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On the possibility of magnetic Weyl fermions in non-symmorphic compound PtFeSb

Abstract

Weyl fermions are expected to exhibit exotic physical properties such as the chiral anomaly, large negative magnetoresistance or Fermi arcs. Recently a new platform to realize these fermions has been introduced based on the appearance of a three-fold band crossing at high symmetry points of certain space groups. These band crossings are composed of two linearly dispersed bands that are topologically protected by a Chern number, and a flat band with no topological charge. In this paper, we present a new way of inducing two kinds of Weyl fermions, based on two- and three-fold band crossings, in the non-symmorphic magnetic material PtFeSb. By means of density functional theory calculations and group theory analysis, we show that magnetic order can split a six-fold degeneracy enforced by non-symmoprhic symmetry to create three- or two-fold degenerate Weyl nodes. We also report on the synthesis of a related phase potentially containing two-fold degenerate magnetic Weyl points and extend our group theory analysis to that phase. This is the first study showing that magnetic ordering has the potential to generate new three-fold degenerate Weyl nodes, advancing the understanding of magnetic interactions in topological materials.

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References

  1. X. Wan, A.M. Turner, A. Vishwanath, S.Y. Savrasov, Phys. Rev. B 83, 205101 (2011)

    ADS  Google Scholar 

  2. H. Weng, C. Fang, Z. Fang, B.A. Bernevig, X. Dai, Phys. Rev. X 5, 011029 (2015)

    Google Scholar 

  3. S.-M. Huang, S.-Y. Xu, I. Belopolski, C.-C. Lee, G. Chang, B. Wang, N. Alidoust, G. Bian, M. Neupane, C. Zhang, S. Jia, A. Bansil, H. Lin, M.Z. Hasan, Nat. Commun. 6, 7373 (2015)

    ADS  Google Scholar 

  4. B.Q. Lv, H.M. Weng, B.B. Fu, X.P. Wang, H. Miao, J. Ma, P. Richard, X.C. Huang, L.X. Zhao, G.F. Chen, Z. Fang, X. Dai, T. Qian, H. Ding, Phys. Rev. X 5, 031013 (2015)

    Google Scholar 

  5. S.-Y. Xu, I. Belopolski, N. Alidoust, M. Neupane, G. Bian, C. Zhang, R. Sankar, G. Chang, Z. Yuan, C.-C. Lee, S.-M. Huang, H. Zheng, J. Ma, D.S. Sanchez, B. Wang, A. Bansil, F. Chou, P.P. Shibayev, H. Lin, S. Jia, M.Z. Hasan, Science 349, 613 (2015)

    ADS  Article  Google Scholar 

  6. H. Nielsen, M. Ninomiya, Phys. Lett. B 130, 389 (1983)

    ADS  MathSciNet  Google Scholar 

  7. J. Xiong, S.K. Kushwaha, T. Liang, J.W. Krizan, M. Hirschberger, W. Wang, R.J. Cava, N.P. Ong, Science 350, 413 (2015)

    ADS  MathSciNet  Google Scholar 

  8. X. Huang, L. Zhao, Y. Long, P. Wang, D. Chen, Z. Yang, H. Liang, M. Xue, H. Weng, Z. Fang, X. Dai, G. Chen, Phys. Rev. X 5, 031023 (2015)

    Google Scholar 

  9. J. Liu, D. Vanderbilt, Phys. Rev. B 90, 155316 (2014)

    ADS  Google Scholar 

  10. M. Hirayama, R. Okugawa, S. Ishibashi, S. Murakami, T. Miyake, Phys. Rev. Lett. 114, 206401 (2015)

    ADS  Google Scholar 

  11. T.c.v. Bzduš, A. Rüegg, M. Sigrist, Phys. Rev. B 91, 165105 (2015)

    ADS  Google Scholar 

  12. A. Cortijo, D. Kharzeev, K. Landsteiner, M.A.H. Vozmediano, Phys. Rev. B 94, 241405 (2016)

    ADS  Google Scholar 

  13. A.A. Soluyanov, D. Gresch, Z. Wang, Q. Wu, M. Troyer, X. Dai, B.A. Bernevig, Nature 527, 495 (2015)

    ADS  Google Scholar 

  14. G. Bian, T.-R. Chang, R. Sankar, S.-Y. Xu, H. Zheng, T. Neupert, C.-K. Chiu, S.-M. Huang, G. Chang, I. Belopolski, D.S. Sanchez, M. Neupane, N. Alidoust, C. Liu, B. Wang, C.-C. Lee, H.-T. Jeng, C. Zhang, Z. Yuan, S. Jia, A. Bansil, F. Chou, H. Lin, M.Z. Hasan, Nat. Commun. 7, 10556 (2016)

