Article
Spin-orbit Coupling in Ten-Orbital Model for Iron Pnictides
D. A. Ivanov
Siberian Federal University, Svobodny pr., 79, 660041 Krasnoyarsk, Russia
e-mail: danik.aliw@gmail.com
M. M. Korshunov
Siberian Federal University, Svobodny pr., 79, 660041 Krasnoyarsk, Russia
Kirensky Institute of Physics, Federal Research Center, Krasnoyarsk Scientific Center Siberian Branch of the Russian Academy of Sciences, ul. Akademgorodok, 50, str. 38, 660036, Krasnoyarsk, Russia
Abstract
The effect of spin-orbit coupling on the band structure and Fermi surface in a ten-orbital model of iron pnictides is studied. Since there are two iron ions in the unit cell, which are connected through arsenic orbitals, constants responsible for the spin-orbit coupling between and within the ions are introduced in the effective model in order to study how these contributions affect the band structure. We show that the intra- and inter-ion parts of the spin-orbit coupling affect the topology of the Fermi surface by splitting four Fermi contours around the point M = (π, π). At the same time, such a change appears even if there is only an intra-ion spin-orbit coupling; the finite inter-ionic spin-orbit coupling is not required for that.
Keywords: Fe-based superconductors; spin-orbit coupling; band structure; Fermi surface.
References
[1] M.V. Sadovskij, UFN 178, 1243 (2008). DOI: 10.3367/UFNr.0178.200812b.1243
[2] Yu.A. Izyumov, E.Z. Kurmaev, UFN 178, 1307 (2008). DOI: 10.3367/UFNr.0178.200812d.1307
[3] P.J. Hirschfeld, Comptes Rendus Physique 17, 197 (2016). DOI: 10.1016/j.crhy.2016.06.001
[4] R.M. Fernandes, A.I. Coldea, H. Ding, I. R. Fisher, P. J. Hirschfeld, G. Kotlia, Nature 601, 35 (2022). DOI: 10.1038/s41586-021-04073-2
[5] J. Wang, Y. Wu, X. Zhou, Y. Li, B. Teng, P. Dong, J. He, Y. Zhang, Y. Ding, J. Li, Advances in Physics: X 6, 1878931 (2021). DOI: 10.1080/23746149.2021.1878931
[6] P.J. Hirschfeld, M.M. Korshunov, I.I. Mazin, Rep. Prog. Phys. 74, 124508 (2011). DOI: 10.1088/0034-4885/74/12/124508
[7] O.J. Lipscombe, L. W. Harriger, P. G. Freeman, M. Enderle, C. Zhang, M. Wang, T. Egami, J. Hu, T. Xiang et al., Phys. Rev. B 82, 064515 (2010). DOI: 10.1103/PhysRevB.82.064515
[8] M.M. Korshunov, Y.N. Togushova, I. Eremin, P.J. Hirschfeld, J. Supercond. Nov. Magn. 26, 2873 (2013). DOI: 10.1007/s10948-013-2212-6
[9] D.A. Ivanov, Yu.N. Togushova, M.M. Korshunov, J. Sib. Fed. Univ. Math. Phys. 16, 795 (2023). EDN: RSIPYX
[10] D. Daghero, M. Tortello, G.A. Ummarino, R.S. Gonnelli, Rep. Prog. Phys. 74, 124509 (2011). DOI: 10.1088/0034-4885/74/12/124509
[11] T.E. Kuz’michyova, A.V. Muratov, S.A. Kuz’michyov, A.V. Sadakov, Yu.A. Aleshchenko, V.A. Vlasenko, V.P. Martovickij, K.S. Pervakov, Yu.F. El’cev, V.M. Pudalov, UFN 187, 450 (2017). DOI: 10.3367/UFNr.2016.10.038002
[12] T.E. Kuz’micheva, S.A. Kuz’michyov, I.V. Morozov, S. Vurmel’, B. Byuhner, Pis’ma v ZhETF 111, 388 (2020). DOI: 10.31857/S0370274X20060090
[13] T.E. Kuz’micheva, S.A. Kuz’michev, Pis’ma v ZhETF 114, 685 (2021). DOI: 10.31857/S1234567821220110
[14] S.V. Borisenko, V.B. Zabolotnyy, A.A. Kordyuk, D.V. Evtushinsky, T.K. Kim, I.V. Morozov, R. Follath, B. Büchner, Symmetry 4, 251 (2012). DOI: 10.3390/sym4010251
[15] Y.S. Kushnirenko, D. V. Evtushinsky, T. K. Kim, I. Morozov, L. Harnagea, S. Wurmehl, S. Aswartham, B. Büchner, A.V. Chubukov et al., Phys. Rev. B 102, 184502 (2020). DOI: 10.1103/PhysRevB.102.184502
[16] H. Eschrig, K. Koepernik, Phys. Rev. B 80, 104503 (2009). DOI: 10.1103/PhysRevB.80.104503
[17] S. Mukherjee, A. Kreisel, P. J. Hirschfeld, B. M. Andersen, et al., Phys. Rev. Lett. 115, 026402 (2015). DOI: 10.1103/PhysRevLett.115.026402
[18] S. Graser, T.A. Maier, P.J. Hirschfeld, D.J. Scalapino, New J. Phys. 11, 025016 (2009). DOI: 10.1088/1367-2630/11/2/025016
[19] D.A. Ivanov, M.M. Korshunov, Sverhprovodimost’: fundamental’nye i prikladnye issledovaniya 4, 12 (2024). DOI: 10.62539/2949-5644-2024-0-4-12-18
[20] J. Paglione, R.L. Greene, Nature Physics 6, 645 (2010). DOI: 10.1038/nphys1759
[21] M.M. Korshunov, Perturbation Theory: Advances in Research and Applications // Itinerant Spin Fluctuations in Iron-Based Superconductors / Ed. by Z. Pirogov. – New York: Nova Science Publishers, 2018.
[22] M.M. Korshunov, UFN 184, 882 (2014). DOI: 10.3367/UFNr.0184.201408h.0882