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arXiv:1607.08515 · Physical review. B./Physical review. B

Phase diagram and criticality of the random anisotropy model in the large- N limit

D. Mouhanna, Gilles Tarjus

Published Dec 29, 2016• 7 citations
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Abstract

We revisit the thermodynamic behavior of the random-anisotropy O($N$) model by investigating its large-$N$ limit. We focus on the system at zero temperature where the mean-field-like artifacts of the large-$N$ limit are less severe. We analyze the connection between the description in terms of self-consistent Schwinger-Dyson equations and the functional renormalization group. We provide a unified description of the phase diagram and critical behavior of the model and clarify the nature of the possible ``glassy'' phases. Finally we discuss the implications of our findings for the finite-$N$ and finite-temperature systems.

DOI
10.1103/physrevb.94.214205

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