FINITE-SIZE EFFECTS IN THE INTEGRABLE XXZ HEISENBERG-MODEL WITH ARBITRARY SPIN

被引:37
作者
FRAHM, H
YU, NC
机构
[1] Dept. of Phys., Virginia Univ., Charlottesville, VA
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 11期
关键词
D O I
10.1088/0305-4470/23/11/032
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The finite-size effects in the spectrum of the integrable XXZ Heisenberg chain with arbitrary spin-S are studied analytically on the basis of the string hypothesis for bound states and numerically by solving the associated Bethe ansatz equations. The finite-size corrections to the spectrum and to the low-temperature behaviour of the free energy are found to be similar to the universal predictions for conformally invariant theories, although the model is, in general, not Lorentz invariant, since it can have an arbitrary number of branches for low-energy excitations with different Fermi velocities depending on the value of S and the anisotropy parameter gamma .
引用
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页码:2115 / 2132
页数:18
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共 38 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]   CONFORMAL-INVARIANCE, THE XXZ CHAIN AND THE OPERATOR CONTENT OF TWO-DIMENSIONAL CRITICAL SYSTEMS [J].
ALCARAZ, FC ;
BARBER, MN ;
BATCHELOR, MT .
ANNALS OF PHYSICS, 1988, 182 (02) :280-343
[3]   CONFORMAL-INVARIANCE AND THE SPECTRUM OF THE XXZ CHAIN [J].
ALCARAZ, FC ;
BARBER, MN ;
BATCHELOR, MT .
PHYSICAL REVIEW LETTERS, 1987, 58 (08) :771-774
[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]   BETHE-ANSATZ SOLUTIONS OF A NON-STRING TYPE - NUMERICAL RESULTS [J].
AVDEEV, LV .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (13) :L551-L557
[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]   CONFORMAL-INVARIANCE AND CRITICAL-BEHAVIOR OF THE O(N) MODEL ON THE HONEYCOMB LATTICE [J].
BATCHELOR, MT ;
BLOTE, HWJ .
PHYSICAL REVIEW B, 1989, 39 (04) :2391-2402
[8]   BETHE-ANSATZ RESULTS FOR A SOLVABLE O(N) MODEL ON THE SQUARE LATTICE [J].
BATCHELOR, MT ;
NIENHUIS, B ;
WARNAAR, SO .
PHYSICAL REVIEW LETTERS, 1989, 62 (21) :2425-2428
[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]   FINITE-SIZE EFFECTS AND INFRARED ASYMPTOTICS OF THE CORRELATION-FUNCTIONS IN 2 DIMENSIONS [J].
BOGOLIUBOV, NM ;
IZERGIN, AG ;
RESHETIKHIN, NY .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (15) :5361-5369