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Spin Glasses and Complexity by Charles M. Newman, Daniel L. Stein

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7

SHORT-RANGE SPIN GLASSES: SOME BASIC QUESTIONS

In this chapter we consider realistic spin glass models, in particular the Edwards-Anderson (EA) model introduced in section 4.5. Both the EA and the Sherrington-Kirkpatrick (SK) models are idealizations of the complicated spatial structure of spin-spin interactions in real materials, as discussed in section 4.4. In the EA idealization, the interactions are extremely short range, occurring only between spins that are nearest neighbors in the atomic lattice. This caricatures the actual spatial structure of laboratory spin glasses, but the EA model is nevertheless believed to distill their essential physics.

In contrast, the SK model is bereft of geometric structure and, as discussed in section 5.1, ...

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