Phase Transition of the Ising Model on a Hyperbolic Lattice

被引：18
|
作者：
Iharagi, Takatsugu [1 ]
Gendiar, Andrej [2 ,3 ]
Ueda, Hiroshi [4 ]
Nishino, Tomotoshi [1 ]
机构：
[1] Kobe Univ, Grad Sch Sci, Dept Phys, Kobe, Hyogo 6578501, Japan
[2] Slovak Acad Sci, Inst Elect Engn, SK-84104 Bratislava, Slovakia
[3] Slovak Acad Sci, Inst Phys, SK-84511 Bratislava, Slovakia
[4] Osaka Univ, Grad Sch Engn Sci, Dept Mat Engn Sci, Osaka 5608531, Japan
来源：
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 2010年 / 79卷 / 10期
关键词：
DMRG; CTMRG; hyperbolic; entanglement; MATRIX RENORMALIZATION-GROUP; CLASSICAL-MODELS; FORMULATION;
D O I：
10.1143/JPSJ.79.104001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The matrix product structure is considered on a regular lattice in the hyperbolic plane. The phase transition of the Ising model is observed on the hyperbolic (5,4)-lattice by means of the corner-transfer-matrix renormalization group (CTMRG) method. Calculated correlation length is always finite even at the transition temperature, where mean-field like behavior is observed. The entanglement entropy is also always finite.
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页数：4
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