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Calculation of ground states of four-dimensional +or- J Ising spin glasses

Alexander K. Hartmann
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Abstract

Ground states of four-dimensional (d=4) EA Ising spin glasses are calculated for sizes up to 7x7x7x7 using a combination of a genetic algorithm and cluster-exact approximation. The ground-state energy of the infinite system is extrapolated as e_0=-2.095(1). The ground-state stiffness (or domain wall) energy D is calculated. A D~L^Θ behavior with Θ=0.65(4) is found which confirms that the d=4 model has an equilibrium spin-glass-paramagnet transition for non-zero T_c.

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Alexander K. Hartmann. 1999-04-27. Calculation of ground states of four-dimensional +or- J Ising spin glasses. https://doi.org/10.1103/physreve.60.5135

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