English

Numerical and Monte Carlo Bethe ansatz method: 1D Heisenberg model

Strongly Correlated Electrons 2015-06-24 v1 Statistical Mechanics

Abstract

In this paper we present two new numerical methods for studying thermodynamic quantities of integrable models. As an example of the effectiveness of these two approaches, results from numerical solutions of all sets of Bethe ansatz equations, for small Heisenberg chains, and Monte Carlo simulations in quasi-momentum space, for a relatively larger chains, are presented. Our results agree with those obtained by thermodynamics Bethe ansatz (TBA) and Quantum Transfer Matrix (QTM).

Keywords

Cite

@article{arxiv.cond-mat/0210497,
  title  = {Numerical and Monte Carlo Bethe ansatz method: 1D Heisenberg model},
  author = {Shi-Jian Gu and N. M. R. Peres and You-Quan Li},
  journal= {arXiv preprint arXiv:cond-mat/0210497},
  year   = {2015}
}

Comments

8 pages, 6 figures