Some considerations of finite dimensional spin glasses

Physics – Condensed Matter – Disordered Systems and Neural Networks

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Contribution to the conference "Viewing the World through Spin Glasses" in honour of Professor David Sherrington on the occasi

Scientific paper

10.1088/1751-8113/41/32/324002

In talk I will review the theoretical results that have been obtained for spin glasses, paying a particular attention to finite dimensional spin glasses. I will concentrate my attention on the formulation of the mean field approach and on its numerical and experimental verifications. I will mainly considered equilibrium properties at zero magnetic field, where the situation is clear and it should be not controversial. I will present the various hypothesis at the basis of the theory and I will discuss their physical status.

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