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Electronic thermal Hall effect in silicene

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Abstract

We theoretically investigate the electronic thermal Hall effect in silicene via a discrete four-band model. Based on the linear response theory, a formalism to address the transverse thermal conductivity is developed. In the absence of an exchange field, the transverse thermal conductivity vanishes due to the time-reversal symmetry. The transverse conductivity becomes finite in the presence of an exchange field and exhibits several peaks with opposite signs. The peak values increase as the field becomes strong. However, as the temperature becomes high, the peak values begin to decay. The results may be helpful in exploring spin caloritronics based on silicene.

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References

  1. J.P. Heremans, M.S. Dresselhaus, L.E. Bell, D.T. Morelli, Nat. Nanotechnol. 8, 471 (2013)

    Article  ADS  Google Scholar 

  2. G.J. Snyder, E.R. Toberer, Nat. Mater. 7, 105 (2008)

    Article  ADS  Google Scholar 

  3. J.P. Heremans, V. Jovovic, E.S. Toberer, A. Saramat, K. Kurosaki, A. Charoenphakdee, S. Yamanaka, G.J. Snyder, Science 321, 554 (2008)

    Article  ADS  Google Scholar 

  4. J. Zhou, R. Yang, G. Chen, M.S. Dresselhaus, Phys. Rev. Lett. 107, 226601 (2011)

    Article  ADS  Google Scholar 

  5. A.H. Castro Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov, A.K. Geim, Rev. Mod. Phys. 81, 109 (2009)

    Article  ADS  Google Scholar 

  6. A.K. Geim, K.S. Novoselov, Nat. Mater. 6, 183 (2007)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  9. J.G. Checkelsky, N.P. Ong, Phys. Rev. B 80, 081413(R) (2009)

    Article  ADS  Google Scholar 

  10. D. Wang, J. Shi, Phys. Rev. B 83, 113403 (2011)

    Article  ADS  Google Scholar 

  11. S.G. Sharapov, A.A. Varlamov, Phys. Rev. B 86, 035430 (2012)

    Article  ADS  Google Scholar 

  12. C.-R. Wang, W.-S. Lu, L. Hao, W.-L. Lee, T.-K. Lee, F. Lin, I.-C. Cheng, J.-Z. Chen, Phys. Rev. Lett. 107, 186602 (2011)

    Article  ADS  Google Scholar 

  13. B. Lalmi, H. Oughaddou, H. Enriquez, A. Kara, S. Vizzini, B. Ealet, B. Aufray, Appl. Phys. Lett. 97, 223109 (2010)

    Article  ADS  Google Scholar 

  14. B. Feng, Z. Ding, S. Meng, Y. Yao, X. He, P. Cheng, L. Chen, K. Wu, Nano Lett. 12, 3507 (2012)

    Article  ADS  Google Scholar 

  15. L. Chen, C.-C. Liu, B. Feng, X. He, P. Cheng, Z. Ding, S. Meng, Y. Yao, K. Wu, Phys. Rev. Lett. 109, 056804 (2012)

    Article  ADS  Google Scholar 

  16. B. Aufray, A. Kara, S. Vizzini, H. Oughaddou, C. Léandri, B. Ealet, G. Le Lay, Appl. Phys. Lett. 96, 183102 (2010)

    Article  ADS  Google Scholar 

  17. L. Meng, Y. Wang, L. Zhang, S. Du, R. Wu, L. Li, Y. Zhang, G. Li, H. Zhou, W.A. Hofer, H.-J. Gao, Nano Lett. 13, 685 (2013)

    Article  ADS  Google Scholar 

  18. A. Kara, H. Enriquez, A.P. Seitsonen, L.C. Lew, Y. Voon, S. Vizzini, B. Aufray, H. Oughaddou, Surf. Sci. Rep. 67, 1 (2012)

