Journal
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
Volume 115, Issue 20, Pages 5129-5134Publisher
NATL ACAD SCIENCES
DOI: 10.1073/pnas.1720832115
Keywords
spin glasses; barriers; correlations
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Funding
- European Research Council under European Union [694925]
- European Research Council (ERC) [694925] Funding Source: European Research Council (ERC)
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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.
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