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Hierarchically nanostructured thermoelectric materials: challenges and opportunities for improved power factors

The European Physical Journal B volume 93, Article number: 213 (2020) Cite this article

Abstract

The field of thermoelectric materials has undergone a revolutionary transformation over the last couple of decades as a result of the ability to nanostructure and synthesize myriads of materials and their alloys. The ZT figure of merit, which quantifies the performance of a thermoelectric material has more than doubled after decades of inactivity, reaching values larger than two, consistently across materials and temperatures. Central to this ZT improvement is the drastic reduction in the material thermal conductivity due to the scattering of phonons on the numerous interfaces, boundaries, dislocations, point defects, phases, etc., which are purposely included. In these new generation of nanostructured materials, phonon scattering centers of different sizes and geometrical configurations (atomic, nano- and macro-scale) are formed, which are able to scatter phonons of mean-free-paths across the spectrum. Beyond thermal conductivity reductions, ideas are beginning to emerge on how to use similar hierarchical nanostructuring to achieve power factor improvements. Ways that relax the adverse interdependence of the electrical conductivity and Seebeck coefficient are targeted, which allows power factor improvements. For this, elegant designs are required, that utilize for instance non-uniformities in the underlying nanostructured geometry, non-uniformities in the dopant distribution, or potential barriers that form at boundaries between materials. A few recent reports, both theoretical and experimental, indicate that extremely high power factor values can be achieved, even for the same geometries that also provide ultra-low thermal conductivities. Despite the experimental complications that can arise in having the required control in nanostructure realization, in this colloquium, we aim to demonstrate, mostly theoretically, that it is a very promising path worth exploring. We review the most promising recent developments for nanostructures that target power factor improvements and present a series of design ‘ingredients’ necessary to reach high power factors. Finally, we emphasize the importance of theory and transport simulations for materialoptimization, and elaborate on the insight one can obtain from computational tools routinely used in the electronic device communities.

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References

  1. R. Freer, A.V. Powell, J. Mater. Chem. C 8, 441 (2020)

    Article  Google Scholar 

  2. D. Beretta, et al., Mater. Sci. Eng. R 138, 100501 (2019)

    Article  Google Scholar 

  3. H.J. Wu, L.-D. Zhao, F.S. Zheng, D. Wu, Y.L. Pei, X. Tong, M.G. Kanatzidis, J.Q. He, Nat. Commun. 5, 5515 (2014)

    ADS  Article  Google Scholar 

  4. K. Biswas, J. He, I.D. Blum, C.-I. Wu, T.P. Hogan, D.N. Seidman, V.P. Dravid, M.G. Kanatzidis, Nature 489, 414 (2012)

    ADS  Article  Google Scholar 

  5. L.-D. Zhao, S.-H. Lo, Y. Zhang, H. Sun, G. Tan, C. Uher, C. Wolverton, V.P. Dravid, M.G. Kanatzidis, Nature 508, 373 (2014)

    ADS  Article  Google Scholar 

  6. K.F. Hsu et al., Science 80 303, 818 (2004)

    Article  Google Scholar 

  7. T. Fu et al., J. Mater. 2, 141 (2016)

    Google Scholar 

  8. B. Poudel, Q. Hao, Y. Ma, Y. Lan, A. Minnich, B. Yu, X. Yan, D. Wang, A. Muto, D. Vashaee, X. Chen, J. Liu, M.S. Dresselhaus, G. Chen, Z. Ren, Science 320, 634 (2008)

    ADS  Article  Google Scholar 

  9. W. Xie, X. Tang, Y. Yan, Q. Zhang, T.M. Tritt, Appl. Phys. Lett. 94, 10 (2009)

    Google Scholar 

  10. H. Liu et al., Nat. Mater. 11, 422 (2012)

    ADS  Article  Google Scholar 

  11. S.I. Kim et al., Science 80 348, 109 (2015)

    Article  Google Scholar 

  12. A.A. Olvera et al., Energy Environ. Sci. 10, 1668 (2017)

    Article  Google Scholar 

  13. G. Rogl et al., Acta Mater. 63, 30 (2014)

    Article  Google Scholar 

  14. S. Hao, V.P. Dravid, M.G. Kanatzidis, C. Wolverton, npj Comput. Mater. 5, 58 (2019)

    ADS  Article  Google Scholar 

  15. J. Yang et al., npj Comput. Mater. 2, 15015 (2016)

    ADS  Article  Google Scholar 

  16. Y. Zhou, L.-D. Zhao, Adv. Mater. 29, 1702676 (2017)

    Article  Google Scholar 

  17. G. Tan, F. Shi, S. Hao, L.-D. Zhao, H. Chi, X. Zhang, C. Uher, C. Wolverton, V.P. Dravid, M.G. Kanatzidis, Nat. Commun. 7, 12167 (2016)

    ADS  Article  Google Scholar 

  18. C. Chang et al., Science 360, 778 (2018)

    Article  Google Scholar 

  19. B. Srinivasan et al., Inorg. Chem. Frontiers 6, 63 (2019)

    Article  Google Scholar 

  20. B. Hinterleitner et al., Nature 576, 85 (2019)

    ADS  Article  Google Scholar 

  21. V. Fiorentini, R. Farris, E. Argiolas, M.B. Maccioni, Phys. Rev. Mater. 3, 022401(R) (2019)

    ADS  Article  Google Scholar 

  22. B. Qin, D. Wang, W. He, Y. Zhang, H. Wu, S.J. Pennycook L.-D. Zhao, J. Am. Chem. Soc. 141, 1141 (2019)

    Article  Google Scholar 

  23. W. Wei, C. Chang, T. Yang, J. Liu, H. Tang, J. Zhang, Y. Li, F. Xu, Z. Zhang, J.-F. Li, G. Tang, J. Am. Chem. Soc. 140, 499 (2018)

    Article  Google Scholar 

  24. M. Li, D.L. Cortie, J. Liu, D. Yu, SMKN Islam, L. Zhao, D.R.G. Mitchell, R.A. Mole, M.B. Cortie, S. Dou, X. Wang, Nano Energy 53, 993 (2018)

    Article  Google Scholar 

  25. Y. Nakamura, M. Isogawa, T. Ueda, S. Yamasaka, H. Matsui, J. Kikkawa, S. Ikeuchi, T. Oyake, T. Hori, J. Shiomi, A. Sakai, Nano Energy 12, 845 (2015)

    Article  Google Scholar 

  26. J.A.P. Taborda, M.M. Rojo, J. Maiz, N. Neophytou, M.M. González, Sci. Rep. 6, 32778 (2016)

    ADS  Article  Google Scholar 

  27. J-K Yu, S. Mitrovic, D. Tham, J. Varghese, J.R. Heath, Nat. Nanotechnol. 5, 718 (2010)

    ADS  Article  Google Scholar 

  28. J. Lee, W. Lee, G. Wehmeyer, S. Dhuey, D.L. Olynick, S. Cabrini, C. Dames, J.J. Urban, P. Yang, Nat. Commun. 8, 14054 (2017)

