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arXiv · 1612.09211

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

Tamás Temesvári
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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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Tamás Temesvári. 2016-12-29. Physical observables of the Ising spin glass in 6-epsilon dimensions: asymptotical behavior around the critical fixed point. https://doi.org/10.1103/physrevb.96.024411

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