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Physical observables of the Ising spin glass in 6-epsilon dimensions: asymptotical behavior around the critical fixed point (1612.09211v2)

Published 29 Dec 2016 in cond-mat.dis-nn and cond-mat.stat-mech

Abstract: The asymptotical behavior of physical quantities, like the order parameter, the replicon and longitudinal masses, is studied around the zero-field spin glass transition point when a small external magnetic field is applied. An effective field theory to model this asymptotics contains a small perturbation in its Lagrangian which breaks the zero-field symmetry. A first order renormalization group supplemented by perturbational results provides the scaling functions. The perturbative zero of the scaling function for the replicon mass defines a generic Almeida-Thouless surface stemming from the zero-field fixed point.

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