Quantum spin glass on the Bethe lattice

被引：19

作者：

Kopec, TK ^{[1
]}

Usadel, KD ^{[1
]}

机构：

[1] GERHARD MERCATOR UNIV DUISBURG,D-47048 DUISBURG,GERMANY

来源：

PHYSICAL REVIEW LETTERS | 1997年 / 78卷 / 10期

关键词：

TRANSVERSE-FIELD; CRITICAL-BEHAVIOR; SPHERICAL MODEL; TRANSITION; CHAINS;

D O I：

10.1103/PhysRevLett.78.1988

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present an exact analytic solution of the short-range interaction disordered quantum spherical model with symmetric binary +/-J bond distribution on the Bethe lattice (with coordination number z). We find the zero temperature quantum spin glass phase transition for coordinations z greater than or equal to 3 but not for the one-dimensional system (z=2). Quantum dynamics is examined via various correlation functions on the infinite tree which are evaluated in a closed form. The relationship between the results for a fully connected lattice (z-->infinity) and the usual mean-field approach is established.

引用

页码：1988 / 1991

页数：4

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