    ADS  Google Scholar 

  15. S. Singh, A.C. Garcia-Castro, I. Valencia-Jaime, F. Muñoz, A.H. Romero, Phys. Rev. B 94, 161116 (2016)

    ADS  Google Scholar 

  16. J. Sánchez-Barriga, M.G. Vergniory, D. Evtushinsky, I. Aguilera, A. Varykhalov, S. Blügel, O. Rader, Phys. Rev. B 94, 161401 (2016)

    ADS  Google Scholar 

  17. B. Bradlyn, L. Elcoro, J. Cano, M.G. Vergniory, Z. Wang, C. Felser, M.I. Aroyo, B.A. Bernevig, Nature 547, 298 (2017)

    ADS  Google Scholar 

  18. L.M. Schoop, F. Pielnhofer, B.V. Lotsch, Chem. Mater. 30, 3155 (2018)

    Google Scholar 

  19. G. Xu, H. Weng, Z. Wang, X. Dai, Z. Fang, Phys. Rev. Lett. 107, 186806 (2011)

    ADS  Google Scholar 

  20. A.A. Burkov, L. Balents, Phys. Rev. Lett. 107, 127205 (2011)

    ADS  Google Scholar 

  21. D. Bulmash, C.-X. Liu, X.-L. Qi, Phys. Rev. B 89, 081106 (2014)

    ADS  Google Scholar 

  22. M. Hirschberger, S. Kushwaha, Z. Wang, Q. Gibson, S. Liang, C.A. Belvina, B. Bernevig, R. Cava, N. Ong, Nat. Mater. 15, 1161 (2016)

    ADS  Google Scholar 

  23. Z. Wang, M.G. Vergniory, S. Kushwaha, M. Hirschberger, E.V. Chulkov, A. Ernst, N.P. Ong, R.J. Cava, B.A. Bernevig, Phys. Rev. Lett. 117, 236401 (2016)

    ADS  Google Scholar 

  24. Q. Xu, E. Liu, W. Shi, L. Muechler, C. Felser, Y. Sun, https://doi.org/arXiv:1801.00136 (2018)

  25. J.L. Mañes, Phys. Rev. B 85, 155118 (2012)

    ADS  Google Scholar 

  26. B.J. Wieder, Y. Kim, A.M. Rappe, C.L. Kane, Phys. Rev. Lett. 116, 186402 (2016)

    ADS  Google Scholar 

  27. B. Bradlyn, J. Cano, Z. Wang, M.G. Vergniory, C. Felser, R.J. Cava, B.A. Bernevig, Science 353, aaf5037 (2016)

    Google Scholar 

  28. A. Topp, J.M. Lippmann, A. Varykhalov, V. Duppel, B.V. Lotsch, C.R. Ast, L.M. Schoop, New J. Phys. 18, 125014 (2016)

    ADS  Google Scholar 

  29. M. Hellenbrandt, Crystallogr. Rev. 10, 17 (2014)

    Google Scholar 

  30. S. Zhong, J.E. Moore, I. Souza, Phys. Rev. Lett. 116, 077201 (2016)

    ADS  Google Scholar 

  31. F. de Juan, A.G. Grushin, T. Morimoto, J.E. Moore, Nat. Commun. 8, 15995 (2017)

    ADS  Google Scholar 

  32. G. Chang, S.-Y. Xu, B.J. Wieder, D.S. Sanchez, S.-M. Huang, I. Belopolski, T.-R. Chang, S. Zhang, A. Bansil, H. Lin, M.Z. Hasan, Phys. Rev. Lett. 119, 206401 (2017)

    ADS  Google Scholar 

  33. A. Cortijo, Phys. Rev. B 94, 241105 (2016)

    ADS  Google Scholar 

  34. L.M. Schoop, A. Topp, J. Lippmann, F. Orlandi, L. Müchler, M.G. Vergniory, Y. Sun, A.W. Rost, V. Duppel, M. Krivenkov, S. Sheoran, P. Manuel, A. Varykhalov, B. Yan, R.K. Kremer, C.R. Ast, B.V. Lotsch, Sci. Adv. 4, eaar2317 (2018)

    ADS  Google Scholar 

  35. A. Topp, M. G. Vergniory, M. Krivenkov, A. Varykhalov, F. Rodolakis, J.L. McChesney, B.V. Lotsch, C.R. Ast, L.M. Schoop, J. Phys. Chem. Solids (2017) DOI:https://doi.org/10.1016/j.jpcs.2017.12.035

    ADS  Google Scholar 

  36. B. Bradlyn, M.G. Vergniory, J. Cano, in preparation

  37. K.H.J. Buschow, J.H.N. van Vucht, P.G. van Engen, D.B. de Mooij, A.M. van der Kraan, Physica Status Solidi (a) 75, 617 (1983)

