Thermodynamics of the anisotropic Heisenberg chain calculated by the density matrix renormalization group method

TL;DR

This paper applies the DMRG method to study the thermodynamics of the anisotropic Heisenberg chain at finite temperatures, providing accurate calculations of free energy, susceptibility, and specific heat.

Contribution

It demonstrates the effectiveness of the DMRG method combined with the quantum transfer matrix for finite-temperature analysis of quantum spin chains.

Findings

Good agreement with Bethe ansatz results

Accurate susceptibility and specific heat calculations

Logarithmic correction observed at isotropic point

Abstract

The density matrix renormalization group (DMRG) method is applied to the anisotropic Heisenberg chain at finite temperatures. The free energy of the system is obtained using the quantum transfer matrix which is iteratively enlarged in the imaginary time direction. The magnetic susceptibility and the specific heat are calculated down to T=0.01J and compared with the Bethe ansatz results. The agreement including the logarithmic correction in the magnetic susceptibility at the isotropic point is fairly good.