String order and adiabatic continuity of Haldane chains and band insulators

被引：57

作者：

Anfuso, F. ^{[1
]}

Rosch, A. ^{[1
]}

机构：

[1] Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany

来源：

PHYSICAL REVIEW B | 2007年 / 75卷 / 14期

关键词：

D O I：

10.1103/PhysRevB.75.144420

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The ground state of spin-1 Haldane chains is characterized by the so-called string order. We show that the same hidden order is also present in ordinary one-dimensional band insulators. We construct a family of Hamiltonians which connect adiabatically band insulators to two topologically nonequivalent spin models, the Haldane chain and the antiferromagnetic spin-1/2 ladder. We observe that the localized spin-1/2 edge-state characteristic of spin-1 chains is smoothly connected to a surface-bound state of band insulators and its emergence is not related to any bulk phase transition. Furthermore, we show that the string order is absent in any dimensions higher than 1.

引用

页数：6

共 25 条

[1] 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

[2] 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

[3]

ANFUSO F, CONDMAT0702064

[4] VALENCE BONDS AND THE LIEB-SCHULTZ-MATTIS THEOREM [J].

BONESTEEL, NE .

PHYSICAL REVIEW B, 1989, 40 (13) :8954-8960

[5] PREROUGHENING TRANSITIONS IN CRYSTAL-SURFACES AND VALENCE-BOND PHASES IN QUANTUM SPIN CHAINS [J].

DENNIJS, M ;

ROMMELSE, K .

PHYSICAL REVIEW B, 1989, 40 (07) :4709-4734

[6] Fermions in optical lattices swept across Feshbach resonances [J].

Diener, RB ;

Ho, TL .

PHYSICAL REVIEW LETTERS, 2006, 96 (01)

[7] From band insulator to Mott insulator in one dimension [J].

Fabrizio, M ;

Gogolin, AO ;

Nersesyan, AA .

PHYSICAL REVIEW LETTERS, 1999, 83 (10) :2014-2017

[8] OBSERVATION OF FRACTIONAL SPIN S=1/2 ON OPEN ENDS OF S=1 LINEAR ANTIFERROMAGNETIC CHAINS - NONMAGNETIC DOPING [J].

GLARUM, SH ;

GESCHWIND, S ;

LEE, KM ;

KAPLAN, ML ;

MICHEL, J .

PHYSICAL REVIEW LETTERS, 1991, 67 (12) :1614-1617

[9] 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

[10] 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

← 1 2 3 →