Fermionic TAP-equations

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We 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.
10 pages, 6 figures

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Disordered Systems and Neural Networks

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http://salesiana.dossiersoluciones.com/handle/123456789/28338

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/9806092
 http://arxiv.org/abs/cond-mat/9806092

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arXiv