Abstract

A method is developed to solve the Sherrington-Kirkpatrick infinite-ranged spin-glass model, considering the staggered magnetizations associated with the eigenvalue spectrum of the random interaction matrix as the spin-glass order parameters. It is shown that the spin-glass ordering is not associated with a macroscopic condensation of eigenstates, but instead each of the $N$ eigenstates acquires, below ${T}_{c}$, nonzero magnetization of $O(1)$.

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