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Topological phase in 1D topological Kondo insulator: Z2 topological insulator, Haldane-like phase and Kondo breakdown

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Abstract

We have simulated a half-filled 1D p-wave periodic Anderson model with numerically exact projector quantum Monte Carlo technique, and the system is indeed located in the Haldane-like state as detected in previous works on the p-wave Kondo lattice model, though the soluble non-interacting limit corresponds to the conventional Z 2 topological insulator. The site-resolved magnetization in an open boundary system and strange correlator for the periodic boundary have been used to identify the mentioned topological states. Interestingly, the edge magnetization in the Haldane-like state is not saturated to unit magnetic moment due to the intrinsic charge fluctuation in our periodic Anderson-like model, which is beyond the description of the Kondo lattice-like model in existing literature. The finding here underlies the correlation driven topological state in this prototypical interacting topological state of matter and naive use of non-interacting picture should be taken care. Moreover, no trace of the surface Kondo breakdown at zero temperature is observed and it is suspected that frustration-like interaction may be crucial in inducing such radical destruction of Kondo screening. The findings here may be relevant to our understanding of interacting topological materials like topological Kondo insulator candidate SmB6.

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References

  1. M.Z. Hasan, C.L. Kane, Rev. Mod. Phys. 82, 3045 (2010)

    Article  ADS  Google Scholar 

  2. X.-L. Qi, S.-C. Zhang, Rev. Mod. Phys. 83, 1057 (2011)

    Article  ADS  Google Scholar 

  3. M. Hohenadler, F.F. Assaad, J. Phys.: Condens. Matter 25, 143201 (2013)

    ADS  Google Scholar 

  4. A. Bansil, H. Lin, T. Das, Rev. Mod. Phys. 88, 021004 (2016)

    Article  ADS  Google Scholar 

  5. E. Witten, Rev. Mod. Phys. 88, 035001 (2016)

    Article  ADS  Google Scholar 

  6. C.-K. Chiu, J.C.Y. Teo, A.P. Schnyder, S. Ryu, Rev. Mod. Phys. 88, 035005 (2016)

    Article  ADS  Google Scholar 

  7. T. Senthil, Annu. Rev. Condens. Matter Phys. 6, 299 (2015)

    Article  ADS  Google Scholar 

  8. C.-X. Liu, S.-C. Zhang, X.-L. Qi, Annu. Rev. Condens. Matter Phys. 7, 301 (2016)

    Article  ADS  Google Scholar 

  9. M. Dzero, J. Xia, V. Galitski, P. Coleman, Annu. Rev. Condens. Matter Phys. 7, 249 (2016)

    Article  ADS  Google Scholar 

  10. M. Dzero, K. Sun, V. Galitski, P. Coleman, Phys. Rev. Lett. 104, 106408 (2010)

    Article  ADS  Google Scholar 

  11. J. Jiang, S. Li, T. Zhang, Z. Sun, F. Chen, Z.R. Ye, M. Xu, Q.Q. Ge, S.Y. Tan, X.H. Niu, M. Xia, B.P. Xie, Y.F. Li, X.H. Chen, H.H. Wen, D.L. Feng, Nat. Commun. 4, 3010 (2013)

    ADS  Google Scholar 

  12. M. Neupane, N. Alidoust, S.-Y. Xu, T. Kondo, Y. Ishida, D.J. Kim, C. Liu, I. Belopolski, Y.J. Jo, T.-R. Chang, H.-T. Jeng, T. Durakiewicz, L. Balicas, H. Lin, A. Bansil, S. Shin, Z. Fisk, M.Z. Hasan, Nat. Commun. 4, 2991 (2013)

    Article  Google Scholar 

  13. N. Xu, X. Shi, P.K. Biswas, C.E. Matt, R.S. Dhaka, Y. Huang, N.C. Plumb, M. Radovi, J.H. Dil, E. Pomjakushina, K. Conder, A. Amato, Z. Salman, D. McK. Paul, J. Mesot, H. Ding, M. Shi, Phys. Rev. B 88, 121102 (2013)

    Article  ADS  Google Scholar 

  14. E. Frantzeskakis, N. de Jong, B. Zwartsenberg, Y.K. Huang, Y. Pan, X. Zhang, J.X. Zhang, F.X. Zhang, L.H. Bao, O. Tegus, A. Varykhalov, A. de Visser, M.S. Golden, Phys. Rev. X 3, 041024 (2013)

    Google Scholar 

  15. N. Xu, P.K. Biswas, J.H. Dil, R.S. Dhaka, G. Landolt, S. Muff, C.E. Matt, X. Shi, N.C. Plumb, M. Radovi, E. Pomjakushina, K. Conder, A. Amato, S.V. Borisenko, R. Yu, H.-M. Weng, Z. Fang, X. Dai, J. Mesot, H. Ding, M. Shi, Nat. Commun. 5, 4566 (2014)

    ADS  Google Scholar 

  16. G. Li, Z. Xiang, F. Yu, T. Asaba, B. Lawson, P. Cai, C. Tinsman, A. Berkley, S. Wolgast, Y.S. Eo, D.-J. Kim, C. Kurdak, J.W. Allen, K. Sun, X.H. Chen, Y.Y. Wang, Z. Fisk, L. Li, Science 346, 1208 (2014)

    Article  ADS  Google Scholar 

  17. B.S. Tan, Y.-T. Hsu, B. Zeng, M.C. Hatnean, N. Harrison, Z. Zhu, M. Hartstein, M. Kiourlappou, A. Srivastava, M.D. Johannes, T.P. Murphy, J.-H. Park, L. Balicas, G.G. Lonzarich, G. Balakrishnan, S.E. Sebastian, Science 349, 287 (2015)

