Diluted Generalized Random Energy Model

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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Scientific paper

10.1134/1.567688

We introduce a layered random spin model, equivalent to the Generalized Random Energy Model (GREM). In analogy with diluted spin systems, a diluted GREM (DGREM) is introduced.It can be applied to calculate approximately thermodynamic properties of spin glass models in low dimensions. For Edwards -Anderson model it gives correct critical dimension and 5% accuracy for ground state energy in 2d.

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