Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2004-11-05
Physical Review Letters 95, 267203 (2005)
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 6 figures; The title, the abstract and the text are changed slightly
Scientific paper
10.1103/PhysRevLett.95.267203
Domain-wall free-energy $\delta F$, entropy $\delta S$, and the correlation function, $C_{\rm temp}$, of $\delta F$ are measured independently in the four-dimensional $\pm J$ Edwards-Anderson (EA) Ising spin glass. The stiffness exponent $\theta$, the fractal dimension of domain walls $d_{\rm s}$ and the chaos exponent $\zeta$ are extracted from the finite-size scaling analysis of $\delta F$, $\delta S$ and $C_{\rm temp}$ respectively well inside the spin-glass phase. The three exponents are confirmed to satisfy the scaling relation $\zeta=d_{\rm s}/2-\theta$ 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.
Hukushima Koji
Sasaki Makoto
Takayama Hajime
Yoshino Hajime
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