Heisenberg spin glass on a hypercubic cell

Daniel A. Stariolo

Physica A: Statistical Mechanics and its Applications, 1998, vol. 253, issue 1, 1-8

Abstract: We present results of a Monte Carlo simulation of a Heisenberg spin glass model on a hypercubic cell of size 2 in D dimensions. Each spin interacts with D nearest-neighbors and the lattice is expected to recover the completely connected (mean field) limit as D→∞. An analysis of the Binder parameter for D=8,9 and 10 shows clear evidence of the presence of a spin glass phase at low temperatures. We found that in the high temperature regime the inverse spin glass susceptibility grows linearly with T2 as in the mean field case. Estimates of Tc from the high temperature data are in very good agreement with the results of a Bethe–Peierls approximation for an Heisenberg spin glass with coordination number D.

Date: 1998
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437197006857
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

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:eee:phsmap:v:253:y:1998:i:1:p:1-8

DOI: 10.1016/S0378-4371(97)00685-7

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().