Fermionic TAP-equations

dc.creatorRehker, Martin
dc.creatorOppermann, Reinhold
dc.date1998-06-07
dc.date.accessioned2026-07-07T03:10:47Z
dc.date.available2026-07-07T03:10:47Z
dc.descriptionWe derive the TAP equations for the fermionic Ising spin glass. It is found that, just as in the non-fermionic model, the conditions for stability and for validity of the free energy are equivalent. We determine the breakdown of the paramagnetic phase. Numeric solutions of the fermionic TAP-equations at T=0 allowed to localize a first order transition between the spin glass phase and the paramagnetic phase at $μ\approx 0.8$. We computed at zero temperature the filling factor $ν(μ)$ and the distribution of internal fields. The saddle-point equations resulting from the calculation of the number of solutions to the TAP-equations were found to be much more complicated as in the non-fermionic case.
dc.description10 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9806092
dc.identifierhttp://arxiv.org/abs/cond-mat/9806092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/28338
dc.subjectDisordered Systems and Neural Networks
dc.titleFermionic TAP-equations
dc.typetext

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