Quantum Monte Carlo study of low dimensional magnetic system

TL;DR

This paper uses quantum Monte Carlo simulations to investigate the thermodynamic properties of low-dimensional magnetic systems, specifically the S=1/2 XY and Heisenberg models, across a wide temperature range, showing good agreement with theory and experiments.

Contribution

It applies the loop algorithm to simulate low-dimensional magnetic models and provides comprehensive thermodynamic data compared to theoretical and experimental results.

Findings

Thermodynamic quantities match theoretical predictions.

Results agree well with experimental data.

Provides detailed temperature dependence of magnetic properties.

Abstract

Monte Carlo simulations are performed for the S = 1/2 XY and ferro- and antiferromagnetic Heisenberg model in two dimensions using the loop algorithm. Thermodynamic properties of all these models are investigated in wide temperature range. The energy, specific heat, susceptibility and other parameters are given as function of temperature and the Trotter number. The comparison of calculated thermodynamic quantities with theoretical and with experimental data are given. It is shown that our results are in good agreement with them.