Abstract
We investigate the influence of spin-orbit coupling in strongly-correlated multiorbital systems that we describe by a three-orbital Hubbard-Kanamori model on a Bethe lattice. We solve the problem at all integer fillings with the dynamical mean-field theory using the continuous-time hybridization expansion Monte Carlo solver. We investigate how the quasiparticle renormalization varies with the strength of spin-orbit coupling. The behavior can be understood for all fillings except in terms of the atomic Hamiltonian (the atomic charge gap) and the polarization in the basis due to spin-orbit induced changes of orbital degeneracies and the associated kinetic energy. At increases at small but suppresses it at large , thus eliminating the characteristic Hund's metal tail in . We also compare the effects of the spin-orbit coupling to the effects of a tetragonal crystal field. Although this crystal field also lifts the orbital degeneracy, its effects are different, which can be understood in terms of the different form of the interaction Hamiltonian expressed in the respective diagonal single-particle basis.
5 More- Received 17 July 2018
- Revised 19 October 2018
DOI:https://doi.org/10.1103/PhysRevB.98.205128
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