FINITE CHAINS WITH QUANTUM AFFINE SYMMETRIES

被引:14
作者
ALCARAZ, FC
ARNAUDON, D
RITTENBERG, V
SCHEUNERT, M
机构
[1] UNIV BONN, INST PHYS, D-53115 BONN, GERMANY
[2] CERN, DIV THEORY, CH-1211 GENEVA 23, SWITZERLAND
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 1994年 / 9卷 / 19期
关键词
D O I
10.1142/S0217751X94001370
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
We consider an extension of the t-U Hubbard model taking into account new interactions between the numbers of up and down electrons. We confine ourselves to a one-dimensional open chain with L sites (4L states) and derive the effective Hamiltonian in the strong repulsion (large U) regime. This Hamiltonian acts on 3L states. We show that the spectrum of the latter Hamiltonian (not the degeneracies) coincides with the spectrum of the anisotropic Heisenberg chain (XXZ model) in the presence of a Z field (2L states). The wave functions of the 3L-state system are obtained explicitly from those of the 2L-state system, and the degeneracies can be understood in terms of irreducible representations of U(q)[sl(2)].
引用
收藏
页码:3473 / 3496
页数:24
相关论文
共 20 条
[1]  
AFFLECK I, 1990, LES HOUCH S, V49, P563
[2]   ALL EXACTLY SOLVABLE U(1)-INVARIANT QUANTUM SPIN-1 CHAINS FROM HECKE ALGEBRA [J].
ALCARAZ, FC ;
KOBERLE, R ;
LIMASANTOS, A .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1992, 7 (30) :7615-7628
[3]  
ALCARAZ FC, IN PRESS ANN PHYS
[4]   THE RESONATING VALENCE BOND STATE IN LA2CUO4 AND SUPERCONDUCTIVITY [J].
ANDERSON, PW .
SCIENCE, 1987, 235 (4793) :1196-1198
[5]   QUANTUM AFFINE ALGEBRAS [J].
CHARI, V ;
PRESSLEY, A .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 142 (02) :261-283
[6]   NEW INTEGRABLE DEFORMATIONS OF HIGHER SPIN HEISENBERG-ISING CHAINS [J].
GOMEZ, C ;
SIERRA, G .
PHYSICS LETTERS B, 1992, 285 (1-2) :126-132
[7]   QUANTUM GROUPS, CORRELATION-FUNCTIONS AND INFRARED DIVERGENCES [J].
HINRICHSEN, H ;
RITTENBERG, V .
PHYSICS LETTERS B, 1993, 304 (1-2) :115-120
[8]   TWO-DIMENSIONAL HUBBARD-MODEL WITH STRONG ELECTRON REPULSION [J].
IOFFE, LB ;
LARKIN, AI .
PHYSICAL REVIEW B, 1988, 37 (10) :5730-5737
[9]   LOW-TEMPERATURE THERMODYNAMICS OF DELTA GREATER THAN OR EQUAL TO 1 HEISENBERG-ISING RING [J].
JOHNSON, JD ;
MCCOY, BM .
PHYSICAL REVIEW A-GENERAL PHYSICS, 1972, 6 (04) :1613-+
[10]   DYNAMICAL CHARGES IN QUANTIZED RENORMALIZED MASSIVE THIRRING MODEL [J].
LUSCHER, M .
NUCLEAR PHYSICS B, 1976, 117 (02) :475-492