Transverse spectral functions and Dzyaloshinskii-Moriya interactions in XXZ spin chains

TL;DR

This paper extends field theory methods to analyze the transverse spectral functions of XXZ spin chains with Dzyaloshinskii-Moriya interactions, enabling experimental tests of edge singularity theories in one-dimensional quantum systems.

Contribution

It develops an extension of X-ray edge methods to the transverse spectral function of XXZ spin chains with Dzyaloshinskii-Moriya interactions in a magnetic field.

Findings

Provides a theoretical framework for analyzing transverse spectral functions.

Shows how Dzyaloshinskii-Moriya interactions can be gauged away to shift momentum.

Enables potential experimental verification of edge singularity theories.

Abstract

Recently much progress has been made in applying field theory methods, first developed to study X-ray edge singularities, to interacting one dimensional systems in order to include band curvature effects and study edge singularities at arbitrary momentum. Finding experimental confirmations of this theory remains an open challenge. Here we point out that spin chains with uniform Dzyaloshinskii-Moriya (DM) interactions provide an opportunity to test these theories since these interactions may be exactly eliminated by a gauge transformation which shifts the momentum. However, this requires an extension of these X-ray edge methods to the transverse spectral function of the xxz spin chain in a magnetic field, which we provide.