AN ANALYTIC TREATMENT OF FINITE-SIZE CORRECTIONS IN THE SPIN-1 ANTIFERROMAGNETIC XXZ CHAIN

被引：61

作者：

KLUMPER, A

BATCHELOR, MT

机构：

[1] AUSTRALIAN NATL UNIV, SCH MATH SCI, CTR MATH ANAL, CANBERRA, ACT 2601, AUSTRALIA

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

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 05期

关键词：

D O I：

10.1088/0305-4470/23/5/002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is known that the standard method for calculating finite-size corrections in Bethe ansatz solvable systems is not applicable to the Takhtajan-Babujian model and its anisotropic XXZ generalisation. The authors develop a new analytic method explicitly avoiding root densities and associated problems. Nonlinear integral equations are derived whose solutions yield the correct central charges c=1 and c=3/2 for the spin-1/2 and spin-1 XXZ chains, respectively. In the spin-1 case the authors obtain as a by-product the finite-size deviation of the Bethe ansatz roots from the 2-string formation.

引用

页码：L189 / L195

页数：7

共 25 条

[1] UNIVERSAL TERM IN THE FREE-ENERGY AT A CRITICAL-POINT AND THE CONFORMAL ANOMALY [J].

AFFLECK, I .

PHYSICAL REVIEW LETTERS, 1986, 56 (07) :746-748

[2] CRITICAL-BEHAVIOR OF SPIN-S HEISENBERG ANTIFERROMAGNETIC CHAINS - ANALYTIC AND NUMERICAL RESULTS [J].

AFFLECK, I ;

GEPNER, D ;

SCHULZ, HJ ;

ZIMAN, T .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (05) :511-529

[3] CONFORMAL-INVARIANCE AND CRITICAL EXPONENTS OF THE TAKHTAJAN-BABUJIAN MODELS [J].

ALCARAZ, FC ;

MARTINS, MJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1988, 21 (23) :4397-4413

[4] CONFORMAL-INVARIANCE AND THE OPERATOR CONTENT OF THE XXZ MODEL WITH ARBITRARY SPIN [J].

ALCARAZ, FC ;

MARTINS, MJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (11) :1829-1858

[5]

[Anonymous], 1987, PHASE TRANSITIONS CR

[6] SOLUTIONS OF THE BETHE ANSATZ EQUATIONS FOR XXX-ANTIFERROMAGNET OF ARBITRARY SPIN IN THE CASE OF A FINITE NUMBER OF SITES [J].

AVDEEV, LV ;

DORFEL, BD .

THEORETICAL AND MATHEMATICAL PHYSICS, 1987, 71 (02) :528-542

[7] EXACT SOLUTION OF THE ISOTROPIC HEISENBERG CHAIN WITH ARBITRARY SPINS - THERMODYNAMICS OF THE MODEL [J].

BABUJIAN, HM .

NUCLEAR PHYSICS B, 1983, 215 (03) :317-336

[8]

Baxter R. J., 2007, EXACTLY SOLVED MODEL

[9] CONFORMAL-INVARIANCE, THE CENTRAL CHARGE, AND UNIVERSAL FINITE-SIZE AMPLITUDES AT CRITICALITY [J].

BLOTE, HWJ ;

CARDY, JL ;

NIGHTINGALE, MP .

PHYSICAL REVIEW LETTERS, 1986, 56 (07) :742-745

[10] METHOD FOR CALCULATING FINITE SIZE CORRECTIONS IN BETHE ANSATZ SYSTEMS - HEISENBERG CHAIN AND 6-VERTEX MODEL [J].

DEVEGA, HJ ;

WOYNAROVICH, F .

NUCLEAR PHYSICS B, 1985, 251 (03) :439-456

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