Chaos in spin glasses revealed through thermal boundary conditions

作     者：Wenlong Wang Jonathan Machta Helmut G. Katzgraber 

作者机构：Department of Physics University of Massachusetts Amherst Massachusetts 01003 USA Santa Fe Institute 1399 Hyde Park Road Santa Fe New Mexico 87501 USA Department of Physics and Astronomy Texas A&M University College Station Texas 77843-4242 USA Materials Science and Engineering Program Texas A&M University College Station Texas 77843 USA 

出 版 物：《Physical Review B》 (物理学评论B辑：凝聚态物质与材料物理学)

年 卷 期：2015年第92卷第9期

页      面：094410-094410页

核心收录：

学科分类：07[理学] 0702[理学-物理学] 

基　　金：National Science Foundation, NSF, (DMR-1208046) National Science Foundation, NSF, (1208046, 1151387) European Commission, EC, (612707) 

主　　题：SPIN glasses BOUNDARY value problems TEMPERATURE effect PERTURBATION (Mathematics) ANNEALING of glass GIBBS' free energy 

摘      要：We study the fragility of spin glasses to small temperature perturbations numerically using population annealing Monte Carlo. We apply thermal boundary conditions to a three-dimensional Edwards-Anderson Ising spin glass. In thermal boundary conditions all eight combinations of periodic versus antiperiodic boundary conditions in the three spatial directions are present, each appearing in the ensemble with its respective statistical weight determined by its free energy. We show that temperature chaos is revealed in the statistics of crossings in the free energy for different boundary conditions. By studying the energy difference between boundary conditions at free-energy crossings, we determine the domain-wall fractal dimension. Similarly, by studying the number of crossings, we determine the chaos exponent. Our results also show that computational hardness in spin glasses and the presence of chaos are closely related.