Combined analytical and numerical approach to magnetization plateaux in one-dimensional spin tube antiferromagnets

TL;DR

This study combines analytical and numerical methods to analyze magnetization plateaux in frustrated three-leg spin tube antiferromagnets, revealing the presence of plateaux and gapless excitations related to chirality.

Contribution

It introduces a combined analytical and numerical approach to identify magnetization plateaux and chirality excitations in spin tube antiferromagnets.

Findings

Identification of magnetization plateaux in spin tubes.

Discovery of gapless chirality excitations on some plateaux.

Validation of analytical predictions with DMRG simulations.

Abstract

In this paper, we investigate the properties of frustrated three-leg spin tubes under a magnetic field. We concentrate on two kind of geometries for these tubes, one of which is relevant for the compound $\mathrm{[(CuCl_2tachH)_3Cl]Cl_2}$. We combine an analytical path integral approach with a strong coupling approach, as well as large-scale Density Matrix Renormalization Groups (DMRG) simulations, to identify the presence of plateaux in the magnetization curve as a function of the value of spin $S$. We also investigate the issue of gapless non-magnetic excitations on some plateaux, dubbed chirality degrees of freedom for both tubes.