    ADS  Article  Google Scholar 

  29. T. Oyake, L. Feng, T. Shiga, M. Isogawa, Y. Nakamura, J. Shiomi, arXiv:1801:04376 (2018)

  30. M. Ohnishi, J. Shiomi, APL Mater. 7, 1 (2019)

    Article  Google Scholar 

  31. B.T. Kearney, B. Jugdersuren, D.R. Queen, T.H. Metcalf, J.C. Culbertson, P.A. Desario, R.M. Stroud, W. Nemeth, Q. Wang, X. Liu. J. Phys.: Condens. Matter 30, 085301 (2018)

    ADS  Google Scholar 

  32. https://issuu.com/euresearcher/docs/nanothermma_eur22_h_res

  33. A. Khitun, K.L. Wang, G. Chen, G., Nanotechnology 11, 327 (2000)

    ADS  Article  Google Scholar 

  34. Z. Wang, J.E. Alaniz, W. Jang, J.E. Garay, C. Dames, Nano Lett. 11, 2206 (2011)

    ADS  Article  Google Scholar 

  35. D. Chakraborty, L. de Sousa Oliveira, N. Neophytou, J. Elec. Mater. 48, 1909 (2019)

    ADS  Article  Google Scholar 

  36. K. Fujita, T. Mochida, K. Nakamura, Jpn. J. Appl. Phys. 40, 4644 (2001)

    ADS  Article  Google Scholar 

  37. N. Shutoh, S. Sakurada, J. Alloys Compd. 389, 204 (2005)

    Article  Google Scholar 

  38. T. He, J. Chen, H.D. Rosenfeld, M.A. Subramanian, Chem. Mater. 18, 759 (2006)

    Article  Google Scholar 

  39. J. Cha, C. Zhou, Y.K. Lee, S.-P. Cho, I. Chung, ACS Appl. Mater. Interfaces 11, 21645 (2019)

    Article  Google Scholar 

  40. P.P. Murmu, J. Kennedy, S. Suman, S.V. Chong, J. Leveneur, J. Storey, S. Rubanov, G. Ramanath, Mater. Des. 163, 107549 (2019)

    Article  Google Scholar 

  41. D. Sidharth, A.S. Alagar Nedunchezhian, R. Rajkumar, N. Yalini Devi, P. Rajasekaran, M. Arivanandhan, K. Fujiwara, G. Anbalagan, R. Jayavel, Phys. Chem. Chem. Phys. 21, 15725 (2019)

    Article  Google Scholar 

  42. A.S.A. Nedunchezhian, D. Sidharth, R. Rajkumar, N. Yalini Devi, K. Maeda, M. Arivanandhan, K. Fujiwara, G. Anbalagan, R. Jayavel, RSC Adv. 10, 18769 (2020)

    Article  Google Scholar 

  43. J.P.A. Makongo et al., J. Am. Chem. Soc. 133, 18843 (2011)

    Article  Google Scholar 

  44. C.M. Jaworski, V. Kulbachinskii, J.P. Heremans, Phys. Rev. B 80, 125208 (2009)

    ADS  Article  Google Scholar 

  45. A. Zevalkink, D.M. Smiadak, J.L. Blackburn, A.J. Ferguson, M.L. Chabinyc, O. Delaire, J. Wang, K. Kovnir, J. Martin, L.T. Schelhas, T.D. Sparks, S.D. Kang, M.T. Dylla, G.J. Snyder, B.R. Ortiz, E.S. Toberer, Appl. Phys. Rev. 5, 021303 (2018)

    ADS  Article  Google Scholar 

  46. Y. Pei, X. Shi, A. LaLonde, H. Wang, L. Chen, G.J. Snyder, Nature 473, 66 (2011)

    ADS  Article  Google Scholar 

  47. Y. Tang, Z.M. Gibbs, L.A. Agapito, G. Li, H.-S. Kim, M.B. Nardelli, S. Curtarolo, G.J. Snyder, Nat. Mater. 14, 1223 (2015)

    ADS  Article  Google Scholar 

  48. P. Norouzzadeh, D. Vashaee, Sci. Rep. 6, 22724 (2016)

    ADS  Article  Google Scholar 

  49. C. Kumarasinghe, N. Neophytou, Phys. Rev. B 99, 195202 (2019)

    ADS  Article  Google Scholar 

  50. M. Zebarjadi, G. Joshi, G. Zhu, B. Yu, A. Minnich, Y. Lan, X. Wang, M. Dresselhaus, Z. Ren, G. Chen, Nano Lett. 11, 2225 (2011)

    ADS  Article  Google Scholar 

  51. A. Samarelli, L. Ferre Llin, S. Cecchi, J. Frigerio, T. Etzelstorfer, E. Müller, Y. Zhang, J.R. Watling, D. Chrastina, G. Isella, J. Stangl, J.P. Hague, J.M.R. Weaver, P. Dobson, D.J. Paul, J. Appl. Phys. 113, 233704 (2013)

