COMPLETE SOLUTION OF THE XXZ-MODEL ON FINITE RINGS. DYNAMICAL STRUCTURE FACTORS AT ZERO TEMPERATURE.

TL;DR

This paper provides an exact solution for the finite-size effects on the dynamical structure factors of the XXZ-model at zero temperature, revealing critical momentum behavior and infrared singularities.

Contribution

It offers a complete solution for the XXZ-model on finite rings, analyzing dynamical structure factors and their finite size effects at zero temperature.

Findings

Finite size effects are small away from critical momentum.

Large finite size effects occur at critical momentum p=π.

Infrared singularities emerge in the spectral representation at p=π.

Abstract

The finite size effects of the dynamical structure factors in the XXZ-model are studied in the euclidean time $(\tau)$-representation. Away from the critical momentum $p=\pi$ finite size effects turn out to be small except for the large $\tau$ limit. The large finite size effects at the critical momentum $p=\pi$ signal the emergence of infrared singularities in the spectral $(\omega)$-representation of the dynamical structure factors.