Field theory for the Almeida-Thouless transition
Tam\'as Temesv\'ari (Theoretical Physics Department, Institute of, Physics, E\"otv\"os Lor\'and University, Budapest, Hungary), Imre Kondor, (Complexity Science Hub, Vienna, Austria, London Mathematical Laboratory,, London, UK)
TL;DR
This paper reviews the theoretical framework of the Almeida-Thouless transition, extending the effective field theory to low temperatures, and discusses perturbative and nonperturbative behaviors along with renormalization group insights.
Contribution
It extends the effective field theoretic model for the Almeida-Thouless transition to low temperatures, enabling perturbative corrections near zero temperature.
Findings
Perturbative corrections to the phase boundary at low temperatures.
Emergence of nonperturbative behavior near zero external field.
Discussion of renormalization group results.
Abstract
This work contains a review of the theoretical understanding for the Almeida-Thouless transition. The effective field theoretic model for this transition to the replica symmetry broken phase is extended to low temperatures, making it possible to compute perturbative corrections to the mean field phase boundary even close to zero temperature. Nonperturbative behavior emerges both around the zero-external-field transition and at low temperature. Renormalization group results are also discussed.
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Taxonomy
TopicsPhysics of Superconductivity and Magnetism · Theoretical and Computational Physics · Quantum and electron transport phenomena