Dynamical Correlations of the Spin-1/2 Heisenberg XXZ Chain in a Staggered Field

TL;DR

This paper analyzes the dynamical correlations in the spin-1/2 Heisenberg XXZ chain under combined magnetic fields, deriving explicit formulas for structure factors using integrable quantum field theory, with applications to quantum magnet experiments.

Contribution

It provides explicit expressions for dynamical structure factors of the model using integrable quantum field theory methods, advancing understanding of quantum magnet dynamics.

Findings

Explicit formulas for matrix elements of spin operators

Application to experimental quantum magnet data

Analysis of low-energy behavior via sine-Gordon theory

Abstract

We consider the easy-plane anisotropic spin-1/2 Heisenberg chain in combined uniform longitudinal and transverse staggered magnetic fields. The low-energy limit of his model is described by the sine-Gordon quantum field theory. Using methods of integrable quantum field theory we determine the various components of the dynamical structure factor. To do so, we derive explicit expressions for all matrix elements of the low-energy projections of the spin operators involving at most two particles. We discuss applications of our results to experiments on one-dimensional quantum magnets.