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

来源：

NUCLEAR PHYSICS B | 2009年 / 808卷 / 03期

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

页码：613 / 624

页数：12

共 50 条

[1] ARITHMETICAL FINITE-SIZE CORRECTIONS IN ONE-DIMENSIONAL QUANTUM-SYSTEMS
AUDIT, P
TRUONG, TT
PHYSICS LETTERS A, 1990, 145 (6-7) : 309 - 313
[2] Universality of finite-size corrections to geometrical entanglement in one-dimensional quantum critical systems
Xi-Jing Liu
Bing-Quan Hu
Sam Young Cho
Huan-Qiang Zhou
Qian-Qian Shi
Journal of the Korean Physical Society, 2016, 69 : 1212 - 1218
[3] Universality of finite-size corrections to geometrical entanglement in one-dimensional quantum critical systems
Liu, Xi-Jing
Hu, Bing-Quan
Cho, Sam Young
Zhou, Huan-Qiang
Shi, Qian-Qian
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2016, 69 (07) : 1212 - 1218
[4] Finite-size corrections in the Ising model with special boundary conditions
Izmailian, N. Sh
NUCLEAR PHYSICS B, 2010, 839 (03) : 446 - 465
[5] MODIFIED BOUNDARY-CONDITIONS AND FINITE-SIZE SCALING FOR THE ONE-DIMENSIONAL SPIN-1/2 DIMERIZED XY MODEL
SPRONKEN, G
KEMP, M
PHYSICAL REVIEW B, 1986, 34 (11) : 8038 - 8049
[6] Quantum phase transition and finite-size scaling of the one-dimensional Ising model
Um, Jaegon
Lee, Sung-Ik
Kim, Beom Jun
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2007, 50 (01) : 285 - 289
[7] Finite-Size Effects of the One-Dimensional Ising Model
Ferreira, L. S.
Plascak, J. A.
BRAZILIAN JOURNAL OF PHYSICS, 2023, 53 (03)
[8] Finite-Size Effects of the One-Dimensional Ising Model
L. S. Ferreira
J. A. Plascak
Brazilian Journal of Physics, 2023, 53
[9] Finite-size corrections to defect energetics along one-dimensional configuration coordinate
Kumagai Y.
Physical Review B, 2023, 107 (22)
[10] Spin correlations and finite-size effects in the one-dimensional Kondo box
Hand, Thomas
Kroha, Johann
Monien, Hartmut
PHYSICAL REVIEW LETTERS, 2006, 97 (13)

← 1 2 3 4 5 →