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A nontrivial critical fixed point for replica-symmetry-breaking transitions

dc.contributor.author Charbonneau, Patrick
dc.contributor.author Yaida, Sho
dc.date.accessioned 2017-04-01T20:29:48Z
dc.date.available 2017-04-01T20:29:48Z
dc.date.issued 2017-04-01
dc.identifier http://arxiv.org/abs/1607.04217v2
dc.identifier.uri https://hdl.handle.net/10161/13923
dc.description.abstract The transformation of the free-energy landscape from smooth to hierarchical is one of the richest features of mean-field disordered systems. A well-studied example is the de Almeida-Thouless transition for spin glasses in a magnetic field, and a similar phenomenon--the Gardner transition--has recently been predicted for structural glasses. The existence of these replica-symmetry-breaking phase transitions has, however, long been questioned below their upper critical dimension, d_u=6. Here, we obtain evidence for the existence of these transitions in d<d_u using a two-loop calculation. Because the critical fixed point is found in the strong-coupling regime, we corroborate the result by resumming the perturbative series with inputs from a three-loop calculation. Our analysis offers a straightforward resolution of the long-lasting controversy surrounding phase transitions in finite-dimensional disordered systems.
dc.format.extent 4+15 pages, 2+2 figures
dc.relation.isreplacedby 10161/15346
dc.relation.isreplacedby http://hdl.handle.net/10161/15346
dc.subject cond-mat.stat-mech
dc.subject cond-mat.stat-mech
dc.subject cond-mat.dis-nn
dc.subject hep-th
dc.title A nontrivial critical fixed point for replica-symmetry-breaking transitions
dc.type Journal article
pubs.author-url http://arxiv.org/abs/1607.04217v2
pubs.notes v2: a three-loop calculation and resummation analysis added, nonperturbative RG calculations removed, conclusion revised. Data relevant to this work can be accessed at http://dx.doi.org/10.7924/G86Q1V5C
pubs.organisational-group Chemistry
pubs.organisational-group Duke
pubs.organisational-group Physics
pubs.organisational-group Trinity College of Arts & Sciences


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