Support for the value 5/2 for the spin glass lower critical dimension at zero magnetic field

被引：20

作者：

Maiorano, Andrea ^{[1
,2
]}

Parisi, Giorgio ^{[1
,3
]}

机构：

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

[2] Inst Biocomp & Fis Sistmas Complejos BIFI, Zaragoza 50018, Spain

[3] CNR, Inst Nanotechnol Nanotec, Sez Roma 1, Ist Nazl Fis Nucl, I-00185 Rome, Italy

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 2018年 / 115卷 / 20期

基金：

欧洲研究理事会;

关键词：

spin glasses; barriers; correlations; RENORMALIZATION-GROUP; EXPONENTS; BEHAVIOR;

D O I：

10.1073/pnas.1720832115

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：

We study numerically various properties of the free energy barriers in the Edwards-Anderson model of spin glasses in the low-temperature region in both three and four spatial dimensions. In particular, we investigated the dependence of height of free energy barriers on system size and on the distance between the initial and final states (i.e., the overlap distance). A related quantity is the distribution of large local fluctuations of the overlap in large 3D samples at equilibrium. Our results for both quantities (barriers and large deviations) are in agreement with the prediction obtained in the framework of mean-field theory. In addition, our result supports D-lc = 2.5 as the lower critical dimension of the model.

引用

页码：5129 / 5134

页数：6

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