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The Ising Spin Glass in dimension four
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2015 (English)In: Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, E-ISSN 1873-2119, Vol. 434, 181-193 p.Article in journal (Refereed) Published
Abstract [en]

The critical behaviors of the bimodal and Gaussian Ising spin glass (ISG) models in dimension four are studied through extensive numerical simulations, and from an analysis of high temperature series expansion (HTSE) data of Klein et al. (1991). The simulations include standard finite size scaling measurements, thermodynamic limit regime measurements, and analyses which provide estimates of critical exponents without any consideration of the critical temperature. The higher order HTSE series for the bimodal model provide accurate estimates of the critical temperature and critical exponents. These estimates are independent of and fully consistent with the simulation values. Comparisons between ISG models in dimension four show that the critical exponents and the critical constants for dimensionless observables depend on the form of the interaction distribution of the model.

Place, publisher, year, edition, pages
2015. Vol. 434, 181-193 p.
Keyword [en]
Ising, Spin glass, Critical exponents, Universality
National Category
URN: urn:nbn:se:umu:diva-106550DOI: 10.1016/j.physa.2015.04.009ISI: 000356547900018OAI: diva2:842511
Available from: 2015-07-20 Created: 2015-07-20 Last updated: 2015-07-20Bibliographically approved

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Lundow, Per-Håkan
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Department of Mathematics and Mathematical Statistics
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