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

TL;DR

This study explores how the Dzyaloshinskii-Moriya interaction influences phases and correlations in strongly correlated, itinerant systems using Hubbard and Anderson models, revealing significant effects even at small anisotropic interactions.

Contribution

It introduces a detailed analysis of the DM interaction's impact on strongly correlated itinerant systems using advanced modeling techniques.

Findings

Small DM interactions significantly affect phase behavior.

Discovery of a metallic spin-flop phase in doped bilayer systems.

Reduction of RKKY exchange in two-impurity models.

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 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 RKKY exchange in the two-impurity model.