Series expansion for the J(1)-J(2) Heisenberg antiferromagnet on a square lattice

被引：73

作者：

Oitmaa, J

Zheng, WH

机构：

[1] School of Physics, The University of New South Wales, Sydney

来源：

PHYSICAL REVIEW B | 1996年 / 54卷 / 05期

关键词：

D O I：

10.1103/PhysRevB.54.3022

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We have developed series expansions about the Ising Limit for the groundstate energy, magnetization, susceptibility, and energy gap of the frustrated J(1)-J(2) antiferromagnet. We find that the Neel order vanishes at J(2)/J(1) similar or equal to 0.4 and collinear order sets in around J(2)/J(1) similar or equal to 0.6, in broad agreement with other recent work. We also explore the nature of the phase diagram for the spin-anisotropic case.

引用

页码：3022 / 3025

页数：4

共 16 条

[1] J1-J2 MODEL - ENERGY, CORRELATIONS, AND ORDER-PARAMETER FLUCTUATIONS ON FINITE LATTICES [J].

CECCATTO, HA ;

GAZZA, CJ ;

TRUMPER, AE .

PHYSICAL REVIEW B, 1992, 45 (14) :7832-7836

[2] PHASE-DIAGRAM OF THE FRUSTRATED SPIN-1/2 HEISENBERG-ANTIFERROMAGNET IN 2 DIMENSIONS [J].

DAGOTTO, E ;

MOREO, A .

PHYSICAL REVIEW LETTERS, 1989, 63 (19) :2148-2151

[3] PHASE-DIAGRAM OF THE SPIN-1/2 HEISENBERG-ANTIFERROMAGNET ON A SQUARE LATTICE WITH NEAREST-NEIGHBOR AND NEXT-NEAREST-NEIGHBOR COUPLINGS [J].

DEOLIVEIRA, MJ .

PHYSICAL REVIEW B, 1991, 43 (07) :6181-6183

[4] QUANTUM PHASE-TRANSITION IN THE FRUSTRATED HEISENBERG-ANTIFERROMAGNET [J].

DOTSENKO, AV ;

SUSHKOV, OP .

PHYSICAL REVIEW B, 1994, 50 (18) :13821-13824

[5] DIRECT CALCULATION OF THE SPIN STIFFNESS IN THE J(1)-J(2) HEISENBERG-ANTIFERROMAGNET [J].

EINARSSON, T ;

SCHULZ, HJ .

PHYSICAL REVIEW B, 1995, 51 (09) :6151-6154

[6] PERTURBATION EXPANSIONS FOR QUANTUM MANY-BODY SYSTEMS [J].

GELFAND, MP ;

SINGH, RRP ;

HUSE, DA .

JOURNAL OF STATISTICAL PHYSICS, 1990, 59 (5-6) :1093-1142

[7]

GUTTMANN AJ, 1974, PHASE TRANSITIONS CR, V13

[8] HIGH-TEMPERATURE SERIES EXPANSIONS FOR THE (2 + 1)-DIMENSIONAL ISING-MODEL [J].

HE, HX ;

HAMER, CJ ;

OITMAA, J .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (10) :1775-1787

[9] GROUND-STATE STAGGERED MAGNETIZATION OF TWO-DIMENSIONAL QUANTUM HEISENBERG ANTIFERROMAGNETS [J].

HUSE, DA .

PHYSICAL REVIEW B, 1988, 37 (04) :2380-2382

[10] THE SPIN-1/2 HEISENBERG-ANTIFERROMAGNET ON A SQUARE LATTICE AND ITS APPLICATION TO THE CUPROUS OXIDES [J].

MANOUSAKIS, E .

REVIEWS OF MODERN PHYSICS, 1991, 63 (01) :1-62

← 1 2 →