Correlation effects on magnetic frustration in the triangular-lattice Hubbard model

TL;DR

This study investigates how electron interactions influence magnetic frustration in the triangular-lattice Hubbard model, revealing a transition in magnetic response that aligns with expected antiferromagnetic instabilities, and explores doping effects.

Contribution

It introduces a systematic inverse-degeneracy expansion scheme that preserves spin-rotation symmetry to analyze magnetic responses in the Hubbard model.

Findings

Response function becomes nearly dispersionless around K at intermediate coupling.

Inversion of response function occurs at strong coupling, favoring 120° AF order.

Doping modifies the magnetic response, affecting magnetic frustration.

Abstract

Evolution of the magnetic response function in the triangular-lattice Hubbard model is studied with interaction strength within a systematic inverse-degeneracy expansion scheme which incorporates self-energy and vertex corrections and explicitly preserves the spin-rotation symmetry. It is shown that at half filling the response function goes through a nearly dispersionless regime around K for intermediate coupling strength, before undergoing an inversion at strong coupling, resulting in maximum response at the K point, consistent with the expected 120^o AF instability. Effects of finite hole/electron doping on the magnetic response function are also examined.