Dynamical structure factor of the anisotropic Heisenberg chain in a transverse field

TL;DR

This paper analyzes the dynamical structure factor of the anisotropic Heisenberg spin-1/2 chain in a transverse field, combining exact methods, mean-field approximation, and field theory to provide comprehensive insights relevant to neutron scattering experiments.

Contribution

It introduces a combined approach using exact results, mean-field approximation, and field theory to analyze the dynamical structure factor in the anisotropic Heisenberg chain.

Findings

All components of the dynamical structure factor are determined.

Exact results are obtained in the small anisotropy limit.

Relevance to neutron scattering experiments on ${\rm Cs_2CoCl_4}$ is discussed.

Abstract

We consider the anisotropic Heisenberg spin-1/2 chain in a transverse magnetic field at zero temperature. We first determine all components of the dynamical structure factor by combining exact results with a mean-field approximation recently proposed by Dmitriev {\it et al}., JETP 95, 538 (2002). We then turn to the small anisotropy limit, in which we use field theory methods to obtain exact results. We discuss the relevance of our results to Neutron scattering experiments on the 1D Heisenberg chain compound ${\rm Cs_2CoCl_4}$.