@article{eefc6ac949fb412681064ea17c1a6562,
title = "Zero-Temperature Fluctuations in Short-Range Spin Glasses",
abstract = "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.",
keywords = "Edwards–Anderson model, Energy, Spin glasses, Variance bounds",
author = "Arguin, {L. P.} and Newman, {C. M.} and Stein, {D. L.} and J. Wehr",
note = "Funding Information: The research of L.-P. A. is supported in part by NSF Grant DMS-1513441 and PSC-CUNY Research Award 68784-00 46. The research of CMN is supported in part by U.S. NSF Grant DMS-1207678. The research of DLS is supported in part by U.S. NSF Grant DMS-1207678. A part of his work on this article was supported by a John Simon Guggenheim Foundation Fellowship. The research of JW is supported in part by U.S. NSF Grant DMS-131271. A part of his work on this article was supported by U.S. NSF Grant DMS-1440140 while he was in residence at the Mathematical Sciences Research Institute in Berkeley during the Fall 2015 semester. Publisher Copyright: {\textcopyright} 2016, Springer Science+Business Media New York.",
year = "2016",
month = jun,
day = "1",
doi = "10.1007/s10955-016-1516-x",
language = "English (US)",
volume = "163",
pages = "1069--1078",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer New York",
number = "5",
}