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

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

1999-04-21

arxiv.org/abs/cond-mat/9904296v2

Phys. Rev. E 60, 5135 (1999)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 3 figures, 31 references, revtex; update of references

Scientific paper

10.1103/PhysRevE.60.5135

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^{\Theta} behavior with \Theta=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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