Correlation length of the two-dimensional Ising spin glass with bimodal interactions

被引：28

作者：

Katzgraber, HG ^{[1
]}

Lee, LW

机构：

[1] ETH Honggerberg, CH-8093 Zurich, Switzerland

[2] Univ Calif Santa Cruz, Dept Phys, Santa Cruz, CA 95064 USA

来源：

PHYSICAL REVIEW B | 2005年 / 71卷 / 13期

关键词：

D O I：

10.1103/PhysRevB.71.134404

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the correlation length of the two-dimensional Edwards-Anderson Ising spin glass with bimodal interactions using a combination of parallel tempering Monte Carlo updates and a rejection-free cluster algorithm in order to speed up equilibration. Our results show that the correlation length grows similar to exp(2J/T) suggesting through hyperscaling that the degenerate ground state is separated from the first excited state by an energy gap similar to 4J, as would naively be expected.

引用

页数：4

共 50 条

[31] Spin–spin correlation length in a two-dimensional frustrated magnet and its relation to doping
A. V. Mikheyenkov
V. E. Valiullin
A. V. Shvartsberg
A. F. Barabanov
[J]. Journal of Experimental and Theoretical Physics, 2015, 121 : 446 - 456
[32] The two-dimensional ±J Ising spin glass:: a model at its lower critical dimension
Nobre, FD
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 319 : 362 - 370
[33] FINITE-SIZE SCALING STUDY OF THE TWO-DIMENSIONAL ISING SPIN-GLASS
HUSE, DA
MORGENSTERN, I
[J]. PHYSICAL REVIEW B, 1985, 32 (05): : 3032 - 3034
[34] Dynamic scaling in the two-dimensional Ising spin glass with normal-distributed couplings
Xu, Na
Wu, Kai-Hsin
Rubin, Shanon J.
Kao, Ying-Jer
Sandvik, Anders W.
[J]. PHYSICAL REVIEW E, 2017, 96 (05)
[35] Evidence for a trivial ground-state structure in the two-dimensional Ising spin glass
Palassini, M
Young, AP
[J]. PHYSICAL REVIEW B, 1999, 60 (14): : R9919 - R9922
[36] Finite-size scaling in two-dimensional Ising spin-glass models
Toldin, Francesco Parisen
Pelissetto, Andrea
Vicari, Ettore
[J]. PHYSICAL REVIEW E, 2011, 84 (05):
[37] SPIN-SPIN CORRELATION IN THE TWO-DIMENSIONAL ISING-MODEL WITH LINEAR DEFECTS AND FREDHOLM EQUATIONS
KO, LF
[J]. PHYSICS LETTERS A, 1988, 131 (4-5) : 285 - 288
[38] Correlation-function distributions at the Nishimori point of two-dimensional Ising spin glasses
de Queiroz, SLA
Stinchcombe, RB
[J]. PHYSICAL REVIEW B, 2003, 68 (14)
[39] Exact algorithm for spin-correlation functions of the two-dimensional ±J Ising spin glass in the ground state -: art. no. 104422
Poulter, J
Blackman, JA
[J]. PHYSICAL REVIEW B, 2005, 72 (10):
[40] Residual entropy of a two-dimensional Ising model with crossing and four-spin interactions
Li, De-Zhang
Zhao, Yu-Jun
Yao, Yao
Yang, Xiao-Bao
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2023, 64 (04)

← 1 2 3 4 5 →