    ADS  Article  Google Scholar 

  52. Y.-L. Pei, H. Wu, D. Wu, F. Zheng, J. He, J. Am. Chem. Soc. 136, 13902 (2014)

    Article  Google Scholar 

  53. N. Neophytou, M. Thesberg, J. Comp. Electr. 15, 16 (2016)

    Article  Google Scholar 

  54. Q.R. Hou, B.F. Gu, Y.B. Chen, Y.J. He, J.L. Sun, Appl. Phys. A 114, 943 (2014)

    ADS  Article  Google Scholar 

  55. B.M. Curtin, E.A. Codecido, S. Krämer, J.E. Bowers, Nano Lett. 13, 5503 (2013)

    ADS  Article  Google Scholar 

  56. N. Neophytou, H. Kosina, Appl. Phys. Lett. 105, 073119 (2014)

    ADS  Article  Google Scholar 

  57. J. Moon, J.-H. Kim, Z.C.Y. Chen, J. Xiang, R. Chen, Nano Lett. 13, 1196 (2013)

    ADS  Article  Google Scholar 

  58. B. Yu et al., Nano Lett. 12, 2077 (2012)

    ADS  Article  Google Scholar 

  59. L. Márquez-García, B. Beltrán-Pitarch, D. Powell, G. Min, J. Garcáa-Cañadas, ACS Appl. Energy Mater. 1, 254 (2018)

    Article  Google Scholar 

  60. D. Vashaee, A. Shakouri, Phys. Rev. Lett. 92, 106103 (2004)

    ADS  Article  Google Scholar 

  61. J.-H. Bahk, Z. Bian, A. Shakouri, Phys. Rev. B 89, 075204 (2014)

    ADS  Article  Google Scholar 

  62. A. Popescu, L.M. Woods, J. Martin, G.S. Nolas, Phys. Rev. B 79, 205302 (2009)

    ADS  Article  Google Scholar 

  63. C.J. Vineis, A. Shakouri, A. Majumdar, M.G. Kanatzidis, Adv. Mater. 22, 3970 (2010)

    Article  Google Scholar 

  64. A. Shakouri, Annu. Rev. Mater. Res. 41, 399 (2011)

    ADS  Article  Google Scholar 

  65. J.-H. Bahk, A. Shakouri, Phys. Rev. B 93, 165209 (2016)

    ADS  Article  Google Scholar 

  66. L.-D. Zhao, V.P. Dravid, M.G. Kanatzidis, Energy Environ. Sci. 7, 251 (2014)

    Article  Google Scholar 

  67. M. Zebarjadi, K. Esfarjani, M.S. Dresselhaus, Z.F. Ren, G. Chen, Energy Environ. Sci. 5, 5147 (2012)

    Article  Google Scholar 

  68. N. Neophytou, H. Kosina, J. Appl. Phys. 114, 044315 (2013)

    ADS  Article  Google Scholar 

  69. M. Thesberg, M. Pourfath, H. Kosina, N. Neophytou, J. Appl. Phys. 118, 224301 (2015)

    ADS  Article  Google Scholar 

  70. M. Thesberg, M. Pourfath, N. Neophytou, H. Kosina, J. Electr. Mater. 45, 1584 (2016)

    ADS  Article  Google Scholar 

  71. V. Vargiamidis, N. Neophytou, Phys. Rev. B 99, 045405 (2019)

    ADS  Article  Google Scholar 

  72. R. Kim, M.S. Lundstrom, J. Appl. Phys. 111, 024508 (2012)

    ADS  Article  Google Scholar 

  73. C. Gayner, Y. Amouyal, Adv. Funct. Mater. 2019, 1901789 (2019)

    Google Scholar 

  74. S. Sakane et al., Mater. Today Energy 13, 56 (2019)

    Article  Google Scholar 

  75. T. Ishibe et al., ACS Appl. Mater. Interfaces 10, 37709 (2018)

    Article  Google Scholar 

  76. N. Neophytou, X. Zianni, H. Kosina, S. Frabboni, B. Lorenzi, D. Narducci, Nanotechnology 24, 205402 (2013)

    ADS  Article  Google Scholar 

  77. N. Neophytou, X. Zianni, H. Kosina, S. Frabboni, B. Lorenzi, D. Narducci, J. Electr. Mater. 43, 1896 (2014)

    ADS  Article  Google Scholar 

  78. D. Narducci, B. Lorenzi, X. Zianni, N. Neophytou, S. Frabboni, G.C. Gazzadi, A. Roncaglia, F. Suriano, Phys. Status Solidi A 211, 1255 (2014)

    ADS  Article  Google Scholar 

  79. B. Lorenzi, D. Narducci, R. Tonini, S. Frabboni, G.C. Gazzadi, G. Ottaviani, N. Neophytou, X. Zianni, J. Electr. Mater. 43, 3812 (2014)

    ADS  Article  Google Scholar 

  80. N.S. Bennett, D. Byrne, A. Cowley, N. Neophytou, Appl. Phys. Lett. 109, 173905 (2016)

    ADS  Article  Google Scholar 

  81. N. Neophytou, S. Foster, V. Vargiamidis, G. Pennelli, D. Narducci, Mater. Today Phys. 11, 100159 (2019)

    Article  Google Scholar 

  82. S.K. Bux, R.G. Blair, P.K. Gogna, H. Lee, G. Chen, M.S. Dresselhaus, R.B. Kaner, J.-P. Fleurial, Adv. Funct. Mater. 19, 2445 (2009)

    Article  Google Scholar 

  83. J.J. Kuo, S.D. Kang, K. Imasato, H. Tamaki, S. Ohno, T. Kanno, G.F. Snyder, Energy Environ. Sci. 11, 429 (2018)

    Article  Google Scholar 

  84. L.D. Hicks, M.S. Dresselhaus, Phys. Rev. B 47, 16631 (1993)

    ADS  Article  Google Scholar 

  85. B.C. Sales, D. Mandrus, R.K. Williams, Science 272, 1325 (1996)

    ADS  Article  Google Scholar 

  86. L.D. Hicks, M.S. Dresselhaus, Phys. Rev. B 47, 12727 (1993)

    ADS  Article  Google Scholar 

  87. M.S. Dresselhaus, G. Chen, M.Y. Tang, R.G. Yang, H. Lee, D.Z. Wang, Z.F. Ren, J.P. Fleurial, P. Gonga, Adv. Mater. 19, 1043 (2007)

    Article  Google Scholar 

  88. R. Kim, S. Datta, M.S. Lundstrom, J. Appl. Phys. 105, 034506 (2009)

    ADS  Article  Google Scholar 

  89. N. Neophytou, H. Kosina, Phys. Rev. B 83, 245305 (2011)

    ADS  Article  Google Scholar 

  90. D.M. Rowe, G. Min, AIP Conf. Proc. 316, 339 (1994)

    ADS  Article  Google Scholar 

  91. Y. Nishio, T. Hirano, Jpn. J. Appl. Phys. 36, 170 (1997)

    ADS  Article  Google Scholar 

  92. W.S. Liu, H.S. Kim, S. Chen, Q. Jie, B. Lv, M.L. Yao, Z.S. Ren, C.P. Opeil, S. Wilson, C.W. Chu, Z.F. Ren, Proc. Natl. Acad. Sci. USA 112, 3269 (2015)

