SU(2)XSU(2)-INVARIANT SCATTERING MATRIX OF THE HUBBARD-MODEL

被引:48
作者
ESSLER, FHL [1 ]
KOREPIN, VE [1 ]
机构
[1] SUNY STONY BROOK,INST THEORET PHYS,STONY BROOK,NY 11794
基金
美国国家科学基金会;
关键词
D O I
10.1016/0550-3213(94)90019-1
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We consider the one-dimensional half-filled Hubbard model. We show that the excitation spectrum is given by the scattering states of four elementary excitations, which form the fundamental representation of SU(2) x SU(2). We determine the exact two-particle scattering matrix, which is a solution of the Yang-Baxter equation and reflects the SO(4) symmetry of the model. The results for the repulsive and attractive Hubbard model are related by an interchange of spin and charge degrees of freedom.
引用
收藏
页码:505 / 533
页数:29
相关论文
共 45 条
[31]   SPIN AND PAIRING ALGEBRAS AND ODLRO IN A HUBBARD-MODEL [J].
PERNICI, M .
EUROPHYSICS LETTERS, 1990, 12 (01) :75-80
[32]  
SHASTRY BS, 1988, J STAT PHYS, V50, P57, DOI 10.1007/BF01022987
[33]  
SUTHERLAND B, 1985, LECT NOTES PHYS, V242, P1
[34]   MAGNETIZATION CURVE FOR HALF-FILLED HUBBARD MODEL [J].
TAKAHASHI, M .
PROGRESS OF THEORETICAL PHYSICS, 1969, 42 (05) :1098-+
[35]   ONE-DIMENSIONAL HUBBARD MODEL AT FINITE TEMPERATURE [J].
TAKAHASHI, M .
PROGRESS OF THEORETICAL PHYSICS, 1972, 47 (01) :69-+
[36]   ONE-DIMENSIONAL HEISENBERG MODEL AT FINITE TEMPERATURE [J].
TAKAHASHI, M .
PROGRESS OF THEORETICAL PHYSICS, 1971, 46 (02) :401-+
[37]   THE PICTURE OF LOW-LYING EXCITATIONS IN THE ISOTROPIC HEISENBERG CHAIN OF ARBITRARY SPINS [J].
TAKHTAJAN, LA .
PHYSICS LETTERS A, 1982, 87 (09) :479-482
[39]   LOW-ENERGY EXCITED-STATES IN A HUBBARD CHAIN WITH ON-SITE ATTRACTION [J].
WOYNAROVICH, F .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1983, 16 (34) :6593-6604
[40]   EXCITATIONS WITH COMPLEX WAVENUMBERS IN A HUBBARD CHAIN .1. STATES WITH ONE PAIR OF COMPLEX WAVENUMBERS [J].
WOYNAROVICH, F .
JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1982, 15 (01) :85-96