    Article  ADS  Google Scholar 

  18. V. Alexandrov, P. Coleman, O. Erten, Phys. Rev. Lett. 114, 177202 (2015)

    Article  ADS  Google Scholar 

  19. A. Thomson, S. Sachdev, Phys. Rev. B 93, 125103 (2016)

    Article  ADS  Google Scholar 

  20. O. Erten, P. Ghaemi, P. Coleman, Phys. Rev. Lett. 116, 046403 (2016)

    Article  ADS  Google Scholar 

  21. G. Baskaran, Majorana Fermi Sea in Insulating SmB6: A Proposal and a Theory of Quantum Oscillations in Kondo Insulators, arXiv:1507.03477

  22. V. Alexandrov, P. Coleman, Phys. Rev. B 90, 115147 (2014)

    Article  ADS  Google Scholar 

  23. A. M. Lobos, A.O. Dobry, V. Galitski, Phys. Rev. X 5, 021017 (2015)

    Google Scholar 

  24. A. Mezio, A.M. Lobos, A.O. Dobry, C.J. Gazza, Phys. Rev. B 92, 205128 (2015)

    Article  ADS  Google Scholar 

  25. I. Hagymasi, O. Legeza, Phys. Rev. B 93, 165104 (2016)

    Article  ADS  Google Scholar 

  26. V. Alexandrov, M. Dzero, P. Coleman, Phys. Rev. Lett. 111, 226403 (2013)

    Article  ADS  Google Scholar 

  27. J.N. Chazalviel, M. Campagna, G.K. Wertheim, P.H. Schmidt, Phys. Rev. B 14, 4586 (1976)

    Article  ADS  Google Scholar 

  28. P. Coleman, Introduction to Many Body Physics (Cambridge University Press, 2015), Chaps. 15–18

  29. F. Assaad, H. Evertz, in Computational Many-Particle Physics, edited by H. Fehske, R. Schneider, A. Weiße, (Springer, Berlin, 2008), Lecture Notes in Physics, Vol. 739, pp. 277–356

  30. M. Legner, A. Ruegg, M. Sigrist, Phys. Rev. B 89, 085110 (2014)

    Article  ADS  Google Scholar 

  31. L. Fu, C.L. Kane, Phys. Rev. B 76, 045302 (2007)

    Article  ADS  Google Scholar 

  32. Y.-Z. You, Z. Bi, A. Rasmussen, K. Slagle, C. Xu, Phys. Rev. Lett. 112, 247202 (2014)

    Article  ADS  Google Scholar 

  33. K. Wierschem, P. Sengupta, Phys. Rev. B 90, 115157 (2014)

    Article  ADS  Google Scholar 

  34. H.-Q. Wu, Y.-Y. He, Y.-Z. You, C. Xu, Z.Y. Meng, Z.-Y. Lu, Phys. Rev. B 92, 165123 (2015)

    Article  ADS  Google Scholar 

  35. Y.-Y. He, H.-Q. Wu, Y.-Z. You, C. Xu, Z.Y. Meng, Z.-Y. Lu, Phys. Rev. B 93, 115150 (2016)

    Article  ADS  Google Scholar 

  36. H.L. Nourse, I.P. McCulloch, C. Janani, B.J. Powell, Phys. Rev. B 94, 214418 (2016)

    Article  ADS  Google Scholar 

  37. D. Wang, S.-L. Xu, Y. Wang, C.-J. Wu, Phys. Rev. B 91, 115118 (2015)

    Article  ADS  Google Scholar 

  38. E. Tang, X.-G. Wen, Phys. Rev. Lett. 109, 096403 (2012)

    Article  ADS  Google Scholar 

  39. T. Paiva, G. Esirgen, R.T. Scalettar, C. Huscroft, A.K. McMahan, Phys. Rev. B 68, 195111 (2003)

    Article  ADS  Google Scholar 

  40. S. Doniach, Physica B+C 91, 231 (1977)

    Article  ADS  Google Scholar 

  41. Y. Zhong, K. Liu, Y.-F. Wang, Y.-Q. Wang, H.-G. Luo, Eur. Phys. J. B 86, 195 (2013)

    Article  ADS  Google Scholar 

  42. Y. Zhong, Y.-F. Wang, H.-T. Lu, H.-G. Luo, Physica B 446, 22 (2014)

    Article  ADS  Google Scholar 

  43. M. Nakagawa, N. Kawakami, Phys. Rev. Lett. 115, 165303 (2015)

    Article  ADS  Google Scholar 

  44. Y. Zhong, Y. Liu, H.-G. Luo, Front. Phys. 12, 127502 (2017)

    Article  Google Scholar 

  45. R. Blankenbecler, D.J. Scalapino, R.L. Sugar, Phys. Rev. D 24, 2278 (1981)

    Article  ADS  Google Scholar 

  46. J.E. Hirsch, Phys. Rev. B 31, 4403 (1985)

    Article  ADS  Google Scholar 

  47. R.R. dos Santo, Brazilian J. Phys. 33, 1 (2003)

    Google Scholar 

Download references

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Correspondence to Yin Zhong.

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Zhong, Y., Liu, Y. & Luo, HG. Topological phase in 1D topological Kondo insulator: Z2 topological insulator, Haldane-like phase and Kondo breakdown. Eur. Phys. J. B 90, 147 (2017). https://doi.org/10.1140/epjb/e2017-80102-0

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