Integral representation of the density matrix of the XXZ chain at finite temperatures
Frank G\"ohmann, Andreas Kl\"umper, Alexander Seel
TL;DR
This paper derives an integral formula for the density matrix of a finite segment of the infinite spin-1/2 XXZ chain applicable at any temperature and magnetic field, facilitating analysis of its thermal properties.
Contribution
It introduces a novel integral representation of the density matrix for the XXZ chain at finite temperature and magnetic field, extending previous zero-temperature results.
Findings
Provides a general integral formula valid for all temperatures and fields
Enables detailed analysis of thermal correlations in the XXZ chain
Facilitates future analytical and numerical studies of the model
Abstract
We present an integral formula for the density matrix of a finite segment of the infinitely long spin-1/2 XXZ chain. This formula is valid for any temperature and any longitudinal magnetic field.
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