Aperiodic Ising Quantum Chains
统计力学
2008-02-03 v3
摘要
Some years ago, Luck proposed a relevance criterion for the effect of aperiodic disorder on the critical behaviour of ferromagnetic Ising systems. In this article, we show how Luck's criterion can be derived within an exact renormalisation scheme for Ising quantum chains with coupling constants modulated according to substitution rules. Luck's conjectures for this case are confirmed and refined. Among other outcomes, we give an exact formula for the correlation length critical exponent for arbitrary two-letter substitution sequences with marginal fluctuations of the coupling constants.
引用
@article{arxiv.cond-mat/9706106,
title = {Aperiodic Ising Quantum Chains},
author = {Joachim Hermisson and Uwe Grimm and Michael Baake},
journal= {arXiv preprint arXiv:cond-mat/9706106},
year = {2008}
}
备注
27 pages, LaTeX, 1 Postscript figure included, using epsf.sty and amssymb.sty (one error corrected, some minor changes)