Thermodynamics of quantum Heisenberg spin chains

TL;DR

This paper investigates the thermodynamic properties of quantum Heisenberg spin chains with various spins using advanced numerical methods, providing insights into quantum effects and validating results against established techniques.

Contribution

It applies the transfer-matrix renormalization-group method to analyze thermodynamics of spin chains with different spins, offering new detailed data and comparisons.

Findings

Results agree well with Bethe ansatz, exact diagonalization, and quantum Monte Carlo.

Provides detailed temperature dependence of physical quantities.

Enhances understanding of quantum effects in antiferromagnetic spin chains.

Abstract

Thermodynamic properties of the quantum Heisenberg spin chains with S = 1/2, 1, and 3/2 are investigated using the transfer-matrix renormalization-group method. The temperature dependence of the magnetization, susceptibility, specific heat, spin-spin correlation length, and several other physical quantities in a zero or finite applied field are calculated and compared. Our data agree well with the Bethe ansatz, exact diagonalization, and quantum Monte Carlo results and provide further insight into the quantum effects in the antiferromagnetic Heisenberg spin chains.