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A mean-field approximation is used to investigate the quantum transverse Ising spin-glass model in the Edwards-Anderson version. We introduce two order parameters, diagonal and off diagonal in replica indices, and discuss their physical significance. The effective free-energy function is obtained, and the critical value of the transverse field Γ at zero temperature is calculated. We find the behavior of the order parameters near the zero-temperature critical point. The phase diagram in the Γ,T plane is also given.
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Walasek et al. (1986) studied this question.
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