Symmetry relations for the six-vertex model

被引：6
|
作者：
Watson, GI [1 ]
机构：
[1] Rutherford Appleton Lab, Didcot OX11 0QX, Oxon, England
来源：
JOURNAL OF STATISTICAL PHYSICS | 1999年 / 94卷 / 5-6期
关键词：
six-vertex model; ice model; BCSOS model; spin ice;
D O I：
10.1023/A:1004547503489
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The exact solution of the asymmetric six-vertex model is cast in an algebraically simple form in which the extraction of physical quantities is transparent. This is used to derive a symmetry relation corresponding to the exchange of spatial x and y axes. As an application we study the field-induced phase transition of a two-dimensional analogue of spin ice, a frustrated Ising magnet.
引用
收藏
页码：1045 / 1054
页数：10
相关论文
共 50 条
  • [1] Symmetry Relations for the Six-Vertex Model
    Greg I. Watson
    Journal of Statistical Physics, 1999, 94 : 1045 - 1054
  • [2] Conformal symmetry in a six-vertex model
    HoKim, Q
    Truong, TT
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1997, 12 (08): : 1531 - 1550
  • [3] Integral Formulas and Antisymmetrization Relations for the Six-Vertex Model
    Luigi Cantini
    Filippo Colomo
    Andrei G. Pronko
    Annales Henri Poincaré, 2020, 21 : 865 - 884
  • [4] Integral Formulas and Antisymmetrization Relations for the Six-Vertex Model
    Cantini, Luigi
    Colomo, Filippo
    Pronko, Andrei G.
    ANNALES HENRI POINCARE, 2020, 21 (03): : 865 - 884
  • [5] Convergence of the Stochastic Six-Vertex Model to the ASEPStochastic Six-Vertex Model and ASEP
    Amol Aggarwal
    Mathematical Physics, Analysis and Geometry, 2017, 20
  • [6] STOCHASTIC SIX-VERTEX MODEL
    Borodin, Alexei
    Corwin, Ivan
    Gorin, Vadim
    DUKE MATHEMATICAL JOURNAL, 2016, 165 (03) : 563 - 624
  • [7] On Delocalization in the Six-Vertex Model
    Lis, Marcin
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2021, 383 (02) : 1181 - 1205
  • [8] On Delocalization in the Six-Vertex Model
    Marcin Lis
    Communications in Mathematical Physics, 2021, 383 : 1181 - 1205
  • [9] Domain Wall Six-Vertex Model with Half-Turn Symmetry
    Pavel Bleher
    Karl Liechty
    Constructive Approximation, 2018, 47 : 141 - 162
  • [10] Domain Wall Six-Vertex Model with Half-Turn Symmetry
    Bleher, Pavel
    Liechty, Karl
    CONSTRUCTIVE APPROXIMATION, 2018, 47 (01) : 141 - 162
12345