Katzgraber, Helmut G., Liers, Frauke, Hartmann, Alexander K., Körner, Mathias, Hartmann, Alexander K. and Jünger, Michael (2005). Universality-class dependence of energy distributions in spin glasses. Physical Review B, 72 (9). 094421. APS.

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Abstract

We study the probability distribution function of the ground-state energies of the disordered one-dimensional Ising spin chain with power-law interactions using a combination of parallel tempering Monte Carlo and branch, cut & price algorithms. By tuning the exponent of the power-law interactions we are able to scan several universality classes. Our results suggest that mean-field models have a non-Gaussian limiting distribution of the ground-state energies, whereas non-mean-field models have a Gaussian limiting distribution.

Item Type: Article
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Katzgraber, Helmut G.
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Liers, Frauke
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Hartmann, Alexander K.
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Körner, Mathias
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Hartmann, Alexander K.
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Jünger, Michael
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URN: urn:nbn:de:hbz:38-548843
Journal or Publication Title: Physical Review B
Volume: 72
Number: 9
Page Range: 094421
Date: 2005
Publisher: APS
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/54884

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