EQUIVALENCE AND SOLUTION OF ANISOTROPIC SPIN-1 MODELS AND GENERALIZED T-J FERMION MODELS IN ONE DIMENSION

被引：187

作者：

KLUMPER, A ^{[1
]}

SCHADSCHNEIDER, A ^{[1
]}

ZITTARTZ, J ^{[1
]}

机构：

[1] UNIV MELBOURNE,DEPT MATH,PARKVILLE,VIC 3052,AUSTRALIA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 16期

关键词：

D O I：

10.1088/0305-4470/24/16/012

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the relationship of two 'q-deformed' spin-1 chains-both of them are solvable models-with a generalized supersymmetric t-J fermion model in one dimension. One of the spin-1 chains is an anisotropic VBS model for which we calculate ground state and ground-state properties. The other spin-1 chain corresponds to the Zamolodchikov-Fateev model which is solvable by Bethe ansatz and is equivalent to a certain t-J model. The two spin-1 models intersect for a certain value of the 'deformation' parameter q in a second-order phase transition.

引用

收藏

页码：L955 / L959

页数：5

相关论文

共 16 条

[1] 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

[2] CONFORMAL-INVARIANCE AND THE HEISENBERG-MODEL WITH ARBITRARY SPIN [J].

ALCARAZ, FC ;

MARTINS, MJ .

PHYSICAL REVIEW LETTERS, 1989, 63 (07) :708-711

[3] THE RESONATING VALENCE BOND STATE IN LA2CUO4 AND SUPERCONDUCTIVITY [J].

ANDERSON, PW .

SCIENCE, 1987, 235 (4793) :1196-1198

[4] HEISENBERG MAGNET WITH AN ARBITRARY SPIN AND ANISOTROPIC CHIRAL FIELD [J].

BABUJIAN, HM ;

TSVELICK, AM .

NUCLEAR PHYSICS B, 1986, 265 (01) :24-44

[5] SUPERSYMMETRIC T-J MODEL IN ONE DIMENSION - SEPARATION OF SPIN AND CHARGE [J].

BARES, PA ;

BLATTER, G .

PHYSICAL REVIEW LETTERS, 1990, 64 (21) :2567-2570

[6] Q-DEFORMATIONS OF THE O(3) SYMMETRIC SPIN-1 HEISENBERG CHAIN [J].

BATCHELOR, MT ;

MEZINCESCU, L ;

NEPOMECHIE, RI ;

RITTENBERG, V .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (04) :L141-L144

[7] A Q-DIFFERENCE ANALOG OF U(G) AND THE YANG-BAXTER EQUATION [J].

JIMBO, M .

LETTERS IN MATHEMATICAL PHYSICS, 1985, 10 (01) :63-69

[8] EXACT SOLUTION OF THE INTEGRABLE XXZ HEISENBERG-MODEL WITH ARBITRARY SPIN .1. THE GROUND-STATE AND THE EXCITATION SPECTRUM [J].

KIRILLOV, AN ;

RESHETIKHIN, NY .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (06) :1565-1585

[9]

KIRILLOV AN, 1987, J PHYS A, V20, P1585

[10] LATTICE GAS WITH NEAREST-NEIGHBOR INTERACTION IN ONE DIMENSION WITH ARBITRARY STATISTICS [J].

LAI, CK .

JOURNAL OF MATHEMATICAL PHYSICS, 1974, 15 (10) :1675-1676