期刊
JOURNAL OF STATISTICAL PHYSICS
卷 163, 期 5, 页码 1069-1078出版社
SPRINGER
DOI: 10.1007/s10955-016-1516-x
关键词
Spin glasses; Edwards-Anderson model; Energy; Variance bounds
资金
- NSF [DMS-1513441]
- PSC-CUNY Research Award [68784-00 46]
- U.S. NSF [DMS-1207678, DMS-131271, DMS-1440140]
- John Simon Guggenheim Foundation Fellowship
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1513441, 1312711] Funding Source: National Science Foundation
We consider the energy difference restricted to a finite volume for certain pairs of incongruent ground states (if they exist) in the d-dimensional Edwards-Anderson Ising spin glass at zero temperature. We prove that the variance of this quantity with respect to the couplings grows proportionally to the volume in any d >= 2. An essential aspect of our result is the use of the excitation metastate. As an illustration of potential applications, we use this result to restrict the possible structure of spin glass ground states in two dimensions.
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