Short range corrections to the order parameter and to the excitation spectrum of the Ising spin glass

Imre Kondor (), C. De Dominics and T. Temesvári

Physica A: Statistical Mechanics and its Applications, 1992, vol. 185, issue 1, 295-304

Abstract: A consistent loop expansion around Parisi's replica symmetry breaking mean field theory for the Ising spin glass is constructed. Above the upper critical dimension d = 6 the short range corrections can be absorbed into the parameters of a Ginzburg-Landau type free energy functional whereby the d < ∞ dimensional theory can be mapped back onto mean field theory. For d > 8 the map is regular, thus mean field exponents are preserved, only prefactors are modified. For 6 < d < 8 the order parameter and the spectrum acquire non-trivial exponents which can still be calculated exactly. In the limit d →6 + 0 scaling is restored.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:185:y:1992:i:1:p:295-304

DOI: 10.1016/0378-4371(92)90468-6

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