H Feldmann and R Oppermann 2000 J. Phys. A: Math. Gen. 33 1325 doi:10.1088/0305-4470/33/7/303
H Feldmann and R Oppermann
Show affiliationsWe solve the fermionic version of the Ising spin glass for arbitrary filling µ and temperature T taking into account replica symmetry breaking. Using a simple exact mapping from µ to the anisotropy parameter D , we also obtain the solution of the S = 1 Sherrington-Kirkpatrick model. An analytic expression for T = 0 gives an improved critical value for the first-order phase transition. We revisit the question of stability against replica-diagonal fluctuations and find that the appearance of complex eigenvalues of the Almeida-Thouless matrix is not an artefact of the replica-symmetric approximation.
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
82D30 Random media, disordered materials (including liquid crystals and spin glasses)
Issue 7 (25 February 2000)
Received 27 September 1999
H Feldmann and R Oppermann 2000 J. Phys. A: Math. Gen. 33 1325
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