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arxiv: cond-mat/0005029 · v1 · submitted 2000-05-01 · ❄️ cond-mat.stat-mech · cond-mat.dis-nn

Zero-temperature TAP equations for the Ghatak-Sherrington model

classification ❄️ cond-mat.stat-mech cond-mat.dis-nn
keywords determinedequationsfunctionghatak-sherringtonmodelnumberspin-glasszero-temperature
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The zero-temperature TAP equations for the spin-1 Ghatak-Sherrington model are investigated. The spin-glass energy density (ground state) is determined as a function of the anisotropy crystal field $D$ for a large number of spins. This allows us to locate a first-order transition between the spin-glass and paramagnetic phases within a good accuracy. The total number of solutions is also determined as a function of $D$.

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