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VOLUME 67 (1998) | ISSUE 6 | PAGE 415
Diluted generalized random energy model
PACS: 75.10.Nr
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.