Universität zu Köln

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..

Preview

PDF zpr96-231.pdf - Draft Version Download (289kB) | Preview

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:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code 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 orcid.org/0000-0003-0148-2470 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