    Article  ADS  Google Scholar 

  19. S. Cahangirov, M. Topsakal, E. Aktürk, H. Şahin, S. Ciraci, Phys. Rev. Lett. 102, 236804 (2009)

    Article  ADS  Google Scholar 

  20. N.D. Drummond, V. Zolyomi, V.I. Falko, Phys. Rev. B 85, 075423 (2012)

    Article  ADS  Google Scholar 

  21. C.-C. Liu, H. Jiang, Y. Yao, Phys. Rev. B 84, 195430 (2011)

    Article  ADS  Google Scholar 

  22. C.-C. Liu, W. Feng, Y. Yao, Phys. Rev. Lett. 107, 076802 (2011)

    Article  ADS  Google Scholar 

  23. M. Ezawa, Phys. Rev. B 87, 155415 (2013)

    Article  ADS  Google Scholar 

  24. C.L. Kane E.J. Mele, Phys. Rev. Lett. 95, 146802 (2005)

    Article  ADS  Google Scholar 

  25. V.P. Gusynin, S.G. Sharapov, A.A. Varlamov, Phys. Rev. B 90, 155107 (2014)

    Article  ADS  Google Scholar 

  26. Y. Xu, X. Zhou, G. Jin, Appl. Phys. Lett. 108, 203104 (2016)

    Article  ADS  Google Scholar 

  27. M. Tahir, A. Manchon, K. Sabeeh, U. Schwingenschlögl, Appl. Phys. Rev. Lett. 102, 162412 (2013)

    Article  ADS  Google Scholar 

  28. Y. Yan, H. Wu, F. Jiang, H. Zhao, Eur. Phys. J. B 86, 457 (2013)

    Article  ADS  Google Scholar 

  29. M. Wierzbicki, J. Barnaś, R. Swirkowicz, Phys. Rev. B 91, 165417 (2015)

    Article  ADS  Google Scholar 

  30. M. Ezawa, New J. Phys. 14, 033003 (2012)

    Article  ADS  Google Scholar 

  31. J.M. Luttinger, Phys. Rev. 135, A1505 (1964)

    Article  ADS  MathSciNet  Google Scholar 

  32. H. Lee, J.H. Han, P.A. Lee, Phys. Rev. B 91, 125413 (2015)

    Article  ADS  Google Scholar 

  33. D. Ceresoli, T. Thonhauser, D. Vanderbilt, R. Resta, Phys. Rev. B 74, 024408 (2006)

    Article  ADS  Google Scholar 

  34. O. Vafek, A. Melikyan, Z. Tešanović, Phys. Rev. B 64, 224508 (2001)

    Article  ADS  Google Scholar 

  35. R. Matsumoto, R. Shindou, S. Murakami, Phys. Rev. B 89, 054420 (2014)

    Article  ADS  Google Scholar 

  36. T. Qin, Q. Niu, J. Shi, Phys. Rev. Lett. 107, 236601 (2011)

    Article  ADS  Google Scholar 

  37. R. Matsumoto, S. Murakami, Phys. Rev. Lett. 106, 197202 (2011)

    Article  ADS  Google Scholar 

  38. R. Matsumoto, S. Murakami, Phys. Rev. B 84, 184406 (2011)

    Article  ADS  Google Scholar 

  39. L. Zhang, New J. Phys. 18, 103039 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  40. T. Ideue, T. Kurumaji, S. Ishiwata, Y. Tokura, Nat. Mater. 16, 797 (2017)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Shaoxing University, Shaoxing, 312000, P.R. China

    Yonghong Yan, Weiguo Ye & Haifei Wu

  2. Key Laboratory for Advanced Microstructure Materials of the Ministry of Education and Department of Physics, Tongji University, Shanghai, 200092, P.R. China

    Hui Zhao

Authors
  1. Yonghong Yan
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  2. Weiguo Ye
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  3. Haifei Wu
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  4. Hui Zhao
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Correspondence to Yonghong Yan.

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Yan, Y., Ye, W., Wu, H. et al. Electronic thermal Hall effect in silicene. Eur. Phys. J. B 90, 195 (2017). https://doi.org/10.1140/epjb/e2017-80394-x

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  • DOI: https://doi.org/10.1140/epjb/e2017-80394-x

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