Critical behavior of the quantum Heisenberg model on three-dimensional diamond-type hierarchical lattice

被引：2

作者：

Zou Wei-Ke ^{[1
]}

Kong Xiang-Mu ^{[1
]}

Wang Chun-Yang ^{[1
]}

Gao Zhong-Yang ^{[1
]}

机构：

[1] Qufu Normal Univ, Coll Phys & Engn, Qufu 273165, Peoples R China

来源：

ACTA PHYSICA SINICA | 2010年 / 59卷 / 07期

基金：

中国国家自然科学基金;

关键词：

phase diagram; Heisenberg model; diamond-type hierarchical lattice; renormalization-group method; RENORMALIZATION-GROUP APPROACH; MERMIN-WAGNER THEOREM; GAUSSIAN MODEL; ENTANGLEMENT;

D O I：

10.7498/aps.59.4874

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

With a real-space renormalization-group method, the anisotropic quantum Heisenberg model on three-dimensional diamond-type hierarchical lattice is studied, and the phase diagram and critical properties are obtained. For the ferromagnetic system, it is shown that there is a finite-temperature phase transition for Delta = 0 where Delta is the anisotropy parameter. The order parameter and critical exponents are also calculated. For the antiferromagnetic model, we find that the critical temperature is not equal to zero for Delta = 0 and there is not reentrant behavior on the critical line.

引用

页码：4874 / 4879

页数：6

共 31 条

[1] Quantum phase transition in a Heisenberg antiferromagnet on a square lattice with strong plaquette interactions
Albuquerque, A. Fabricio
Troyer, Matthias
Oitmaa, Jaan
[J]. PHYSICAL REVIEW B, 2008, 78 (13)
[2] RENORMALIZATION-GROUP CALCULATIONS OF FINITE SYSTEMS - ORDER PARAMETER AND SPECIFIC-HEAT FOR EPITAXIAL ORDERING
BERKER, AN
OSTLUND, S
[J]. JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1979, 12 (22): : 4961 - 4975
[3] Real-space renormalization group study of the anisotropic antiferromagnetic Heisenberg model of spin S=1 on a honeycomb lattice
Boyarchenkov, AS
Ovchinnikov, AS
Bostrem, IG
Baranov, NV
Hosokoshi, Y
Inoue, K
[J]. JOURNAL OF PHYSICS-CONDENSED MATTER, 2005, 17 (12) : 1769 - 1780
[4] Anisotropic Heisenberg model on hierarchical lattices with aperiodic interactions: A renormalization- group approach
Branco, N. S.
de Sousa, J. Ricardo
Ghosh, Angsula
[J]. PHYSICAL REVIEW E, 2008, 77 (03):
[5] Real-space renormalization group study of the anisotropic antiferromagnetic Heisenberg model on a square lattice
Branco, NS
de Sousa, JR
[J]. PHYSICAL REVIEW B, 2000, 62 (09) : 5742 - 5745
[6] Effects of the staggered Dzyaloshinskii-Moriya interaction on entanglement in antiferromagnetic Heisenberg chain
Cai Zhuo
Lu Wen-Bin
Liu Yong-Jun
[J]. ACTA PHYSICA SINICA, 2008, 57 (11) : 7267 - 7273
[7] SIMPLE RENORMALIZATION-GROUP METHOD FOR CALCULATING THERMAL EQUATIONS OF STATES
CARIDE, AO
TSALLIS, C
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (10): : L665 - L671
[8] CRITICALITY OF THE ANISOTROPIC QUANTUM HEISENBERG-MODEL ON A SELF-DUAL HIERARCHICAL LATTICE
CARIDE, AO
TSALLIS, C
ZANETTE, SI
[J]. PHYSICAL REVIEW LETTERS, 1983, 51 (03) : 145 - 147
[9] PHASE-TRANSITIONS AND RANDOM-WALKS ON GRAPHS - A GENERALIZATION OF THE MERMIN-WAGNER THEOREM TO DISORDERED LATTICES, FRACTALS, AND OTHER DISCRETE STRUCTURES
CASSI, D
[J]. PHYSICAL REVIEW LETTERS, 1992, 68 (24) : 3631 - 3634
[10] Local vs average behavior on inhomogeneous structures: Recurrence on the average and a further extension of Mermin-Wagner theorem on graphs
Cassi, D
[J]. PHYSICAL REVIEW LETTERS, 1996, 76 (16) : 2941 - 2944

← 1 2 3 4 →