New Results for the Correlation Functions of the Ising Model and the Transverse Ising Chain

被引：0
作者：
Jacques H. H. Perk
Helen Au-Yang
机构：
[1] Oklahoma State University,145 Physical Sciences
[2] Australian National University,Department of Theoretical Physics, (RSPE), and Centre for Mathematics and its Applications (CMA)
来源：
Journal of Statistical Physics | 2009年 / 135卷
关键词：
Ising model; Transverse Ising chain; Correlation function; Time-dependence; Susceptibility;
D O I：
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学科分类号：
摘要：
In this paper we show how an infinite system of coupled Toda-type nonlinear differential equations derived by one of us can be used efficiently to calculate the time-dependent pair-correlations in the Ising chain in a transverse field. The results are seen to match extremely well long large-time asymptotic expansions newly derived here. For our initial conditions we use new long asymptotic expansions for the equal-time pair correlation functions of the transverse Ising chain, extending an old result of T.T. Wu for the 2d Ising model. Using this one can also study the equal-time wavevector-dependent correlation function of the quantum chain, a.k.a. the q-dependent diagonal susceptibility in the 2d Ising model, in great detail with very little computational effort.
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页码：599 / 619
页数：20
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