English

Temperature Correlations of Quantum Spins

Condensed Matter 2007-05-23 v1

Abstract

We consider isotropic XY model in the transverse magnetic field on the one dimensional lattice. Another name of the model in Heisenberg XXO model of spin 1/2.We solved long standing problem of evaluation of temperature correlations. We first represent correlation function in the model, by means of completely integrable differential equation. This is famous Ablowitz-Ladik lattice Nonlinear Schrodinger equation.Correlation function is the τ\tau function of this differential equation. We solved this equation and evaluate asymptotics.

Keywords

Cite

@article{arxiv.cond-mat/9209034,
  title  = {Temperature Correlations of Quantum Spins},
  author = {Alexandr Its and Anatloij Izergin and Vladimr Korepin and Nikita Slavnov},
  journal= {arXiv preprint arXiv:cond-mat/9209034},
  year   = {2007}
}

Comments

6 pages, TEX ITP-SB-92-47, INS #211 ENSLAPP 394

R2 v1 2026-07-22T11:45:34.244Z