    ADS  Article  Google Scholar 

  93. W. Liu, H.S. Kim, Q. Jie, Z. Ren, Scr. Mater. 111, 3 (2016)

    Article  Google Scholar 

  94. J.M.O. Zide, D. Vashaee, Z.X. Bian, G. Zeng, J.E. Bowers, A. Shakouri, A.C. Gossarsd, Phys. Rev. B 74, 205335 (2006)

    ADS  Article  Google Scholar 

  95. R. Venkatasubramanian, E. Siivola, T. Colpitts, B. O’Quinn, Nature 413, 597 (2001)

    ADS  Article  Google Scholar 

  96. T. Tokiai, T. Uesugi, Y. Etoh, S. Tamura, Y. Yoneyama, K. Koumoto, J. Ceram. Soc. Jpn. 104, 837 (1996)

    Article  Google Scholar 

  97. A. Sugiyama, K. Kobayashi, K. Ozaki, T. Nishio, A. Matrumoto, J. Jpn. Met. 62, 1082 (1998)

    Article  Google Scholar 

  98. H.T. Kim, K.Y. Sun, C.H. Lee, Kor. J. Mater. Res. 12, 176 (2002)

    Article  Google Scholar 

  99. K.G. Liu, J.X. Zhang, Q.M. Lu, L. Zhang, M.L. Zhou, Rare, Met. Mater. Eng. 33, 329 (2004)

    Google Scholar 

  100. J.F. Li, J. Liu, Phys. Status Solidi A 203, 3768 (2006)

    ADS  Article  Google Scholar 

  101. Y. Ma et al., Nano Lett. 8, 2580 (2008)

    ADS  Article  Google Scholar 

  102. Y.C. Lan, B. Poudel, Y. Ma, D.Z. Wang, M.S. Dresselhaus, G. Chen, Z.F. Ren, Nano Lett. 9, 1419 (2009)

    ADS  Article  Google Scholar 

  103. W.J. Xie, X.F. Tang, Y.G. Yan, Q.J. Zhang, T.M. Tritt, Appl. Phys. Lett. 94, 102111 (2009)

    ADS  Article  Google Scholar 

  104. W.J. Xie, X.F. Tang, Y.G. Yan, Q.J. Zhang, T.M. Tritt, J. Appl. Phys. 105, 113713 (2009)

    ADS  Article  Google Scholar 

  105. M. Sabarinathan et al., Appl. Sci. 418, 246 (2017)

    ADS  Google Scholar 

  106. H.-C. Chang, T.-H. Chen, W.-T. Whang, C.-H. Chen, J. Mater. Chem. A 3, 10459 (2015)

    Article  Google Scholar 

  107. S. Johnsen, J. He, J. Androulakis, V.P. Dravid, I. Todorov, D.Y. Chung, M.G. Kanatzidis, J. Am. Chem. Soc. 133, 3460 (2011)

    Article  Google Scholar 

  108. C. Zhu, J. Zhang, H. Ming, L. Huang, Y. Li, T. Chen, D. Li, B. Zhang, J. Xu, X. Qin, J. Materiom. (2020), in press

  109. G. Joshi, H. Lee, Y.C. Lan, X.W. Wang, G.H. Zhu, D.Z. Wang, R.W. Gould, D.C. Cuff, M.Y. Tang, M.S. Dresselhaus, G. Chen, Z.F. Ren, Nano Lett. 8, 4670 (2008)

    ADS  Article  Google Scholar 

  110. Y.C. Lan, A.J. Minnich, G. Chen, Z.F. Ren, Nano Lett. 20, 357 (2010)

    Google Scholar 

  111. S. Tanusilp, K. Kurosaki, Materials 12, 1943 (2019)

    ADS  Article  Google Scholar 

  112. A.U. Khan, N. Vlachos, Th. Kyratsi, Scr. Mater. 69, 606 (2013)

    Article  Google Scholar 

  113. A.U. Khana, N.V. Vlachos, E. Hatzikraniotis, G.S. Polymeris, Ch.B. Lioutas, E.C. Stefanaki, K.M. Paraskevopoulos, I. Giapintzakis, Th. Kyratsi, Acta Mater. 77, 43 (2014)

    Article  Google Scholar 

  114. M.N. Norizan, Y. Miyazaki, Y. Ohishi, H. Muta, K. Kurosaki, S. Yamanaka, J. Electron. Mater. 47, 2330 (2018)

    ADS  Article  Google Scholar 

  115. J. Xie, Y. Ohishi, S. Ichikawa, H. Muta, K. Kurosaki, S. Yamanaka, J. Appl. Phys. 121, 205107 (2017)

    ADS  Article  Google Scholar 

  116. S. Tunasilp, K. Kurosaki, A. Yusufu, Y. Ohishi, H. Muta, J. Electr. Mater. 46, 3249 (2017)

    ADS  Article  Google Scholar 

  117. S. Tanusilp, Y. Ohishi, H. Muta, S. Yamanaka, A. Nishide, J. Hayakawa, K. Kurosaki, Phys. Status Solidi RRL 12, 1700372 (2018)

    Article  Google Scholar 

  118. T.S. Kim, I.S. Kim, S.J. Hong, B.S. Chun, Mat. Sci. Eng. B 90, 42 (2002)

    Article  Google Scholar 

  119. P.K. Nguyen, K.H. Lee, J. Moon, Si. I. Kim, K.A. Ahn, L.H. Chen, S.M. Lee, R.K. Chen, S. Jin, A.E. Berkowitz, Nanotechnology 23, 415604 (2012)

    Article  Google Scholar 

  120. W.Z. Wang, B. Poudel, J. Wang, D.Z. Wang, Z.F. Ren, J. Am. Chem. Soc. 127, 13792 (2005)

    Article  Google Scholar 

  121. X.B. Zhao, T. Sun, T.J. Zhu, J.P. Tu, J. Chem. Mater. 15, 1621 (2005)

    Article  Google Scholar 

  122. W.S. Liu, Z.F. Ren, G. Chen, inThermoelectric Nanomaterials, edited by K. Koumoto, T. Mori (Springer Series in Materials Science, Springer-Verlag, Berlin, Heidelberg, 2013)

  123. J. He, M.G. Kanatzidis, V.P. Dravid, Mater. Today 16, 166 (2013)

    Article  Google Scholar 

  124. G. Fugallo, L. Colombo, Phys. Scr. 93, 043002 (2018)

    ADS  Article  Google Scholar 

  125. S. Sakurada, N. Shutoh Appl. Phys. Lett. 86, 082105 (2005)

    ADS  Article  Google Scholar 

  126. L.D. Zhao et al., J. Am. Chem. Soc. 135, 7364 (2013)

    Article  Google Scholar 

  127. C. Zhou et al., J. Am. Chem. Soc. (2020), in press

  128. W.S. Liu, X. Yan, G. Chen, Z.F. Ren, Nano Energy 1, 42 (2012)

    Article  Google Scholar 

  129. W. Liu, J. Hu, S. Zhang, M. Deng, C.-G. Han, Mater. Today Phys. 1, 50 (2017)

    Article  Google Scholar 

  130. T. Berry et al., Chem. Mater. 29, 7042 (2017)

    Article  Google Scholar 

  131. S. Liu, H. Li, W. Han, J. Sun, G. Chen, J. Chen, X. Yang, G. Chen, F. Ma, J. Phys. Chem. C 123, 23817 (2019)

    Article  Google Scholar 

  132. Y. Min, J.W. Roh, H. Yang, M. Park, S. Kim, S. Hwang, S.M. Lee, K.H. Lee, Y. Jeong, Adv. Mater. 25, 1424 (2013)

    Article  Google Scholar 

  133. T.H. Zou, X.Y. Qin, D. Li, B.J. Ren, G.L. Dou, Y.Y. Li, L.L. Li, J. Zhang, H.X. Xin, J. Appl. Phys. 115, 053710 (2014)

    ADS  Article  Google Scholar 

  134. T. Zou, W. Xie, J. Feng, X. Qin, A. Weidenkaff, J. Nanomater. 2015, 64290 (2015)

    Article  Google Scholar 

  135. T.H. Zou, X.Y. Qin, D. Li, G.L. Sun, Y.C. Dou, Q.Q. Wang, B.J. Ren, J. Zhang, H.X. Xin, Y.Y. Li, Appl. Phys. Lett. 104, 013904 (2014)

