Thermodynamic glass transition in a spin glass without time-reversal symmetry

被引：51

作者：

Alvarez Banos, Raquel ^{[3
,4
]}

Cruz, Andres ^{[3
,4
]}

Antonio Fernandez, Luis ^{[3
,5
]}

Miguel Gil-Narvion, Jose ^{[3
]}

Gordillo-Guerrero, Antonio ^{[3
,6
]}

Guidetti, Marco ^{[3
]}

Iniguez, David ^{[3
,7
]}

Maiorano, Andrea ^{[1
,2
,3
]}

Marinari, Enzo ^{[1
,2
]}

Martin-Mayor, Victor ^{[3
,5
]}

Monforte-Garcia, Jorge ^{[3
,4
]}

Munoz Sudupe, Antonio ^{[5
]}

Navarro, Denis ^{[8
]}

Parisi, Giorgio ^{[1
,2
]}

Perez-Gaviro, Sergio ^{[3
]}

Jesus Ruiz-Lorenzo, Juan ^{[3
,9
]}

Fabio Schifano, Sebastiano ^{[10
,11
]}

Seoane, Beatriz ^{[3
,5
]}

Tarancon, Alfonso ^{[3
,4
]}

Tellez, Pedro ^{[4
]}

Tripiccione, Raffaele ^{[10
,11
]}

Yllanes, David ^{[3
,5
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Fis, IPCF CNR, I-00185 Rome, Italy

[2] INFN, I-00185 Rome, Italy

[3] Inst Biocomp & Fis Sistemas Complejos BIFI, Zaragoza 50009, Spain

[4] Univ Zaragoza, Dept Fis Teor, E-50009 Zaragoza, Spain

[5] Univ Complutense, Dept Fis Teor 1, E-28040 Madrid, Spain

[6] Univ Extremadura, Dept Ingn Elect Elect & Automat, E-06071 Caceres, Spain

[7] Fdn Agencia Aragonesa Invest & Desarrollo ARAID, Zaragoza 50009, Spain

[8] Univ Zaragoza, Dept Ingn Elect & Comunicac, Zaragoza 50018, Spain

[9] Univ Extremadura, Dept Fis, E-06071 Badajoz, Spain

[10] Univ Ferrara, Dipartmento Fis, I-44122 Ferrara, Italy

[11] INFN, Sez Ferrara, I-44122 Ferrara, Italy

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 2012年 / 109卷 / 17期

关键词：

de Almeida-Thouless line; critical exponents; parallel tempering; scaling corrections; BEHAVIOR;

D O I：

10.1073/pnas.1203295109

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Spin glasses are a longstanding model for the sluggish dynamics that appear at the glass transition. However, spin glasses differ from structural glasses in a crucial feature: they enjoy a time reversal symmetry. This symmetry can be broken by applying an external magnetic field, but embarrassingly little is known about the critical behavior of a spin glass in a field. In this context, the space dimension is crucial. Simulations are easier to interpret in a large number of dimensions, but one must work below the upper critical dimension (i.e., in d < 6) in order for results to have relevance for experiments. Here we show conclusive evidence for the presence of a phase transition in a four-dimensional spin glass in a field. Two ingredients were crucial for this achievement: massive numerical simulations were carried out on the Janus special-purpose computer, and a new and powerful finite-size scaling method.

引用

页码：6452 / 6456

页数：5

共 45 条

[1] Static versus Dynamic Heterogeneities in the D=3 Edwards-Anderson-Ising Spin Glass [J].

Alvarez Banos, R. ;

Cruz, A. ;

Fernandez, L. A. ;

Gil-Narvion, J. M. ;

Gordillo-Guerrero, A. ;

Guidetti, M. ;

Maiorano, A. ;

Mantovani, F. ;

Marinari, E. ;

Martin-Mayor, V. ;

Monforte-Garcia, J. ;

Munoz Sudupe, A. ;

Navarro, D. ;

Parisi, G. ;

Perez-Gaviro, S. ;

Ruiz-Lorenzo, J. J. ;

Schifano, S. F. ;

Seoane, B. ;

Tarancon, A. ;

Tripiccione, R. ;

Yllanes, D. .

PHYSICAL REVIEW LETTERS, 2010, 105 (17)

[2]

Amit D J., 2005, Field theory, the renormalization group, and critical phenomena: graphs to computers, V3rd edn

[3]

[Anonymous], 1993, SPIN GLASSES EXPT IN

[4] 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

[5] New universality class in three dimensions? The antiferromagnetic RP(2) model [J].

Ballesteros, HG ;

Fernandez, LA ;

MartinMayor, V ;

Sudupe, AM .

PHYSICS LETTERS B, 1996, 378 (1-4) :207-212

[6] Nature of the spin-glass phase at experimental length scales [J].

Banos, R. Alvarez ;

Cruz, A. ;

Fernandez, L. A. ;

Gil-Narvion, J. M. ;

Gordillo-Guerrero, A. ;

Guidetti, M. ;

Maiorano, A. ;

Mantovani, F. ;

Marinari, E. ;

Martin-Mayor, V. ;

Monforte-Garcia, J. ;

Sudupe, A. Munoz ;

Navarro, D. ;

Parisi, G. ;

Perez-Gaviro, S. ;

Ruiz-Lorenzo, J. J. ;

Schifano, S. F. ;

Seoane, B. ;

Tarancon, A. ;

Tripiccione, R. ;

Yllanes, D. .

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2010,

[7] Simulating spin systems on IANUS, an FPGA-based computer [J].

Belletti, F. ;

Cotallo, M. ;

Cruz, A. ;

Fernandez, L. A. ;

Gordillo, A. ;

Maiorano, A. ;

Mantovani, F. ;

Marinari, E. ;

Martin-Mayor, V. ;

Munoz-Sudupe, A. ;

Navarro, D. ;

Perez-Gaviro, S. ;

Ruiz-Lorenzo, J. J. ;

Schifano, S. F. ;

Sciretti, D. ;

Tarancon, A. ;

Tripiccione, R. ;

Velasco, J. L. .

COMPUTER PHYSICS COMMUNICATIONS, 2008, 178 (03) :208-216

[8] Nonequilibrium Spin-Glass Dynamics from Picoseconds to a Tenth of a Second [J].

Belletti, F. ;

Cotallo, M. ;

Cruz, A. ;

Fernandez, L. A. ;

Gordillo-Guerrero, A. ;

Guidetti, M. ;

Maiorano, A. ;

Mantovani, F. ;

Marinari, E. ;

Martin-Mayor, V. ;

Sudupe, A. Munoz ;

Navarro, D. ;

Parisi, G. ;

Perez-Gaviro, S. ;

Ruiz-Lorenzo, J. J. ;

Schifano, S. F. ;

Sciretti, D. ;

Tarancon, A. ;

Tripiccione, R. ;

Velasco, J. L. ;

Yllanes, D. .

PHYSICAL REVIEW LETTERS, 2008, 101 (15)

[9] Finite-size scaling analysis of the distributions of pseudo-critical temperatures in spin glasses [J].

Billoire, A. ;

Fernandez, L. A. ;

Maiorano, A. ;

Marinari, E. ;

Martin-Mayor, V. ;

Yllanes, D. .

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2011,

[10] RENORMALIZATION-GROUP APPROACH TO THE SPIN GLASS-TRANSITION IN FINITE MAGNETIC-FIELDS [J].

BRAY, AJ ;

ROBERTS, SA .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1980, 13 (29) :5405-5412

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