Probing the Almeida-Thouless line away from the mean-field model

被引：73

作者：

Katzgraber, HG ^{[1
]}

Young, AP

机构：

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

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

来源：

PHYSICAL REVIEW B | 2005年 / 72卷 / 18期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevB.72.184416

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Results of Monte Carlo simulations of the one-dimensional long-range Ising spin glass with power-law interactions in the presence of a (random) field are presented. By tuning the exponent of the power-law interactions, we are able to scan the full range of possible behaviors from the infinite-range (Sherrington-Kirkpatrick) model to the short-range model. A finite-size scaling analysis of the correlation length indicates that the Almeida-Thouless line does not occur in the region with non-mean-field critical behavior in zero field. However, there is evidence that an Almeida-Thouless line does occur in the mean-field region.

引用

页数：5

共 26 条

[1] Critical behavior of the three-dimensional Ising spin glass [J].

Ballesteros, HG ;

Cruz, A ;

Fernández, LA ;

Martín-Mayor, V ;

Pech, J ;

Ruiz-Lorenzo, JJ ;

Tarancón, A ;

Téllez, P ;

Ullod, CL ;

Ungil, C .

PHYSICAL REVIEW B, 2000, 62 (21) :14237-14245

[2] SEARCH FOR A TRANSITION IN THE 3-DIMENSIONAL +/- J ISING SPIN-GLASS [J].

BHATT, RN ;

YOUNG, AP .

PHYSICAL REVIEW LETTERS, 1985, 54 (09) :924-927

[3] Numerical study of the Sherrington-Kirkpatrick model in a magnetic field [J].

Billoire, A ;

Coluzzi, B .

PHYSICAL REVIEW E, 2003, 68 (02) :13

[4] Magnetic field chaos in the Sherrington-Kirkpatrick model [J].

Billoire, A ;

Coluzzi, B .

PHYSICAL REVIEW E, 2003, 67 (03) :8

[5] CRITICAL PROPERTIES FROM MONTE-CARLO COARSE GRAINING AND RENORMALIZATION [J].

BINDER, K .

PHYSICAL REVIEW LETTERS, 1981, 47 (09) :693-696

[6] LOWER CRITICAL DIMENSION OF METALLIC VECTOR SPIN-GLASSES [J].

BRAY, AJ ;

MOORE, MA ;

YOUNG, AP .

PHYSICAL REVIEW LETTERS, 1986, 56 (24) :2641-2644

[7] De Almeida-Thouless line in the four dimensional Ising spin glass [J].

Ciria, J.C. ;

Parisi, G. ;

Ritort, F. ;

Ruiz-Lorenzo, J.J. .

Journal De Physique, I, 1993, 3 (11)

[8] SOLVING PHI-4(1,2) FIELD-THEORY WITH MONTE-CARLO [J].

COOPER, F ;

FREEDMAN, B ;

PRESTON, D .

NUCLEAR PHYSICS B, 1982, 210 (02) :210-228

[9] STABILITY OF SHERRINGTON-KIRKPATRICK SOLUTION OF A SPIN GLASS MODEL [J].

DEALMEIDA, JRL ;

THOULESS, DJ .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1978, 11 (05) :983-990

[10] EQUILIBRIUM BEHAVIOR OF THE SPIN-GLASS ORDERED PHASE [J].

FISHER, DS ;

HUSE, DA .

PHYSICAL REVIEW B, 1988, 38 (01) :386-411

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