    ADS  Article  Google Scholar 

  136. S. Wang, H. Li, D. Qi, W. Xie, X. Tang, Acta Mater. 59, 4805 (2011)

    Article  Google Scholar 

  137. T. Zou, X. Qin, Y. Zhang, X. Li, Z. Zeng, D. Li, J. Zhang, H. Xin, W. Xie, A. Weidenkaff, Sci. Rep. 5, 17803 (2015)

    ADS  Article  Google Scholar 

  138. X.H. Yang, X.Y. Qin, Appl. Phys. Lett. 97, 192101 (2010)

    ADS  Article  Google Scholar 

  139. X.H. Yang, X.Y. Qin, J. Appl. Phys. 110, 124308 (2011)

    ADS  Article  Google Scholar 

  140. J. Tang, H.-T. Wang, D.H. Lee, M. Fardy, Z. Huo, T.P. Russell, P. Yang, Nano Lett. 10, 4279 (2010)

    ADS  Article  Google Scholar 

  141. J. Lim, H.-T. Wang, J. Tang, S.C. Andrews, H. So, J. Lee, D.H. Lee, T.P. Russell, P. Yang, ACS Nano 10, 124 (2016)

    Article  Google Scholar 

  142. Y. Zhang, R.J. Mehta, M. Belley, L. Han, G. Ramanath, T. Borca-Tasciuc, Appl. Phys. Lett. 100, 193113 (2012)

    ADS  Article  Google Scholar 

  143. J.X. Qiao et al., ACS Appl. Mater. Interfaces 11, 38075 (2019)

    Article  Google Scholar 

  144. J. Lim, H.T. Wang, J. Tang, S.C. Andrews, H. So, J. Lee, P. Yang, ACS Nano 10, 124 (2015)

    Article  Google Scholar 

  145. J. Lee, J. Lim, P. Yang, Nano Lett. 15, 3273 (2015)

    ADS  Article  Google Scholar 

  146. M.T. Dunham, B. Lorenzi, S.C. Andrews, A. Sood, M. Asheghi, D. Narducci, K.E. Goodson, Appl. Phys. Lett. 109, 253104 (2016)

    ADS  Article  Google Scholar 

  147. B. Lorenzi, R. Dettori, M.T. Dunham, C. Melis, R. Tonini, L. Colombo, A. Sood, K.E. Goodson, D. Narducci, J. Electr. Mater. 47, 5148 (2018)

    ADS  Article  Google Scholar 

  148. S. Gluchko, R. Anufriev, R. Yanagisawa, S. Volz, M. Nomura, Appl. Phys. Lett. 114, 023102 (2019)

    ADS  Article  Google Scholar 

  149. R.H. Tarkhanyan, D.G. Niarchos, J. Mater. Res. 30, 17 (2015)

    Article  Google Scholar 

  150. D. Ding, C. Lu, Z. Tang, Adv. Eng. Mater. Interfaces 4, 1700517 (2017)

    Article  Google Scholar 

  151. Y.C. Zhang, M.L. Snedaker, C.S. Birkel, S. Mubeen, X.L. Ji, Y.F. Shi, D.Y. Liu, X.N. Liu, M. Moskovits, G.D. Stucky, Nano Lett. 12, 1075 (2012)

    ADS  Article  Google Scholar 

  152. D.F. Ding, D.W. Wang, M. Zhao, J.W. Lv, H. Jiang, C.G. Lu, Z.Y. Tang, Adv. Mater. 29, 1603444 (2016)

    Article  Google Scholar 

  153. Q. Zhang, X. Ai, L. Wang, Y. Chang, W. Luo, W. Jiang, L. Chen, Adv. Funct. Mater. 25, 966 (2015)

    Article  Google Scholar 

  154. R.J. Mehta, Y. Zhang, C. Karthik, B. Singh, R.W. Siegel, T. Borca-Tasciuc, G. Ramanath, Nat. Mater. 11, 233 (2012)

    ADS  Article  Google Scholar 

  155. M. Ibanez, R.J. Korkosz, Z. Luo, P. Riba, D. Cadavid, S. Ortega, A. Cabot, M.G. Kanatzidis, J. Am. Chem. Soc. 137, 4046 (2015)

    Article  Google Scholar 

  156. M. Ibanez, R. Zamani, S. Gorsse, J. Fan, S. Ortega, D. Cadavid, J.R. Morante, J. Arbiol, A. Cabot, ACS Nano 7, 2573 (2013)

    Article  Google Scholar 

  157. M. Ibanez, Z. Luo, A. Genc, L. Piveteau, S. Ortega, D. Cadavid, O. Dobrozhan, Y. Liu, M. Nachtegaal, M. Zebarjadi, J. Arbiol, M.V. Kovalenko, A. Cabot, Nat. Commun. 7, 10766 (2016)

    ADS  Article  Google Scholar 

  158. L. Zhao, SMKN Islam, J. Wang, DL Cortie, X. Wang, Z. Cheng, J. Wang, N. Ye, S. Dou, X. Shi, L. Chen, GJ Snyder, X. Wang, Nano Energy 41, 164 (2017)

    Article  Google Scholar 

  159. R. Nunna, P. Qiu, M. Yin, H. Chen, R. Hanus, Q. Song, T. Zhang, M.-Y. Chou, M.T. Agne, J. He, G.J. Snyder, X. Shi, L. Chen, Energy Environ. Sci. 10, 1928 (2017)

    Article  Google Scholar 

  160. H. Liu, X. Yuan, P. Lu, X. Shi, F. Xu, Y. He, Y. Tang, S. Bai, W. Zhang, L. Chen, Y. Lin, L. Shi, H. Lin, X. Gao, X. Zhang, H. Chi, C. Uher, Adv. Mater. 25, 6607 (2013)

    Article  Google Scholar 

  161. Q. Hu, Z. Zhu, Y. Zhang, X.-J. Li, H. Song, Y. Zhang, J. Mater. Chem. A 46, 23417 (2018)

    Article  Google Scholar 

  162. Z. Aksamija, I. Knezevic, Phys. Rev. B 90, 035419 (2014)

    ADS  Article  Google Scholar 

  163. W. Eisenmenger,Phonon Scattering in Condensed Matter V (Springer, Berlin, Heidelberg, 1986), pp. 204–211

  164. M. Maldovan, J. Appl. Phys. 110, 114310 (2011)

    ADS  Article  Google Scholar 

  165. B. Jugdersuren, B.T. Kearney, D.R. Queen, T.H. Metcalf, J.C. Culbertson, C.N. Chervin, R.M. Stroud, W. Nemeth, Q. Wang, X. Liu, Phys. Rev. B 96, 014206 (2017)

