TEMPERATURE CORRELATIONS OF QUANTUM SPINS

被引：101

作者：

ITS, AR

IZERGIN, AG

KOREPIN, VE

SLAVNOV, NA

机构：

[1] ECOLE NORMALE SUPER LYON, ENSLAPP, PHYS THEOR LAB, LYON, FRANCE

[2] VA STEKLOV MATH INST, MOSCOW, RUSSIA

[3] SUNY STONY BROOK, INST THEORET PHYS, STONY BROOK, NY 11794 USA

[4] CLARKSON UNIV, INST NONLINEAR STUDIES, POTSDAM, NY 13699 USA

来源：

PHYSICAL REVIEW LETTERS | 1993年 / 70卷 / 11期

关键词：

D O I：

10.1103/PhysRevLett.70.1704

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the isotropic XY model in a transverse magnetic field in one dimension. One can alternatively call this model the Heisenberg XXO antiferromagnet. We solve the problem of the evaluation of asymptotics of temperature correlations and explain the physical meaning of our result. To do this we represent the quantum correlation function as a tau function of a completely integrable differential equation. This is the well-known Ablowitz-Ladik lattice nonlinear Schrodinger differential equation.

引用

页码：1704 / 1706

页数：3

共 18 条

[1]

ABLOWITZ MJ, 1976, STUD APPL MATH, V55, P213

[2]

COLOMO F, IN PRESS PHYS LETT

[3]

DEIFT P, 1992, IN PRESS COURANT MAT

[4] LARGE TIME AND DISTANCE ASYMPTOTICS OF FIELD CORRELATION-FUNCTION OF IMPENETRABLE BOSONS AT FINITE TEMPERATURE [J].

ITS, AR ;

IZERGIN, AG ;

KOREPIN, VE ;

VARZUGIN, GG .

PHYSICA D-NONLINEAR PHENOMENA, 1992, 54 (04) :351-395

[5]

ITS AR, 1992, IMPORTANT DEV SOLITO

[6]

ITS AR, 1990, J MOD PHYS B, P1003

[7]

Jimbo M., 1980, Physica D, V1D, P80, DOI 10.1016/0167-2789(80)90006-8

[8] MONODROMY PRESERVING DEFORMATION OF LINEAR ORDINARY DIFFERENTIAL-EQUATIONS WITH RATIONAL COEFFICIENTS .1. GENERAL-THEORY AND TAU-FUNCTION [J].

JIMBO, M ;

MIWA, T ;

UENO, K .

PHYSICA D, 1981, 2 (02) :306-352

[9]

JIMBO M, 1989, P S PURE MATH 1, V49, P379

[10]

KOREPIN VE, 1992, QUANTUM INVERSE SCAT

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