SOLITONIC EXCITATIONS IN THE HALDANE PHASE OF AN S=1 CHAIN

被引:52
作者
FATH, G
SOLYOM, J
机构
[1] Res. Inst. for Solid State Phys., Budapest
关键词
D O I
10.1088/0953-8984/5/48/009
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
We study low-lying excitations in the 1D S = 1 antiferromagnetic valence-bond-solid (vbs) model. In a numerical calculation on finite systems the lowest excitations are found to form a discrete triplet branch, separated from the higher-lying continuum. The dispersion of these triplet excitations can be satisfactorily reproduced by assuming approximate wavefunctions. These wavefunctions are shown to correspond to moving hidden domain walls, i.e. to one-soliton excitations.
引用
收藏
页码:8983 / 8998
页数:16
相关论文
共 19 条
[1]   QUANTUM SPIN CHAINS AND THE HALDANE GAP [J].
AFFLECK, I .
JOURNAL OF PHYSICS-CONDENSED MATTER, 1989, 1 (19) :3047-3072
[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]   A PROOF OF PART OF HALDANE CONJECTURE ON SPIN CHAINS [J].
AFFLECK, I ;
LIEB, EH .
LETTERS IN MATHEMATICAL PHYSICS, 1986, 12 (01) :57-69
[4]   STRING CORRELATION-FUNCTIONS IN THE ANISOTROPIC SPIN-1 HEISENBERG CHAIN [J].
ALCARAZ, FC ;
HATSUGAI, Y .
PHYSICAL REVIEW B, 1992, 46 (21) :13914-13918
[5]   EXTENDED HEISENBERG MODELS OF ANTIFERROMAGNETISM - ANALOGIES TO THE FRACTIONAL QUANTUM HALL-EFFECT [J].
AROVAS, DP ;
AUERBACH, A ;
HALDANE, FDM .
PHYSICAL REVIEW LETTERS, 1988, 60 (06) :531-534
[6]   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
[7]   GROUND-STATE, LOW-LYING EXCITED-STATES AND PHASE-DIAGRAM OF ANISOTROPIC S=1 LINEAR ANTIFERROMAGNETS - NUMERICAL-CALCULATIONS FOR OPEN BOUNDARY-CONDITIONS [J].
ELSTNER, N ;
MIKESKA, HJ .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1992, 89 (03) :321-326
[8]   WHAT IS THE SPIN OF A SPIN-WAVE [J].
FADDEEV, LD ;
TAKHTAJAN, LA .
PHYSICS LETTERS A, 1981, 85 (6-7) :375-377
[9]   ISOTROPIC SPIN-1 CHAIN WITH TWISTED BOUNDARY-CONDITION [J].
FATH, G ;
SOLYOM, J .
PHYSICAL REVIEW B, 1993, 47 (02) :872-881
[10]   HIDDEN TOPOLOGICAL ORDER IN INTEGER QUANTUM SPIN CHAINS [J].
GIRVIN, SM ;
AROVAS, DP .
PHYSICA SCRIPTA, 1989, T27 :156-159