HALDANE GAP IN THE SPIN-1/2 DOUBLE CHAIN ANISOTROPIC HEISENBERG-ANTIFERROMAGNET

被引：15

作者：

HIDA, K

机构：

[1] Department of Physics, College of Liberal Arts, Saitama University

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1991年 / 60卷 / 06期

关键词：

HALDANE GAP; ANTIFERROMAGNETIC HEISENBERG CHAIN; NONLINEAR SIGMA MODEL; KOSTERLITZ-THOULESS TRANSITION;

D O I：

10.1143/JPSJ.60.1939

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The double chain Heisenberg antiferromagnet with anisotropy is studied using the mapping onto the coupled anisotropic nonlinear sigma-model. This model consists of two anisotropic antiferromagnetic quantum Heisenberg chains with half-integer spin coupled with each other via the ferromagnetic interchain coupling J'. For small J', our analysis suggests that J' is an irrelevant parameter and consequently the two chains behave independently and no gap is generated. On the other hand, for large enough J', the two chains behave as a single Heisenberg chain with integer spin which has a gap in the excitation spectrum. The expected behavior in the isotropic limit is also discussed.

引用

收藏

页码：1939 / 1942

页数：4

相关论文

共 17 条

[1] QUANTUM SPIN CHAINS AND THE HALDANE GAP [J].

AFFLECK, I .

JOURNAL OF PHYSICS-CONDENSED MATTER, 1989, 1 (19) :3047-3072

[2] HIGH-FIELD MAGNETIZATION OF A QUASI-ONE-DIMENSIONAL S=1 ANTIFERROMAGNET NI(C2H8N2)2NO2(CLO4) - OBSERVATION OF THE HALDANE GAP [J].

AJIRO, Y ;

GOTO, T ;

KIKUCHI, H ;

SAKAKIBARA, T ;

INAMI, T .

PHYSICAL REVIEW LETTERS, 1989, 63 (13) :1424-1427

[3]

[Anonymous], 1962, PHYS REV, DOI DOI 10.1103/PHYSREV.128.2131

[4]

HALDANE FDM, 1980, PHYS REV LETT, V45, P1358, DOI 10.1103/PhysRevLett.45.1358

[5] CONTINUUM DYNAMICS OF THE 1-D HEISENBERG ANTI-FERROMAGNET - IDENTIFICATION WITH THE O(3) NON-LINEAR SIGMA-MODEL [J].

HALDANE, FDM .

PHYSICS LETTERS A, 1983, 93 (09) :464-468

[6] NON-LINEAR FIELD-THEORY OF LARGE-SPIN HEISENBERG ANTI-FERROMAGNETS - SEMI-CLASSICALLY QUANTIZED SOLITONS OF THE ONE-DIMENSIONAL EASY-AXIS NEEL STATE [J].

HALDANE, FDM .

PHYSICAL REVIEW LETTERS, 1983, 50 (15) :1153-1156

[7] HALDANE GAP IN THE SPIN-1/2 DOUBLE CHAIN HEISENBERG-ANTIFERROMAGNET - NUMERICAL DIAGONALIZATION AND PROJECTOR MONTE-CARLO STUDY [J].

HIDA, K .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1991, 60 (04) :1347-1354

[8] RENORMALIZATION, VORTICES, AND SYMMETRY-BREAKING PERTURBATIONS IN 2-DIMENSIONAL PLANAR MODEL [J].

JOSE, JV ;

KADANOFF, LP ;

KIRKPATRICK, S ;

NELSON, DR .

PHYSICAL REVIEW B, 1977, 16 (03) :1217-1241

[9] MAGNETIZATION PROCESS OF AN S=1 LINEAR-CHAIN HEISENBERG-ANTIFERROMAGNET [J].

KATSUMATA, K ;

HORI, H ;

TAKEUCHI, T ;

DATE, M ;

YAMAGISHI, A ;

RENARD, JP .

PHYSICAL REVIEW LETTERS, 1989, 63 (01) :86-88

[10] CRITICAL PROPERTIES OF 2-DIMENSIONAL XY-MODEL [J].

KOSTERLITZ, JM .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1974, 7 (06) :1046-1060