The critical exponents of the two-dimensional Ising spin glass revisited: Exact Ground State Calculations and Monte Carlo Simulations

Rieger, Heiko and Santen, Ludger and Blasum, Ulrich and Diehl, Martin and Jünger, Michael and Rinaldi, Giovanni (1996) The critical exponents of the two-dimensional Ising spin glass revisited: Exact Ground State Calculations and Monte Carlo Simulations.
Published in: Journal of physics : A, Mathematical and general Vol. 29 (14). pp. 3939-3950.

Abstract

The critical exponents for T -> 0 of the two-dimensional Ising spin glass model with Gaussian couplings are determined with the help of exact ground states for system sizes up to L=50 and by a Monte Carlo study of a pseudo-ferromagnetic order parameter. We obtain: for the stiffness exponent y(= heta)=-0.281 ±0.002 , for the magnetic exponent delta=1.48 ±0.01 and for the chaos exponent zeta=1.05 ±0.05 . From Monte Carlo simulations we get the thermal exponent u=3.6 ±0.2 . The scaling prediction y=-1/u is fulfilled within the error bars, whereas there is a disagreement with the relation y=1-delta .


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Item Type: Article
Citations: [error in script] 103 (Google Scholar) | [error in script]
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Subjects:
Uncontrolled Keywords: branch-and-cut, critical exponents, Monte Carlo method, spin glasses
Subjects: UNSPECIFIED
Divisions: Institute of Computer Science > Computer Science Department - Prof. Dr. Juenger
Depositing User: Ulrich Blasum
Date Deposited: 08 May 2003 00:00
Last Modified: 19 Jan 2012 10:00
Deposit Information:
ZAIK Number: [error in script]
Depositing User: Ulrich Blasum
Date Deposited: 08 May 2003 00:00
Last Modified: 19 Jan 2012 10:00
URI: http://e-archive.informatik.uni-koeln.de/id/eprint/231