EXACT GROUND-STATE OF AN OPEN S = 1/2 LONG-RANGE HEISENBERG ANTIFERROMAGNETIC SPIN CHAIN

被引:21
作者
SIMONS, BD
ALTSHULER, BL
机构
[1] Department of Physics, Massachusetts Insitute of Technology, Cambridge
来源
PHYSICAL REVIEW B | 1994年 / 50卷 / 02期
关键词
D O I
10.1103/PhysRevB.50.1102
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We find the exact ground-state wave function of an open S = 1/2 spin chain with exchange that scales in inverse proportion to the square of the sum and the difference of the coordinates of the spins. For isotropic exchange interaction, numerical study reveals that in common with the periodic manifestation of the spin model, the states are grouped into highly degenerate multiplets.
引用
收藏
页码:1102 / 1105
页数:4
相关论文
共 33 条
[1]   PLANAR DIAGRAMS [J].
BREZIN, E ;
ITZYKSON, C ;
PARISI, G ;
ZUBER, JB .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 59 (01) :35-51
[2]   SOLUTION OF A 3-BODY PROBLEM IN ONE DIMENSION [J].
CALOGERO, F .
JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (12) :2191-&
[3]   GROUND STATE OF A ONE-DIMENSIONAL N-BODY SYSTEM [J].
CALOGERO, F .
JOURNAL OF MATHEMATICAL PHYSICS, 1969, 10 (12) :2197-&
[4]   EXACT RESULTS FOR A HUBBARD CHAIN WITH LONG-RANGE HOPPING [J].
GEBHARD, F ;
RUCKENSTEIN, AE .
PHYSICAL REVIEW LETTERS, 1992, 68 (02) :244-247
[5]   MODELS WITH INVERSE-SQUARE EXCHANGE [J].
HA, ZNC ;
HALDANE, FDM .
PHYSICAL REVIEW B, 1992, 46 (15) :9359-9368
[6]   SPINON GAS DESCRIPTION OF THE S=1/2 HEISENBERG CHAIN WITH INVERSE-SQUARE EXCHANGE - EXACT SPECTRUM AND THERMODYNAMICS [J].
HALDANE, FDM .
PHYSICAL REVIEW LETTERS, 1991, 66 (11) :1529-1532
[7]   YANGIAN SYMMETRY OF INTEGRABLE QUANTUM CHAINS WITH LONG-RANGE INTERACTIONS AND A NEW DESCRIPTION OF STATES IN CONFORMAL FIELD-THEORY [J].
HALDANE, FDM ;
HA, ZNC ;
TALSTRA, JC ;
BERNARD, D ;
PASQUIER, V .
PHYSICAL REVIEW LETTERS, 1992, 69 (14) :2021-2025
[9]   EXACT CALCULATION OF THE GROUND-STATE DYNAMICAL SPIN CORRELATION-FUNCTION OF A S=1/2 ANTIFERROMAGNETIC HEISENBERG CHAIN WITH FREE SPINONS [J].
HALDANE, FDM ;
ZIRNBAUER, MR .
PHYSICAL REVIEW LETTERS, 1993, 71 (24) :4055-4058
[10]   FRACTIONAL STATISTICS IN ARBITRARY DIMENSIONS - A GENERALIZATION OF THE PAULI PRINCIPLE [J].
HALDANE, FDM .
PHYSICAL REVIEW LETTERS, 1991, 67 (08) :937-940