Interplay of Coulomb interaction and spin-orbit coupling
Abstract
We employ the Gutzwiller variational approach to investigate the interplay of Coulomb interaction and spin-orbit coupling in a three-orbital Hubbard model. Already in the paramagnetic phase we find a substantial renormalization of the spin-orbit coupling that enters the effective single-particle Hamiltonian for the quasi-particles. Only close to half band-filling and for sizable Coulomb interaction we observe clear signatures of Hund's atomic rules for spin, orbital, and total angular momentum. For a finite local Hund's-rule exchange interaction we find a ferromagnetically ordered state. The spin-orbit coupling considerably reduces the size of the ordered moment, it generates a small ordered orbital moment, and it induces a magnetic anisotropy. To investigate the magnetic anisotropy energy, we use an external magnetic field that tilts the magnetic moment away from the easy axis .
Cite
@article{arxiv.1603.07544,
title = {Interplay of Coulomb interaction and spin-orbit coupling},
author = {Jörg Bünemann and Thorben Linneweber and Ute Löw and Frithjof B. Anders and Florian Gebhard},
journal= {arXiv preprint arXiv:1603.07544},
year = {2016}
}
Comments
16 pages, 14 figures