    ADS  Article  Google Scholar 

  166. X.J. Zheng, L. Zhu, Y.-H. Zhou, Q. Zhang, Appl. Phys. Lett. 87, 242101 (2005)

    ADS  Article  Google Scholar 

  167. T.C. Harman, P.J. Taylor, M.P. Walsh, B.E. LaForge, Science 297, 2229 (2002)

    ADS  Article  Google Scholar 

  168. S. Foster, N. Neophytou, Comput. Mater. Sci. 164, 91 (2019)

    Article  Google Scholar 

  169. M.H. Lee, J.H. Yun, G. Kim, J.E. Lee, S.-D. Park, H. Reith, G. Schierning, K. Nielsch, W. Ko, A.-P. Li, J.-S. Rhyee, ACS Nano 13, 3806 (2019)

    Article  Google Scholar 

  170. J.S. Son et al., Nano Lett. 12, 640 (2012)

    ADS  Article  Google Scholar 

  171. Z. Ma et al., Nanoscale 12, 1904 (2020)

    Article  Google Scholar 

  172. M. Bachmann, M. Czerner, C. Heiliger, Phys. Rev. B 86, 115320 (2012)

    ADS  Article  Google Scholar 

  173. G. Zeng, J.M.O. Zide, W. Kim, J.E. Bowers, A.C. Gossard, Z. Bian, Y. Zhang, A. Shakouri, S.L. Singer, A. Majumdar, J. Appl. Phys. 101, 034502 (2007)

    ADS  Article  Google Scholar 

  174. A. Ishida, T. Yamada, D. Cao, Y. Inoue, M. Veis, T. Kita, J. Appl. Phys. 106, 023718 (2009)

    ADS  Article  Google Scholar 

  175. X. Meng et al., Adv. Energy Mater. 13, 1602582 (2017)

    Article  Google Scholar 

  176. Y. Wang et al., J. Power Sources 241, 255 (2013)

    ADS  Article  Google Scholar 

  177. H. Wu, J. Carrete, Z. Zhang et al. NPG Asia Mater 6, e108 (2014)

    Article  Google Scholar 

  178. H. Mizuno, S. Mossa, J.-L. Barrat, Sci. Rep. 5, 14116 (2015)

    ADS  Article  Google Scholar 

  179. R. Kim, M. Lundstrom, J. Appl. Phys. 110, 034511 (2011)

    ADS  Article  Google Scholar 

  180. M. Thesberg, H. Kosina, N. Neophytou, J. Appl. Phys. 120, 234302 (2016)

    ADS  Article  Google Scholar 

  181. V. Vargiamidis, M. Thesberg, N. Neophytou, J. Appl. Phys. 126, 055105 (2019)

    ADS  Article  Google Scholar 

  182. S. Foster, M. Thesberg, N. Neophytou, Phys. Rev. B 96, 195425 (2017)

    ADS  Article  Google Scholar 

  183. N. Neophytou, H. Kosina, Phys. Rev. B 84, 085313 (2011)

    ADS  Article  Google Scholar 

  184. M. Verdier, K. Termentzidis, D. Lacroix, J. Appl. Phys. 119, 175104 (2016)

    ADS  Article  Google Scholar 

  185. A. Minnich, G. Chen, Appl. Phys. Lett. 91, 073105 (2007)

    ADS  Article  Google Scholar 

  186. S. Fan, J. Zhao, Q. Yan, J. Ma, H.H. Hng, J. Electr. Mater. 40, 1018 (2011)

    ADS  Article  Google Scholar 

  187. S. Sumithra et al., J. Electr. Mater. 41, 1401 (2012)

    ADS  Article  Google Scholar 

  188. H. Guo et al., J. Alloys Compd. 689, 87 (2016)

    Article  Google Scholar 

  189. R. Heijl et al., J. Appl. Phys. 112, 044313 (2012)

    ADS  Article  Google Scholar 

  190. J. Zhang et al., ACS Appl. Mater. Interfaces 12, 37155 (2020)

    Article  Google Scholar 

  191. S. Ghosh et al., ACS Appl. Energy Mater. 3, 635 (2020)

    Article  Google Scholar 

  192. Y. Dou et al., J. Mater. Sci.: Mater. Electr. 31, 4808 (2020)

    Google Scholar 

  193. L.P. Bulat et al., J. Solid State Chem. 193, 122 (2012)

    ADS  Article  Google Scholar 

  194. M. Liu, X.Y. Qin, Appl. Phys. Lett. 101, 132103 (2012)

    ADS  Article  Google Scholar 

  195. S.V. Faleev, F. Leonard, Phys. Rev. B 77, 214304 (2008)

    ADS  Article  Google Scholar 

  196. V. Vargiamidis, S. Foster, N. Neophytou, Phys. Status Solidi A 2018, 1700997 (2018)

    Article  Google Scholar 

  197. S.I. Kim et al., Appl. Phys. Express 4, 091801 (2011)

    ADS  Article  Google Scholar 

  198. B. Jabar et al., J. Mater. Chem. A 7, 19120 (2019)

    Article  Google Scholar 

  199. J. Peng, L. Fu, Q. Liu, M. Liu, J. Yang, D. Hitchcock, M. Zhou, J. He, J. Mater. Chem. A 2, 73 (2014)

    Article  Google Scholar 

  200. J.P. Heremans et al., J. Appl. Phys. 98, 063703 (2005)

    ADS  Article  Google Scholar 

  201. G. Romano, J.C. Grossman, Phys. Rev. B 96, 115425 (2017)

    ADS  Article  Google Scholar 

  202. L. Wang, M. Hong, Q. Sun, Y. Wang, L. Yue, S. Zheng, J. Zou, Z.-G. Chen, ACS Appl. Mater. Interfaces 12, 36370 (2020)

    Article  Google Scholar 

  203. A. Banik, B. Vishal, S. Perumal, R. Datta, K. Biswas, Energy Environ. Sci. 9, 2011 (2016)

    Article  Google Scholar 

  204. S. Perumal, P. Bellare, U.S. Shenoy, U.V. Waghmare, K. Biswas, Chem. Mater. 29, 10426 (2017)

    Article  Google Scholar 

  205. S. Ju, T. Shiga, L. Feng, J. Shiomi, Phys. Rev. B 97, 184305 (2018)

    ADS  Article  Google Scholar 

  206. H. Honarvar, M.I. Hussein, Phys. Rev. B 97, 195413 (2018)

    ADS  Article  Google Scholar 

  207. X. Yang, W. Li, Phys. Rev. Mater. 2, 015401 (2018)

    Article  Google Scholar 

  208. D.P. Sellan, E.S. Landry, J.E. Turney, A.J.H. McGaughey, C.H. Amon, Phys. Rev. B 81, 214305 (2010)

    ADS  Article  Google Scholar 

  209. R. Dettori, C. Melis, X. Cartoix, R. Rurali, L. Colombo, Phys. Rev. B 91, 054305 (2015)

    ADS  Article  Google Scholar 

  210. C. Jeong, S. Datta, M. Lundstrom, J. Appl. Phys. 111, 093708 (2012)

    ADS  Article  Google Scholar 

  211. L.d.S. Oliveira, V. Vargiamidis, N. Neophytou, IEEE Trans. Nanotechnol. 18, 896 (2019)

    ADS  Article  Google Scholar 

  212. D. Chakraborty, S. Foster, N. Neophytou, Phys. Rev. B 98, 115435 (2018)

    ADS  Article  Google Scholar 

  213. P.E. Hopkins, C.M. Reinke, M.F. Su, R.H. Olsson III, E.A. Shaner, Z.C. Leseman, J.R. Serrano, L.M. Phinney, I.E.-Kady, Nano Lett. 11, 107 (2011)

