Quantum spin-1/2 two-dimensional XXZ model: an alternative quantum renormalization-group approach

被引：16
作者：
de Sousa, JR
Branco, NS
Boechat, B
Cordeiro, C
机构：
[1] Univ Fed Amazonas, Inst Ciencias Exatas, Dept Fis, BR-69077000 Manaus, Amazonas, Brazil
[2] Univ Fed Santa Catarina, Dept Fis, BR-88040900 Florianopolis, SC, Brazil
[3] Univ Fed Fluminense, Dept Fis, BR-24210130 Niteroi, RJ, Brazil
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2003年 / 328卷 / 1-2期
关键词：
D O I：
10.1016/S0378-4371(03)00544-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the phase diagram of the two-dimensional quantum spin-1/2 anisotropic Heisenberg model. We adapt a renormalization-group approach to treat this quantum model, and an analysis on low temperatures is presented and compared with the exact results in the isotropic limit, obtained from the Mermin-Wagner theorem. We comment on extensions of the procedure to treat antiferromagnetic models, for S = 1/2 and S > 1/2. (C) 2003 Elsevier B.V. All rights reserved.
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收藏
页码：167 / 173
页数：7
相关论文
共 37 条
[1]   MAGNETIC DYNAMICS OF LA2CUO4 AND LA2-XBAXCUO4 [J].
AEPPLI, G ;
HAYDEN, SM ;
MOOK, HA ;
FISK, Z ;
CHEONG, SW ;
RYTZ, D ;
REMEIKA, JP ;
ESPINOSA, GP ;
COOPER, AS .
PHYSICAL REVIEW LETTERS, 1989, 62 (17) :2052-2055
[2]  
Aplesnin SS, 1998, PHYS STATUS SOLIDI B, V207, P491, DOI 10.1002/(SICI)1521-3951(199806)207:2<491::AID-PSSB491>3.0.CO
[3]  
2-G
[4]   ISING SPIN-GLASS IN A TRANSVERSE MAGNETIC-FIELD [J].
BOECHAT, B ;
DOSSANTOS, R ;
CONTINENTINO, MA .
PHYSICAL REVIEW B, 1994, 49 (09) :6404-6407
[5]   Real-space renormalization group study of the anisotropic antiferromagnetic Heisenberg model on a square lattice [J].
Branco, NS ;
de Sousa, JR .
PHYSICAL REVIEW B, 2000, 62 (09) :5742-5745
[6]   CRITICALITY OF THE ANISOTROPIC QUANTUM HEISENBERG-MODEL ON A SELF-DUAL HIERARCHICAL LATTICE [J].
CARIDE, AO ;
TSALLIS, C ;
ZANETTE, SI .
PHYSICAL REVIEW LETTERS, 1983, 51 (03) :145-147
[7]   A NEW EFFECTIVE-FIELD THEORY FOR A HEISENBERG-FERROMAGNET [J].
CHAKRABORTY, KG .
PHYSICS LETTERS A, 1993, 177 (03) :263-264
[8]   SCALING THEORY FOR THE QUANTUM SPIN-GLASS TRANSITION [J].
CONTINENTINO, MA ;
BOECHAT, B ;
DOSSANTOS, RR .
PHYSICAL REVIEW B, 1994, 50 (18) :13528-13532
[9]   Phase diagram on the anisotropic quantum and classical Heisenberg models [J].
de Sousa, JR ;
Araújo, IG .
SOLID STATE COMMUNICATIONS, 2000, 115 (05) :265-268
[10]  
de Sousa JR, 1998, PHYSICA A, V259, P138, DOI 10.1016/S0378-4371(98)00087-9
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