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International Journal of Modern Physics C

SPIN GLASS GROUNDSTATE INVESTIGATION BY MULTICANONICAL ENSEMBLE

Ulrich H. E. Hansmann, Bernd A. Berg

Published Apr 1, 1994• 2 citations
Publisher

Abstract

We study the 3d Edwards-Anderson Ising spin glass on finite lattices by multicanonical ensemble. Performing simulations of this ensemble enables to generate large numbers of groundstate configurations in thermal equilibrium.
DOI
10.1142/s0129183194000283

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We report a high-precision finite-size scaling study of the critical behavior of the three-dimensional Ising Edwards-Anderson model (the Ising spin glass). We have thermalized lattices up to L=40L=40L=40 using the Janus dedicated computer. Our analysis takes into account leading-order corrections to scaling. We obtain Tc=1.1019(29){T}_{\mathrm{c}}=1.1019(29)Tc​=1.1019(29) for the critical temperature, $\ensuremath{\nu}=2.562(42)$ for the thermal exponent, $\ensuremath{\eta}=\ensuremath{-}0.3900(36)$ for the anomalous dimension, and $\ensuremath{\omega}=1.12(10)$ for the exponent of the leading corrections to scaling. Standard (hyper)scaling relations yield $\ensuremath{\alpha}=\ensuremath{-}5.69(13)$, $\ensuremath{\beta}=0.782(10)$, and $\ensuremath{\gamma}=6.13(11)$. We also compute several universal quantities at Tc{T}_{\mathrm{c}}Tc​.