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Thermoelectric figure of merit in a quantum wire coupled to a graphene sheet between ferromagnetic leads

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Abstract

We theoretically investigate the figure of merit ZT for a quantum wire side-coupled by a graphene sheet and sandwiched between two ferromagnetic electrodes with noncollinear magnetic moments. By using the nonequilibrium Green’s function combining with the tight-binding Hamiltonian, we demonstrate that the ZT for the system develops an oscillating behavior and weakly depends on the wire-graphene coupling strength as well as magnetic configuration of the leads. On the contrary, it is strongly dependent on temperature and the polarization strength of the leads. Importantly, the maximum value of ZT for the system without the polarization strength (p = 0) is about 1.1 at temperature k B T = 0.015Γ 0, which is in agreement with the experimental measurements for silicon nanowires.

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References

  1. G.S. Nolas, J. Sharp, J. Goldsmid, Thermoelectrics: Basic Principles and New Materials Developments (Springer, New York, 2001)

  2. P. Murphy, S. Mukerjee, J. Moore, Phys. Rev. B 78, 161406(R) (2008)

    Article  ADS  Google Scholar 

  3. M. Cutler, N.F. Mott, Phys. Rev. 181, 1336 (1969)

    Article  ADS  Google Scholar 

  4. G.J. Snyder, E.S. Toberer, Nat. Mater. 7, 105 (2008)

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  7. X. Sun, Z. Zhang, M.S. Dresselhaus, Appl. Phys. Lett. 74, 4005 (1999)

    Article  ADS  Google Scholar 

  8. J.H.A. Hagelaar, C.F.J. Flipseand, J.I. Cerdá, Phys. Rev. B 78, 161405(R) (2008)

    Article  ADS  Google Scholar 

  9. D.M.-T. Kuo, Y.-C. Chang, Phys. Rev. B 81, 205321 (2010)

    Article  ADS  Google Scholar 

  10. J. Liu, Q.-F. Sun, X.C. Xie, Phys. Rev. B 81, 245323 (2010)

    Article  ADS  Google Scholar 

  11. A.I. Boukai, Y. Bunimovich, J. Tahir-Kheli, J.-K. Yu, W.A. Goddard III, J.R. Heath, Nature 451, 168 (2008)

    Article  ADS  Google Scholar 

  12. A.I. Hochbaum, R. Chen, R.D. Delgado, W. Liang, E.C. Garnett, M. Najarian, A. Majumdar, P. Yang, Nature 451, 163 (2008)

    Article  ADS  Google Scholar 

  13. K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, Y. Zhang, S.V. Dubonos, I.V. Grigorieva, A.A. Firsov, Science 306, 666 (2004)

