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Morphology of renormalization-group flow for the de Almeida-Thouless-Gardner universality class

dc.contributor.author Charbonneau, Patrick
dc.contributor.author Hu, Yi
dc.contributor.author Raju, Archishman
dc.contributor.author Sethna, James P
dc.contributor.author Yaida, Sho
dc.date.accessioned 2018-09-07T15:10:01Z
dc.date.available 2018-09-07T15:10:01Z
dc.identifier.uri https://hdl.handle.net/10161/17391
dc.description.abstract A replica-symmetry-breaking phase transition is predicted in a host of disordered media. The criticality of the transition has, however, long been questioned below its upper critical dimension, six, due to the absence of a critical fixed point in the renormalization-group flows at one-loop order. A recent two-loop analysis revealed a possible strong-coupling fixed point but, given the uncontrolled nature of perturbative analysis in the strong-coupling regime, debate persists. Here we examine the nature of the transition as a function of spatial dimension and show that the strong-coupling fixed point can go through a Hopf bifurcation, resulting in a critical limit cycle and a concomitant discrete scale invariance. We further investigate a different renormalization scheme and argue that the basin of attraction of the strong-coupling fixed point/limit cycle may thus stay finite for all dimensions.
dc.subject cond-mat.stat-mech
dc.subject cond-mat.stat-mech
dc.subject cond-mat.dis-nn
dc.title Morphology of renormalization-group flow for the de Almeida-Thouless-Gardner universality class
dc.type Journal article
dc.date.updated 2018-09-07T15:10:00Z
pubs.organisational-group Trinity College of Arts & Sciences
pubs.organisational-group Duke
pubs.organisational-group Chemistry
pubs.organisational-group Physics
duke.contributor.orcid Charbonneau, Patrick|0000-0001-7174-0821


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