    ADS  Article  Google Scholar 

  214. L. de S. Oliveira, S.A. Hosseini, A. Greaney, N. Neophytou, Phys. Rev. B, under review

  215. Y. Peng, H. Lai, C. Liu, J. Gao, M. Kurosawa, O. Nakatsuka, T. Takeuchi, S. Zaima, S. Tanemura, L. Miao, Appl. Phys. Lett. 117, 053903 (2020)

    ADS  Article  Google Scholar 

  216. N. Neophytou, T. Rakshit, M.S. Lundstrom, IEEE Trans. Electr. Devices 56, 1377 (2009)

    ADS  Article  Google Scholar 

  217. D.-H. Kim, J. del Alamo, Int. Electr. Dev. Meeting 2007, 629 (2007)

    Google Scholar 

  218. N. Neophytou, H. Kosina, Appl. Phys. Lett. 105, 073119 (2014)

    ADS  Article  Google Scholar 

  219. B.M. Curtin, J.E. Bowers, J. Appl. Phys. 115, 143704 (2014)

    ADS  Article  Google Scholar 

  220. Y. Tian, M.R. Sakr, J.M. Kinder, D. Liang, M.J. MacDonald, R.L.J. Qiu, H.-J. Gao, X.P.A. Gao, Nano Lett. 12, 6492 (2012)

    ADS  Article  Google Scholar 

  221. J. Moon, J.-H. Kim, Z.C.Y. Chen, J. Xiang, R. Chen, Nano Lett. 13, 1196 (2013)

    ADS  Article  Google Scholar 

  222. W. Liang, A.I. Hochbaum, M. Fardy, O. Rabin, M. Zhang, P. Yang, Nano Lett. 9, 1689 (2009)

    ADS  Article  Google Scholar 

  223. Z. Viskadourakis, M.L. Paramês, O. Conde, M. Zervos, J. Giapintzakis, Appl. Phys. Lett. 101, 033505 (2012)

    ADS  Article  Google Scholar 

  224. M. Zervos, Z. Viskadourakis, G. Athanasopoulos, M.L. Paramês, O. Conde, J. Giapintzakis, J. Appl. Phys. 115, 033709 (2014)

    ADS  Article  Google Scholar 

  225. J.Y.W. Seto, J. Appl. Phys. 46, 5247 (1975)

    ADS  Article  Google Scholar 

  226. J.W. Orton, M.J. Powell, Rep. Prog. Phys. 43, 1263 (1980)

    ADS  Article  Google Scholar 

  227. N.H. Nickel, P. Lengsfeld, I. Sieber, Phys. Rev. B 61, 15558 (2000)

    ADS  Article  Google Scholar 

  228. N. Neophytou,Theory and Simulation Methods for Electronic and Phononic Transport in Thermoelectric Materials (Springer, 2020)

  229. S. Datta,Quantum Transport: Atom to Transistor (Cambridge Univ. Press, Cambridge, UK, 2005)

  230. C. Jacoboni, L. Reggiani, Rev. Mod. Phys. 55, 645 (1983)

    ADS  Article  Google Scholar 

  231. M.V. Fischetti, S.E. Laux, Phys. Rev. B 48, 2244 (1993)

    ADS  Article  Google Scholar 

  232. S.O. Koswatta, S. Hasan, M.S. Lundstrom, M.P. Anantram, D.E. Nikonov, IEEE Trans. Electr. Dev. 54, 2339 (2007)

    ADS  Article  Google Scholar 

  233. Y. Long, J.Z. Huang, Q. Huang, N. Xu, X. Jiang, Z.-C. Niu, D. Esseni, R. Huang, S.-S. Li, IEEE Trans. Electr. Dev. 66, 4982 (2019)

    ADS  Article  Google Scholar 

  234. P. Graziosi, N. Neophytou, Effective masses in complex band structures, a code to extract them, arXiv:1912.10924 [cond-mat.mtrl-sci]

  235. J. Zhou, H. Zhu, T.H. Liu, Q. Song, R. He, J. Mao, Z. Liu, W. Ren, B. Liao, D.J. Singh, Z. Ren, G. Chen, Nat. Commun. 9, 1721 (2018)

    ADS  Article  Google Scholar 

  236. G.K.H. Madsen, D.J. Singh, Comput. Phys. Commun. 175, 67 (2006)

    ADS  Article  Google Scholar 

  237. G. Pizzi, D. Volja, B. Kozinsky, M. Fornari, N. Marzari, Comput. Phys. Commun. 185, 422 (2014)

    ADS  Article  Google Scholar 

  238. J. Jiang et al., J. Appl. Phys. 109, 014326 (2011)

    ADS  Article  Google Scholar 

  239. M. Luisier, G. Klimeck, Phys. Rev. B 80, 1 (2009)

    Article  Google Scholar 

  240. S. Jin, Y.J. Park, H.S. Min, J. Appl. Phys. 99, 12 (2006)

    Google Scholar 

  241. S. Foster, Electronic transport simulations of thermoelectric nanostructures, PhD Thesis University of Warwick, 2019

