Europhys. Lett.
Volume 74, Number 4, May 2006
Page(s) 699 - 705
Section Condensed matter: electronic structure, electrical, magnetic, and optical properties
Published online 05 April 2006
Europhys. Lett., 74 (4), pp. 699-705 (2006)
DOI: 10.1209/epl/i2005-10564-5

Numerical studies of the compressible Ising spin glass

A. H. Marshall1, B. Chakraborty2 and S. Nagel1

1  The James Franck Institute and Department of Physics, University of Chicago Chicago, IL 60637, USA
2  The Martin Fisher School of Physics, Brandeis University Waltham, MA 02454, USA

received 11 November 2005; accepted in final form 12 March 2006
published online 5 April 2006

We study a two-dimensional compressible Ising spin glass at constant volume. The spin interactions are coupled to the distance between neighboring particles in the Edwards-Anderson model with $\pm J$ interactions. We find that the energy of a given spin configuration is shifted from its incompressible value, E0, by an amount quadratic in E0 and proportional to the coupling strength. We then construct a simple model expressed only in terms of spin variables that predicts the existence of a critical value of the coupling above which the spin-glass transition cannot exist.

75.10.Nr - Spin-glass and other random models.
75.40.Mg - Numerical simulation studies.
05.50.+q - Lattice theory and statistics (Ising, Potts, etc.).

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