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.

引用

页数：4

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