Boundary conditions and amplitude ratios for finite-size corrections of a one-dimensional quantum spin model

被引:23
|
作者
Izmailian, N. Sh. [1 ,2 ,3 ,4 ]
Hu, Chin-Kum [2 ,5 ,6 ]
机构
[1] Yerevan Phys Inst, Yerevan 375036, Armenia
[2] Acad Sinica, Inst Phys, Taipei 11529, Taiwan
[3] Yerevan State Univ, Int Ctr Adv Study, Yerevan 375025, Armenia
[4] Natl Taiwan Univ, Div Phys, Natl Ctr Theoret Sci Taipei, Taipei 10617, Taiwan
[5] Chung Yuan Christian Univ, Ctr Nonlinear & Complex Syst, Chungli 320, Taiwan
[6] Chung Yuan Christian Univ, Dept Phys, Chungli 320, Taiwan
关键词
UNIVERSAL SCALING FUNCTIONS; RENORMALIZATION-GROUP METHOD; BOND-CORRELATED PERCOLATION; 2-DIMENSIONAL ISING-MODEL; HARD-CORE PARTICLES; MONTE-CARLO; STATISTICAL-MECHANICS; PHASE-TRANSITIONS; OPERATOR CONTENT; CENTRAL CHARGE;
D O I
10.1016/j.nuclphysb.2008.09.009
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 study the influence of boundary conditions on the finite-size corrections of a one-dimensional (I D) quantum spin model by exact and perturbative theoretic calculations. We obtain two new infinite sets of universal amplitude ratios for the finite-size correction terms of the I D quantum spin model of N sites with free and antiperiodic boundary conditions. The results for the lowest two orders are in perfect agreement with a perturbative conformal field theory scenario proposed by Cardy [J. Cardy, Nucl. Phys. B 270 (1986) 186]. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码:613 / 624
页数:12
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