Second order phase transition in the six-dimensional Ising spin glass on a field

Author:

Miguel Aguilar-Janita, Victor Martin-Mayor, Javier Moreno-Gordo, Juan Jesus Ruiz-Lorenzo

Keyword:

Condensed Matter, Disordered Systems and Neural Networks, Disordered Systems and Neural Networks (cond-mat.dis-nn)

journal:

date:

2023-05-31 16:00:00

Abstract

The very existence of a phase transition for spin glasses in an external magnetic field is controversial, even in high dimensions. We carry out massive simulations of the Ising spin-glass in a field, in six dimensions (which, according to classical, but not generally accepted, field-theoretical studies, is the upper critical dimension). We find a phase transition and compute the critical exponents, that are found to be compatible with their mean-field values. We also find that the replica-symmetric Hamiltonian describes the scaling of the renormalized couplings near the phase transition.

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