    ADS  Google Scholar 

  38. P. Hohenberg, W. Kohn, Phys. Rev. 136, B864 (1964)

    ADS  Google Scholar 

  39. W. Kohn, L.J. Sham, Phys. Rev. 140, A1133 (1965)

    ADS  Google Scholar 

  40. G. Kresse, J. Furthmueller, Comput. Mater. Sci. 6, 15 (1996)

    Google Scholar 

  41. G. Kresse, J. Hafner, Phys. Rev. B 48, 13115 (1993)

    ADS  Google Scholar 

  42. G. Kresse, D. Joubert, Phys. Rev. B 59, 1758 (1999)

    ADS  Google Scholar 

  43. J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996)

    ADS  Google Scholar 

  44. D. Hobbs, G. Kresse, J. Hafner, Phys. Rev. B 62, 11556 (2000)

    ADS  Google Scholar 

  45. L. Elcoro, B. Bradlyn, Z. Wang, M.G. Vergniory, J. Cano, C. Felser, B.A. Bernevig, D. Orobengoa, G. de la Flor, M.I. Aroyo, J. Appl. Crystallogr. 50, 1457 (2017)

    Google Scholar 

  46. M.G. Vergniory, L. Elcoro, Z. Wang, J. Cano, C. Felser, M.I. Aroyo, B.A. Bernevig, B. Bradlyn, Phys. Rev. E 96, 023310 (2017)

    ADS  Google Scholar 

  47. M.I. Aroyo, J.M. Perez-Mato, D. Orobengoa, E. Tasci, G. de la Flor, A. Kirov, Bulg. Chem. Commun. 43, 183 (2011)

    Google Scholar 

  48. M.I. Aroyo, J.M. Perez-Mato, C. Capillas, E. Kroumova, S. Ivantchev, G. Madariaga, A. Kirov, H. Wondratschek, Z. Krist. 221, 15 (2006)

  49. M.I. Aroyo, A. Kirov, C. Capillas, J.M. Perez-Mato, H. Wondratschek, Acta Cryst. A62, 115 (2006)

    Google Scholar 

  50. H.T. Stokes, D.M. Hatch, B.J. Campbell, D.E. Tanner, J. Appl. Crystallogr. 39, 607 (2006)

    Google Scholar 

  51. J.M. Perez-Mato, S.V. Gallego, L. Elcoro, E. Tasci, M.I. Aroyo, J. Phys.: Condens. Matter 28, 286001 (2016)

    Google Scholar 

  52. J. Perez-Mato, S. Gallego, E. Tasci, L. Elcoro, G. de la Flor, M. Aroyo, Ann. Rev. Mater. Res. 45, 217 (2015)

    ADS  Google Scholar 

  53. K. Buschow, J. van Vucht, P. van Engen, B. de Mooij, A. van der Kraan, Phys. Status Solidi A 75, 617 (1983)

    ADS  Google Scholar 

  54. V.N. Antonov, P.M. Oppeneer, A.N. Yaresko, A.Y. Perlov, T. Kraft, Phys. Rev. B 56, 13012 (1997)

    ADS  Google Scholar 

  55. Y. Kim, B. J. Wieder, C.L. Kane, A.M. Rappe, Phys. Rev. Lett. 115, 036806 (2015)

    ADS  Google Scholar 

  56. P. Tang, Q. Zhou, S.-C. Zhang, Phys. Rev. Lett. 119, 206402 (2017)

    ADS  Google Scholar 

  57. T. Eriksson, R. Lizárraga, S. Felton, L. Bergqvist, Y. Andersson, P. Nordblad, O. Eriksson, Phys. Rev. B 69, 054422 (2004)

    ADS  Google Scholar 

  58. S.C. Miller, W.F. Love,Tables of Irreducible Representations of Space Groups and Co-Representations of Magnetic Space Groups (Pruett Press, Boulder, Colorado, 1967)

  59. S. Furuseth, K. Selte, A. Kjekshus, Acta Chem. Scand. 19, 735 (1965)

    Google Scholar 

  60. N. Spaldin,Magnetic Materials, Fundamentals and Applications (Cambridge University Press, Cambridge, 2010)

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Correspondence to Maia G. Vergniory.

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Contribution to the Topical Issue “Special issue in honor of Hardy Gross”, edited by C.A. Ullrich, F.M.S. Nogueira, A. Rubio, and M.A.L. Marques.

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Vergniory, M.G., Elcoro, L., Orlandi, F. et al. On the possibility of magnetic Weyl fermions in non-symmorphic compound PtFeSb. Eur. Phys. J. B 91, 213 (2018). https://doi.org/10.1140/epjb/e2018-90302-7

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  • DOI: https://doi.org/10.1140/epjb/e2018-90302-7