Some exactly solvable and tunable frustrated spin models

被引：0
|
作者：
Caravelli, F. [1 ]
机构：
[1] Los Alamos Natl Lab, Theoret Div T4, Los Alamos, NM 87545 USA
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2022年 / 594卷
关键词：
Spin ice; Frustration; Exact solutions; ICE; COLLOQUIUM; LATTICE; TREES; GLASS;
D O I：
10.1016/j.physa.2022.127007
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We discuss three exactly solvable spin models of geometric frustration. First, we discuss a 1-parameter subfamily of the 16 vertex model, which can be mapped to a planar Ising model and solved via Fisher-Dubedat decorations. We then consider a 1-parameter family generalization of the Villain's fully frustrated model, which interpolates between Onsager's 2D Ising model and the Villain one. We then discuss spin ice models on a tree, which can be solved exactly using recursions a la Bethe.(C) 2022 Elsevier B.V. All rights reserved.
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页数：12
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