Correlation Renormalized and Induced Spin-Orbit Coupling
Kun Jiang1,2*
1Beijing National Laboratory for Condensed Matter Physics, and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China 2School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China
Abstract：Interplay of spin-orbit coupling (SOC) and electron correlation generates a bunch of emergent quantum phases and transitions, especially topological insulators and topological transitions. We find that electron correlation will induce extra large SOC in multi-orbital systems under atomic SOC and change ground state topological properties. Using the Hartree–Fock mean field theory, phase diagrams of $p_{x}/p_{y}$ orbital ionic Hubbard model on honeycomb lattice are well studied. In general, correction of strength of SOC $\delta \lambda \propto (U'-J)$. Due to breaking down of rotation symmetry, form of SOC on multi-orbital materials is also changed under correlation. If a non-interacting system is close to fermionic instability, spontaneous generalized SOC can also be found. Using renormalization group, SOC is leading instability close to quadratic band-crossing point. Mean fields at quadratic band-crossing point are also studied.
Zhang P, Qian T, Richard P, Wang X P, Miao H, Lv B Q, Fu B B, Wolf T, Meingast C, Wu X X, Wang Z Q, Hu J P, and Ding H 2015 Phys. Rev. B91 214503
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Suzuki Y, Shimojima T, Sonobe T, Nakamura A, Sakano M, Tsuji H, Omachi J, Yoshioka K, Kuwata-Gonokami M, Watashige T, Kobayashi R, Kasahara S, Shibauchi T, Matsuda Y, Yamakawa Y, Kontani H, and Ishizaka K 2015 Phys. Rev. B92 205117
2023, Vol. 40 
