The Derivation of the Exact Internal Energies for Spin Glass Models by Applying the Gauge Theory to the Fortuin-Kasteleyn Representation - Condensed Matter > Disordered Systems and Neural NetworksReportar como inadecuado




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Abstract: We derive the exact internal energies and the rigorous upper bounds ofspecific heats for several spin glass models by applying the gauge theory tothe Fortuin-Kasteleyn representation which is a representation based on apercolation picture for spin-spin correlation. The results are derived on theNishimori lines which are special lines on the phase diagrams. As the spinglass models, the +-J Ising model and a Potts gauge glass model are studied.The present solutions agree with the previous solutions. The derivation of thesolutions by the present method must be useful for understanding therelationship between the percolation picture for spin-spin correlation and thephysical quantities on the Nishimori line.



Autor: Chiaki Yamaguchi

Fuente: https://arxiv.org/



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