Analysis of the magnetic response of the edge-sharing chain cuprate Li$_2$CuO$_2$ within TMRG

TL;DR

This paper investigates the magnetic properties of the edge-sharing chain cuprate Li$_2$CuO$_2$ using the anisotropic 1D extended Heisenberg model and TMRG, highlighting the importance of anisotropy in understanding its low-energy physics.

Contribution

It introduces a comparison of the spin susceptibility of the anisotropic 1D extended Heisenberg model with experimental data for Li$_2$CuO$_2$ using TMRG, extending previous isotropic studies.

Findings

Anisotropy significantly affects the spin susceptibility.

The model better fits experimental data when anisotropy is included.

Highlights the importance of anisotropic interactions in edge-sharing cuprates.

Abstract

It is widely accepted that the low-energy physics in edge-sharing cuprate materials has one-dimensional (1D) character. The relevant model to study such systems is believed to be the 1D extended Heisenberg model with ferromagnetic nearest-neighbor (NN) interaction and antiferromagnetic next-nearest-neighbor one. Thus far, however, theoretical studies of such materials have been confined to the case of isotropic interactions. In the present work, we compare the spin susceptibility of the 1D extended Heisenberg model with anisotropy in the NN channel, obtained by means of the Transfer Matrix Renormalization Group method, with that of the edge-sharing chain cuprate Li$_2$CuO$_2$.