THE HALDANE-GAP IN ANTIFERROMAGNETIC HEISENBERG-CHAINS

被引：12

作者：

AFFLECK, I ^{[1
]}

机构：

[1] UNIV BRITISH COLUMBIA, DEPT PHYS, VANCOUVER V6T 1Z1, BC, CANADA

来源：

REVIEWS IN MATHEMATICAL PHYSICS | 1994年 / 6卷 / 5A期

关键词：

D O I：

10.1142/S0129055X94000286

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Integer-spin Heisenberg antiferromagnetic chains are expected to have a singlet groundstate and a gap to the first excited state, as first argued by Haldane. We review rigorous results on this conjecture and discuss experimental realizations. Theoretical and experimental aspects of three recent developments in this field are then reviewed: chain-end excitations and the non-local order parameter, a field theory mapping and behavior near zero wave-vector, high-field behavior and one-dimensional Bose condensation.

引用

页码：887 / 899

页数：13

共 53 条

[1]

AFFLECK I, 1990, LES HOUCH S, V49, P563

[2] EXACT RESULTS ON THE DIMERIZATION TRANSITION IN SU(N) ANTIFERROMAGNETIC CHAINS [J].

AFFLECK, I .

JOURNAL OF PHYSICS-CONDENSED MATTER, 1990, 2 (02) :405-415

[3] THEORY OF NEAR-ZERO-WAVE-VECTOR NEUTRON-SCATTERING IN HALDANE-GAP ANTIFERROMAGNETS [J].

AFFLECK, I ;

WESTON, RA .

PHYSICAL REVIEW B, 1992, 45 (09) :4667-4671

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

AFFLECK, I .

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

[5] RIGOROUS RESULTS ON VALENCE-BOND GROUND-STATES IN ANTIFERROMAGNETS [J].

AFFLECK, I ;

KENNEDY, T ;

LIEB, EH ;

TASAKI, H .

PHYSICAL REVIEW LETTERS, 1987, 59 (07) :799-802

[6] VALENCE BOND GROUND-STATES IN ISOTROPIC QUANTUM ANTIFERROMAGNETS [J].

AFFLECK, I ;

KENNEDY, T ;

LIEB, EH ;

TASAKI, H .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 115 (03) :477-528

[7] A PROOF OF PART OF HALDANE CONJECTURE ON SPIN CHAINS [J].

AFFLECK, I ;

LIEB, EH .

LETTERS IN MATHEMATICAL PHYSICS, 1986, 12 (01) :57-69

[8] CRITICAL-THEORY OF QUANTUM SPIN CHAINS [J].

AFFLECK, I ;

HALDANE, FDM .

PHYSICAL REVIEW B, 1987, 36 (10) :5291-5300

[9] BOSE CONDENSATION IN QUASI-ONE-DIMENSIONAL ANTIFERROMAGNETS IN STRONG FIELDS [J].

AFFLECK, I .

PHYSICAL REVIEW B, 1991, 43 (04) :3215-3222

[10] EXACT CRITICAL EXPONENTS FOR QUANTUM SPIN CHAINS, NONLINEAR SIGMA-MODELS AT THETA=PI AND THE QUANTUM HALL-EFFECT [J].

AFFLECK, I .

NUCLEAR PHYSICS B, 1986, 265 (03) :409-447

← 1 2 3 4 5 6 →