    Article  ADS  Google Scholar 

  14. X. Li, X. Wang, L. Zhang, S. Lee, H. Dai, Science 319, 1229 (2008)

    Article  ADS  Google Scholar 

  15. Y.M. Zuev, W. Chang, P. Kim, Phys. Rev. Lett. 102, 096807 (2009)

    Article  ADS  Google Scholar 

  16. P. Wei, W. Bao, Y. Pu, C.N. Lau, J. Shi, Phys. Rev. Lett. 102, 166808 (2009)

    Article  ADS  Google Scholar 

  17. T. Löfwander, M. Fogelström, Phys. Rev. B 76, 193401 (2007)

    Article  ADS  Google Scholar 

  18. M. Müller, L. Fritz, S. Sachdev, Phys. Rev. B 78, 115406 (2008)

    Article  ADS  Google Scholar 

  19. X. Ni, G. Liang, J.-S. Wang, B. Li, Appl. Phys. Lett. 95, 192114 (2009)

    Article  ADS  Google Scholar 

  20. H. Zheng, H.J. Liu, X.J. Tan, H.Y. Lv, L. Pan, J. Shi, X.F. Tang, Appl. Phys. Lett. 100, 093104 (2012)

    Article  ADS  Google Scholar 

  21. H. Sevinçli, G. Cuniberti, Phys. Rev. B 81, 113401 (2010)

    Article  ADS  Google Scholar 

  22. J. Haskins, A. Kınacı, C. Sevik, H. Sevinçli, G. Cuniberti, T. Çağın, ACS Nano 5, 3779 (2011)

    Article  Google Scholar 

  23. D.A. Abanin, L.S. Levitov, Science 317, 641 (2007)

    Article  ADS  Google Scholar 

  24. K.S. Novoselov, Z. Jiang, Y. Zhang, S.V. Morozov, H.L. Stormer, U. Zeitler, J.C. Maan, G.S. Boebinger, P. Kim, A.K. Geim, Science 315, 1379 (2007)

    Article  ADS  Google Scholar 

  25. B. Zhou, B. Zhou, A. Zeng, G. Zhou, F.-B. Yang, J. Appl. Phys. 113, 143508 (2013)

    Article  ADS  Google Scholar 

  26. Y. Meir, N.S. Wingreen, Phys. Rev. Lett. 68, 2512 (1992)

    Article  ADS  Google Scholar 

  27. V.M. Pereira, A.H. Castro Neto, Phys. Rev. Lett. 103, 046801 (2009)

    Article  ADS  Google Scholar 

  28. Z. Wu, F. Zhai, F.M. Peeters, H.Q. Xu, K. Chang, Phys. Rev. Lett. 106, 176802 (2011)

    Article  ADS  Google Scholar 

  29. B. Zhou, X. Chen, H. Wang, K.-H. Ding, G. Zhou, J. Phys.: Condens. Matter 22, 445302 (2010)

    ADS  Google Scholar 

  30. W. Gong, Y. Zheng, Y. Liu, T. Lü, Phys. Rev. B 73, 245329 (2006)

    Article  ADS  Google Scholar 

  31. R. Świrkowicz, M. Wierzbicki, J. Barnaś, Phys. Rev. B 80, 195409 (2009)

    Article  ADS  Google Scholar 

  32. P. Trocha, J. Barnaś, Phys. Rev. B 85, 085408 (2012)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  34. T. Markussen, A.-P. Jauho, M. Brandbyge, Phys. Rev. Lett. 103, 055502 (2009)

    Article  ADS  Google Scholar 

  35. Y. Zhang, M.S. Dresselhaus, Y. Shi, Z. Ren, G. Chen, Nano Lett. 11, 1166 (2011)

    Article  ADS  Google Scholar 

  36. Z.F. Wang, Q. Li, H. Su, X. Wang, Q.W. Shi, J. Chen, J. Yang, J.G. Hou, Phys. Rev. B 75, 085424 (2007)

    Article  ADS  Google Scholar 

  37. M.B. Tagani, H.R. Soleimani, J. Appl. Phys. 113, 143709 (2013)

    Article  ADS  Google Scholar 

  38. T.-S. Kim, S. Hershfield, Phys. Rev. B 65, 214526 (2002)

    Article  ADS  Google Scholar 

  39. A.I. Yanson, G.R. Bollinger, H.E. van den Brom, N. Agraït, J.M. van Ruitenbeek, Nature 395, 783 (1998)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Shaoyang University, Shaoyang, 422001, P.R. China

    Benhu Zhou, Yangsu Zeng & Aihua Zeng

  2. Department of Physics and Key Laboratory for Low-Dimensional Structures and Quantum Manipulation (Ministry of Education), Hunan Normal University, Changsha, 410081, P.R. China

    Benliang Zhou & Guanghui Zhou

Authors
  1. Benhu Zhou
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  2. Benliang Zhou
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  3. Yangsu Zeng
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  4. Aihua Zeng
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  5. Guanghui Zhou
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Correspondence to Benhu Zhou.

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Zhou, B., Zhou, B., Zeng, Y. et al. Thermoelectric figure of merit in a quantum wire coupled to a graphene sheet between ferromagnetic leads. Eur. Phys. J. B 87, 97 (2014). https://doi.org/10.1140/epjb/e2014-40979-5

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  • DOI: https://doi.org/10.1140/epjb/e2014-40979-5

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