Rieger, Heiko, Santen, Ludger, Blasum, Ulrich, Diehl, Martin, Jünger, Michael and Rinaldi, Giovanni ORCID: 0000-0003-0148-2470 (1996). The critical exponents of the two-dimensional Ising spin glass revisited: Exact Ground State Calculations and Monte Carlo Simulations. Journal of physics : A, Mathematical and general, 29 (14). pp. 3939-3950. IOP Publ..

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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 .

Item Type: Article
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Rieger, Heiko
UNSPECIFIED
UNSPECIFIED
UNSPECIFIED
Santen, Ludger
UNSPECIFIED
UNSPECIFIED
UNSPECIFIED
Blasum, Ulrich
UNSPECIFIED
UNSPECIFIED
UNSPECIFIED
Diehl, Martin
UNSPECIFIED
UNSPECIFIED
UNSPECIFIED
Jünger, Michael
UNSPECIFIED
UNSPECIFIED
UNSPECIFIED
Rinaldi, Giovanni
UNSPECIFIED
UNSPECIFIED
URN: urn:nbn:de:hbz:38-547543
Journal or Publication Title: Journal of physics : A, Mathematical and general
Volume: 29
Number: 14
Page Range: pp. 3939-3950
Date: 1996
Publisher: IOP Publ.
Language: English
Faculty: Faculty of Mathematics and Natural Sciences
Divisions: Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Institute of Computer Science
Subjects: Data processing Computer science
Refereed: No
URI: http://kups.ub.uni-koeln.de/id/eprint/54754

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