Abstract
We calculate `inherent structures' (configurations corresponding to local potential energy minima) in the ± J Ising spin glass over a wide range of temperature T in two and three dimensions. We find that the T -dependence of the average value of the inherent-structure energy E is strikingly similar to that shown recently for a glass-forming liquids. E decreases with T only weakly at high T , but begins to decrease much more rapidly as the spin-glass transition temperature T sg is approached. As in the liquid, we find that the rapid decrease of E with decreasing T occurs in the regime of T in which the relaxation of the spin autocorrelation function becomes increasingly non-exponential. In addition, we show that the inherent structures of the spin glass can be used to identify clusters of strongly correlated `frozen' spins, and that an incipient percolating cluster of these spins appears (within numerical error) at T = T sg .
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