Ground state of the quantum symmetric finite-size XXZ spin chain with anisotropy parameter Δ=1/2

被引：26

作者：

Fridkin, V ^{[1
]}

Stroganov, Y

Zagier, D

机构：

[1] Kyoto Univ, Math Sci Res Inst, Kyoto 606, Japan

[2] Inst High Energy Phys, Moscow, Russia

[3] Max Planck Inst Math, D-53225 Bonn, Germany

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2000年 / 33卷 / 13期

关键词：

D O I：

10.1088/0305-4470/33/13/101

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We find an analytic solution of the Bethe Ansatz equations for the special case of a finite XXZ spin chain with free boundary conditions and with a complex surface field which provides for U-q(sl(2)) symmetry of the Hamiltonian. More precisely, we find one nontrivial solution, corresponding to the ground state of the system with anisotropy parameter Delta = 1/2 corresponding to q(3) = -1.

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页码：L121 / L125

页数：5

相关论文

共 13 条

[1] SURFACE EXPONENTS OF THE QUANTUM XXZ, ASHKIN-TELLER AND POTTS MODELS [J].

ALCARAZ, FC ;

BARBER, MN ;

BATCHELOR, MT ;

BAXTER, RJ ;

QUISPEL, GRW .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (18) :6397-6409

[2] 8-VERTEX SOS MODEL AND GENERALIZED ROGERS-RAMANUJAN-TYPE IDENTITIES [J].

ANDREWS, GE ;

BAXTER, RJ ;

FORRESTER, PJ .

JOURNAL OF STATISTICAL PHYSICS, 1984, 35 (3-4) :193-266

[3]

Baxter R.J., 1989, Adv. Stud. Pure Math., V19, P95

[4] HARD HEXAGONS - INTERFACIAL-TENSION AND CORRELATION LENGTH [J].

BAXTER, RJ ;

PEARCE, PA .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (03) :897-910

[5] Interaction-round-a-face models with fixed boundary conditions: The ABF fusion hierarchy [J].

Behrend, RE ;

Pearce, PA ;

OBrien, DL .

JOURNAL OF STATISTICAL PHYSICS, 1996, 84 (1-2) :1-48

[6] Minimal models of integrable lattice theory and truncated functional equations [J].

Belavin, A ;

Stroganov, Y .

PHYSICS LETTERS B, 1999, 466 (2-4) :281-286

[7] FACTORIZING PARTICLES ON A HALF-LINE AND ROOT SYSTEMS [J].

CHEREDNIK, IV .

THEORETICAL AND MATHEMATICAL PHYSICS, 1984, 61 (01) :977-983

[8] The penetration of a potential barrier by electrons [J].

Eckart, C .

PHYSICAL REVIEW, 1930, 35 (11) :1303-1309

[9]

FRIDKIN V, 2000, IN PRESS P BAXT REV

[10] ANALYTICAL BETHE ANSATZ FOR QUANTUM-ALGEBRA-INVARIANT SPIN CHAINS [J].

MEZINCESCU, L ;

NEPOMECHIE, RI .

NUCLEAR PHYSICS B, 1992, 372 (03) :597-621