Diluted Generalized Random Energy Model

Abstract

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.

minor change have been made

Cited by in corpus (6)

• Finite-connectivity systems as error-correcting codes
• Finite size effects and error-free communication in Gaussian channels
• Replica symmetry breaking, complexity and spin representation in the generalized random energy model
• Random Energy Model at Complex Temperatures
• Vectorial velocity filter for ultracold neutrons based on a surface-disordered mirror system
• Complex temperatures zeroes of partition function in spin-glass models