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SixGe1-x alloy as efficient phonon barrier in Ge/Si superlattices for thermoelectric applications

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Abstract

By means of atomistic simulations we study how thermal transport is affected by several chemical and morphological parameters in Ge/Si superlattices. We predict thermal conductivity as a function of the alloy barrier stoichiometry and period ratio. Our final target is to provide some technologically useful guidelines for thermoelectric design. In particular, we estimate the optimal Si concentration in the alloy barrier providing a significant thermal conductivity reduction as needed to maximize the thermoelectric figure of merit. We find that thermal conductivity is strongly affected by the barrier stoichiometry x and we suggest 10% ≤ x ≤ 20% as the optimal quantity. Moreover, we observe a thermal conductivity non-monotonic dependence on the period ratio having a minimum for a 2:1 value.

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References

  1. M.H. Elsheikh, D.A. Shnawah, M.F.M. Sabri, S.B.M. Said, M.H. Hassan, M.B.A. Bashir, M. Mohamad, Renew. Sust. Energ. Rev. 30, 337 (2014)

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  3. B. Yang, G. Chen, in Thermal Conductivity: Theory, Properties and Applications, edited by T.M. Tritt (Kluwar Press, 2005)

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

    Article  ADS  Google Scholar 

  5. R. Rurali, X. Cartoixà, L. Colombo, Phys Rev. B 90, 041408 (2014)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  7. G. Chen, Phys. Rev. B 57, 14958 (1998)

    Article  ADS  Google Scholar 

  8. K.H. Lin, A. Strachan, Phys. Rev. B. 87, 115302 (2013)

    Article  ADS  Google Scholar 

  9. Y.K. Koh, Y. Cao, D.G. Cahill, D. Jena, Adv. Funct. Mater. 19, 610 (2009)

    Article  Google Scholar 

  10. G. Chen, C.L. Tien, J. Thermophys. Heat Transf. 7, 311 (1993)

    Article  ADS  Google Scholar 

  11. Z. Chen, J. Yang, Y. Chen, Chin. Sci. Bull. 51, 2931 (2006)

    Article  Google Scholar 

  12. Y. Chen, D. Li, J.R. Lukes, Physica B 349, 270 (2004)

    Article  ADS  Google Scholar 

  13. Y. Chen, D. Li, J.R. Lukes, Z. Ni, M. Chen, Phys. Rev. B 72, 174302 (2005)

    Article  ADS  Google Scholar 

  14. I. Savić, D. Donadio, F. Gygi, G. Galli, Appl. Phys. Lett. 102, 073113 (2013)

    Article  ADS  Google Scholar 

  15. S. Chakraborty, C.A. Kleint, A. Heinrich, C.M. Schneider, J. Schumann, M. Falke, S. Teichert, Appl. Phys. Lett. 83, 4184 (2003)

    Article  ADS  Google Scholar 

  16. T. Borca-Tasciuc, W. Liu, J.L. Liu, T. Zeng, D.W. Song, C.D. Moore, G. Chen, K.L. Wang, M.S. Goorsky, T. Radetic, R. Gronsky, T. Koga, M.S. Dresselhaus, Superlattices Microstruct. 28, 199 (2000)

    Article  ADS  Google Scholar 

  17. L. Ferre Llin, A. Samarelli, S. Cecchi, T. Etzelstorfer, E. Mueller Gubler, D. Chrastina, G. Isella, J. Stangl, J.M.R. Weaver, P.S. Dobson, D.J. Paul, Appl. Phys. Lett. 103, 143507 (2013)

    Article  ADS  Google Scholar 

  18. T.H. Geballe, G.W. Hull, Phys. Rev. 94, 1134 (1954)

    Article  ADS  Google Scholar 

  19. C. Melis, R. Dettori, S. Vandermeulen, L. Colombo, Eur. Phys. J. B 87, 96 (2014)

    Article  ADS  Google Scholar 

  20. E. Lampin, P.L. Palla, P.A. Francioso, F. Cleri, J. Appl. Phys. 114, 033525 (2013)

    Article  ADS  Google Scholar 

  21. E. Lampin, Q.H. Nguyen, P.A. Francioso, F. Cleri, Appl. Phys. Lett. 100, 131906 (2012)

    Article  ADS  Google Scholar 

  22. S. Plimpton, J. Comput. Phys. 117, 1 (1995)

    Article  ADS  MATH  Google Scholar 

  23. C. Melis, L. Colombo, Phys. Rev. Lett. 112, 065901 (2014)

    Article  ADS  Google Scholar 

  24. K.R. Hahn, C. Melis, L. Colombo, Eur. Phys. J. B 87, 150 (2014)

    Article  ADS  Google Scholar 

  25. M. Peressi, L. Colombo, R. Resta, S. Baroni, A. Baldereschi, Phys. Rev. B 48, 12047 (1993)

    Article  ADS  Google Scholar 

  26. C.G. Van de Walle, Phys. Rev. B 39, 1871 (1989)

    Article  ADS  Google Scholar 

  27. F. Schaffler, in Properties of Advanced Semiconductor Materials GaN, AlN, InN, BN, SiC, SiGe, edited by M.E. Levinshtein, S.L. Rumyantsev, M.S. Shur (John Wiley & Sons, Inc., New York, 2001)

  28. K. Moriguchi, A. Shintani, Jpn J. Appl. Phys. 37, 414 (1998)

    Article  ADS  Google Scholar 

  29. P.K. Schelling, S.R. Phillpot, P. Keblinski, Phys. Rev. B 65, 144306 (2002)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  31. X. Xu et al., Nat. Commun. 5, 3689 (2014)

    ADS  Google Scholar 

  32. J. Garg, N. Bonini, B. Kozinsky, N. Marzari, Phys. Rev. Lett. 106, 045901 (2011)

    Article  ADS  Google Scholar 

  33. G. Busch, O. Vogt, Helv. Phys. Acta 33, 437 (1960)

    Google Scholar 

  34. M.V. Simkin, G.D. Mahan, Phys. Rev. Lett. 84, 927 (2000)

    Article  ADS  Google Scholar 

  35. B. Yang, G. Chen, Phys. Rev. B 67, 195311 (2003)

    Article  ADS  Google Scholar 

  36. P. Chen, N.A. Katcho, J.P. Feser, W. Li, M. Glaser, O.G. Schmidt, D.G. Cahill, N. Mingo, A. Rastelli, Phys. Rev. Lett. 111, 115901 (2013)

    Article  ADS  Google Scholar 

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Correspondence to Claudio Melis.

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Dettori, R., Melis, C. & Colombo, L. SixGe1-x alloy as efficient phonon barrier in Ge/Si superlattices for thermoelectric applications. Eur. Phys. J. B 88, 27 (2015). https://doi.org/10.1140/epjb/e2014-50628-8

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