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Title:
Temperature Chaos and Bond Chaos in Edwards-Anderson Ising Spin Glasses: Domain-Wall Free-Energy Measurements
Authors:
Sasaki, M.; Hukushima, K.; Yoshino, H.; Takayama, H.
Affiliation:
AA(Institute for Solid State Physics, University of Tokyo, Kashiwa-no-ha 5-1-5, Kashiwa, 277-8581, Japan), AB(Department of Basic Science, University of Tokyo, Tokyo 153-8902, Japan), AC(Department of Earth and Space, Osaka University, Toyonaka 560-0043, Japan; Laboratoire de Physique Théorique et Hautes Energies, Jussieu, 75252 Paris Cedex 05, France), AD(Institute for Solid State Physics, University of Tokyo, Kashiwa-no-ha 5-1-5, Kashiwa, 277-8581, Japan)
Publication:
Physical Review Letters, vol. 95, Issue 26, id. 267203 (PhRvL Homepage)
Publication Date:
12/2005
Origin:
APS
PACS Keywords:
Spin-glass and other random models, Monte Carlo methods, Numerical simulation studies
Abstract Copyright:
(c) 2005: The American Physical Society
DOI:
10.1103/PhysRevLett.95.267203
Bibliographic Code:
2005PhRvL..95z7203S

Abstract

Domain-wall free energy δF, entropy δS, and the correlation function Ctemp of δF are measured independently in the four-dimensional ±J Edwards-Anderson (EA) Ising spin glass. The stiffness exponent θ, the fractal dimension of domain walls ds, and the chaos exponent ζ are extracted from the finite-size scaling analysis of δF, δS, and Ctemp, respectively, well inside the spin-glass phase. The three exponents are confirmed to satisfy the scaling relation ζ=ds/2-θ derived by the droplet theory within our numerical accuracy. We also study bond chaos induced by random variation of bonds, and find that the bond and temperature perturbations yield the universal chaos effects described by a common scaling function and the chaos exponent. These results strongly support the appropriateness of the droplet theory for the description of chaos effect in the EA Ising spin glasses.
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