Impact of the Dzyaloshinskii-Moriya interaction in strongly correlated itinerant systems

Abstract

Spin-only approaches to anisotropic effects in strongly interacting materials are often insufficient for systems close to the Mott regime. Within a model context, here the consequences of the low-symmetry relevant Dzyaloshinskii-Moriya (DM) interaction are studied for strongly correlated, but overall itinerant, systems. Namely, we investigate the Hubbard bilayer model supplemented by a DM term at half filling and in the hole-doped regime. As an add-on, further results for the two-impurity Anderson model with DM interaction are also provided. The model Hamiltonians are treated by means of the rotational invariant slave boson technique at the saddle point within a (cellular) cluster approach. Already small values of the anisotropic interaction prove to have a strong influence on the phases and correlation functions with increasing U . An intriguing metallic spin-flop phase is found in the doped bilayer model, and a reduction of the Ruderman-Kittel-Kasuya-Yosida exchange is found in the two-impurity model.

Multiorbital Processes Rule the Nd1−xSrxNiO2Lechermann1 2020Phys. Rev. XSelf Cite10510880View full textAdd to dashboardCite

“…Since NdNiO 2 for the present minimal threeorbital Hamiltonian is located at total half-filling n ¼ 3, the most canonical choice is provided by μ SD ¼ U=2 (e.g., Ref. [57]). For a concrete representation of the Hamiltonian form described, maximally localized Wannier functions are derived from the LDA electronic structure.…”

Rigorous symmetry adaptation of multiorbital rotationally invariant slave-boson theory with application to Hund's rules physics

“…The RISB framework handles these issues properly and it has been successfully utilized to study various correlated condensed matter problems, both on the arXiv:1708.03191v4 [cond-mat.str-el] 30 Mar 2018 model level and using realistic dispersions in the context of concrete materials. Namely, applications to multi-orbital Mott transitions 17,21 , quasi-twodimensional lattices [22][23][24][25] , spin-orbit and related anisotropic interactions [26][27][28] , 3-orbital Hund's physics 21,29 , multi-orbital superconductivity 18 , and real-space defect problems 30 were performed. In addition, inspired by a Gutzwiller-based scheme 31 , a time-dependent extension to address nonequilibrium electronic correlations has also been put forward 29,32,33 .…”

Low-energy model and electron-hole doping asymmetry of single-layer Ruddlesden-Popper iridates

“…30 Self-energies with a term linear in frequency and a static part result in mean-field. The RISB approach is especially suited to model anisotropic interactions, 31 and here allows to treat the interacting spin-orbit problem in complete generality, i.e. without abandoning off-diagonal terms.…”