SOME RESULTS FOR THE 2-DIMENSIONAL ISING-MODEL WITH COMPETING INTERACTIONS

被引:47
作者
DOMANY, E
机构
[1] Deparhent of Physics, University of Washington, Seattle
来源
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS | 1979年 / 12卷 / 03期
关键词
D O I
10.1088/0022-3719/12/3/007
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
The applicability of the n-replica method to an Ising system with positive and negative bonds of equal strength is investigated. It is shown that this method does reproduce the correct low-temperature and low-(negative bond) concentration series for the ground-state energy. It is essential, however, to take the low-temperature limit after the n to 0 limit. For a square lattice, the slope of the critical line near the pure-system transition point is found to be 2 square root 2/ln( square root 2+1). The onset of spin-glass order is conjectured to be associated with a negative bond concentration at which unfrustrated plaquettes no longer percolate the lattice. The estimated value of 16% is in agreement with Monte Carlo results.
引用
收藏
页码:L119 / L123
页数:5
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