Numerical studies of the compressible Ising spin glassA. 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 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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