Phase diagram of the random energy model with ferromagnetic bias in the presence of a transverse field
نویسنده
چکیده
The phase diagram of the random energy model in a transverse field is investigated. Using the replica method and the static approximation, we show that the phase diagram consists of four phases: Quantum paramagnetic, classical paramagnetic, ferromagnetic, and spin-glass phases. We show that the static approximation is valid in the ferromagnetic phase in the limit p → ∞ by using the large-p expansion. Since the same approximation is already known to be valid in other phases, we conclude that the obtained phase diagram is exact.
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