  242. M. Zebarjadi et al., Phys. Rev. B 74, 195331 (2006)

    ADS  Article  Google Scholar 

  243. X. Zianni, J. Electr. Mater. 45, 3 (2016)

    Article  Google Scholar 

  244. X. Zianni, P. Chantrenne, D. Narducci, Energy Harvest. Syst. 3, 323 (2016)

    Google Scholar 

  245. Q. Hao, Y. Xiao, J. Appl. Phys. 125, 064301 (2019)

    ADS  Article  Google Scholar 

  246. T.T.T. Nghiêm, J. Saint-Martin, P. Dollfus, J. Comput. Electr. 15, 3 (2016)

    Article  Google Scholar 

  247. E.B. Ramayya et al., Phys. Rev. B 86, 115328 (2012)

    ADS  Article  Google Scholar 

  248. M. Vasilakaki et al., Materials Today: Proceedings (2020), in press

  249. M. Lundstrom,Fundamentals of Carrier Transport (Cambridge University Press, 2000)

  250. D. Lacroix, K. Joulain, D. Lemonnier, Phys. Rev. B 72, 064305 (2005)

    ADS  Article  Google Scholar 

  251. S. Mazumder, A. Majumdar, J. Heat Transfer 123, 749 (2001)

    Article  Google Scholar 

  252. S. Mei, L.N. Maurer, Z. Aksamija, I. Knezevic, J. Appl. Phys. 116, 164307 (2014)

    ADS  Article  Google Scholar 

  253. S. Wolf, N. Neophytou, H. Kosina, J. Appl. Phys. 115, 204306 (2014)

    ADS  Article  Google Scholar 

  254. R.B. Peterson, J. Heat Transfer 116, 815 (1994)

    ADS  Article  Google Scholar 

  255. V. Jean, S. Fumeron, K. Termentzidis, S. Tutashkonko, D. Lacroix, J. Appl. Phys. 115, 024304 (2014)

    ADS  Article  Google Scholar 

  256. A.J.H. McGaughey, A. Jain, Appl. Phys. Lett. 100, 061911 (2012)

    ADS  Article  Google Scholar 

  257. E. Pop, R.W. Dutton, K.E. Goodson, J. Appl. Phys. 96, 4998 (2004)

    ADS  Article  Google Scholar 

  258. E. Pop, S. Sinha, K.E. Goodson, J. Electron. Packag. 128, 102 (2006)

    Article  Google Scholar 

  259. Q. Hao, G. Chen, M.-S. Jeng, J. Appl. Phys. 106, 114321 (2009)

    ADS  Article  Google Scholar 

  260. Z. Aksamija, I. Knezevic, J. Comput. Electr. 9, 173 (2010)

    Article  Google Scholar 

  261. H. Karamitaheri, M. Pourfath, H. Kosina, N. Neophytou, Phys. Rev. B 91, 16 (2015)

    Article  Google Scholar 

  262. T. Yamamoto, K. Watanabe. Phys. Rev. Lett. 96, 255503 (2006)

    ADS  Article  Google Scholar 

  263. T. Markussen, A.P. Jauho, M. Brandbyge, Phys. Rev. B 79, 1 (2009)

    Article  Google Scholar 

  264. H. Karamitaheri, N. Neophytou, M. Pourfath, R. Faez, H. Kosina, J. Appl. Phys. 111, 054501 (2012)

    ADS  Article  Google Scholar 

  265. Z. Huang, T.S. Fisher, J.Y. Murthy, J. Appl. Phys. 108, 114310 (2010)

    ADS  Article  Google Scholar 

  266. M. Luisier, J. Appl. Phys. 110, 074510 (2011)

    ADS  Article  Google Scholar 

  267. Y. Lee, M. Bescond, D. Logoteta, N. Cavassilas, M. Lannoo, M. Luisier, Phys. Rev. B 97, 205447 (2018)

    ADS  Article  Google Scholar 

  268. Y. Xu et al., Phys. Rev. B 78, 224303 (2008)

    ADS  Article  Google Scholar 

  269. S. Neogi, D. Donadio, Eur. Phys. J. B 88, 73 (2015)

    ADS  Article  Google Scholar 

  270. S. Neogi et al., ACS Nano 9, 3820 (2015)

    Article  Google Scholar 

  271. T. Zushi et al., Phys. Rev. B 91, 115308 (2015)

    ADS  Article  Google Scholar 

  272. J. Chen, G. Zhang, B. Li, Nano Lett. 10, 3978 (2010)

    ADS  Article  Google Scholar 

  273. J. Chen, G. Zhang, B. Li, Nano Lett. 12, 2826 (2012)

    ADS  Article  Google Scholar 

  274. M. Hu et al., Phys. Rev. B 84, 085442 (2011)

    ADS  Article  Google Scholar 

  275. L.d.S. Oliveira, N. Neophytou, Phys. Rev. B 100, 035409 (2019)

    ADS  Article  Google Scholar 

  276. P.K. Schelling, S.R. Phillpot, P. Keblinski. Phys. Rev. B 65, 1 (2002)

    Article  Google Scholar 

  277. A. Chernatynskiy, D. Clarke, S. Phillpot, inHandbook of Nanoscience, Engineering, and Technology, 3rd edn. (CRC Press, Boca Raton, 2012), pp. 545–572

  278. M. Verdier, K. Termentzidis, D. Lacroix, J. Appl. Phys. 119, 17 (2016)

    Article  Google Scholar 

  279. M. Verdier, D. Lacroix, K. Termentzidis, Phys. Rev. B 98, 155434 (2018)

    ADS  Article  Google Scholar 

  280. K. Termentzidis, M. Verdier, D. Lacroix, Zeitschrift Fur Naturforschung 72, 189 (2017)

    ADS  Article  Google Scholar 

  281. J. Severin, P. Jund, J. Chem. Phys. 146, 054505 (2017)

    ADS  Article  Google Scholar 

  282. R. Dettori, C. Melis, X. Cartoixà, R. Rurali, L. Colombo, Phys. Rev. B 91, 054305 (2015)

    ADS  Article  Google Scholar 

  283. A. Antidormi, X. Cartoixà, L. Colombo, Phys. Rev. Mater. 2, 056001 (2018)

    Article  Google Scholar 

  284. K.R. Hahn, S. Cecchi, L. Colombo, Appl. Phys. Lett. 108, 203102 (2016)

    ADS  Article  Google Scholar 

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Authors and Affiliations

  1. School of Engineering, University of Warwick, Coventry, CV4 7AL, UK

    Neophytos Neophytou, Vassilios Vargiamidis, Samuel Foster, Patrizio Graziosi, Dhritiman Chakraborty & Zhen Li

  2. Consiglio Nazionale delle Ricerche–Istituto per lo Studio dei Materiali Nanostrutturati, CNR–ISMN, via Gobetti 101, 40129, Bologna, Italy

    Patrizio Graziosi

  3. Department of Chemistry, University of Wyoming, Laramie, 82071, USA

    Laura de Sousa Oliveira

  4. Institute for Microelectronics, Vienna University of Technology, Vienna, Austria

    Mischa Thesberg & Hans Kosina

  5. Centre for Advanced Manufacturing, Faculty of Engineering and Information Technology, University of Technology Sydney, Sydney, NSW 2007, Australia

    Nick Bennett

  6. Department of Information Engineering, University of Pisa, Pisa, 56122, Italy

    Giovanni Pennelli

  7. University of Milano Bicocca, Dept. Materials Science, via R. Cozzi 55, 20125, Milan, Italy

    Dario Narducci

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  1. Neophytos Neophytou
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Neophytou, N., Vargiamidis, V., Foster, S. et al. Hierarchically nanostructured thermoelectric materials: challenges and opportunities for improved power factors. Eur. Phys. J. B 93, 213 (2020). https://doi.org/10.1140/epjb/e2020-10455-0

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Keywords

  • Solid State and Materials