Test of universality in the Ising spin glass using high temperature graph expansion

D. Daboul (), I. Chang and A. Aharony

The European Physical Journal B: Condensed Matter and Complex Systems, 2004, vol. 41, issue 2, 231-254

Abstract: We calculate high-temperature graph expansions for the Ising spin glass model with 4 symmetric random distribution functions for its nearest neighbor interaction constants J ij . Series for the Edwards-Anderson susceptibility $\chi_{\mbox{}_\mathrm{EA}}$ are obtained to order 13 in the expansion variable (J/(k B T)) 2 for the general d-dimensional hyper-cubic lattice, where the parameter J determines the width of the distributions. We explain in detail how the expansions are calculated. The analysis, using the Dlog-Padé approximation and the techniques known as M1 and M2, leads to estimates for the critical threshold (J/(k B T c )) 2 and for the critical exponent $\gamma$ in dimensions 4, 5, 7 and 8 for all the distribution functions. In each dimension the values for $\gamma$ agree, within their uncertainty margins, with a common value for the different distributions, thus confirming universality. Copyright Springer-Verlag Berlin/Heidelberg 2004

Date: 2004
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1140/epjb/e2004-00315-6 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:41:y:2004:i:2:p:231-254

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/e2004-00315-6

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().