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

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

2002-10-22

arxiv.org/abs/cond-mat/0210497v1

Eur. Phys. J. B 48, 157(2005).

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 6 figures

Scientific paper

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).

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