LOCALIZATION IN THE GROUND-STATE OF THE ONE-DIMENSIONAL X-Y MODEL WITH A RANDOM TRANSVERSE FIELD

被引：27

作者：

KLEIN, A

PEREZ, JF

机构：

[1] Department of Mathematics, University of California, Irvine, Irvine, 92717, CA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1990年 / 128卷 / 01期

关键词：

D O I：

10.1007/BF02097047

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the ground-state of the quantum spin model {Mathematical expression} in one-dimension, where {hi, iεZ} are independent identically distributed random variables. By means of a Jordan-Wigner transformation the model is mapped into a free Fermi gas in the presence of a random external potential. We then use exponential localization of the one particle states to prove exponential decay for the spin-spin correlation functions. © 1990 Springer-Verlag.

引用

页码：99 / 108

页数：10

共 8 条

[1] ABSENCE OF DIFFUSION IN THE ANDERSON TIGHT-BINDING MODEL FOR LARGE DISORDER OR LOW-ENERGY [J].