Publications [#341867] of Patrick Charbonneau

Papers Published

  1. Charbonneau, P; Hu, Y; Raju, A; Sethna, JP; Yaida, S, "Morphology of renormalization-group flow for the de Almeida-Thouless-Gardner universality class.", Physical review. EFebruary,, 2019, 99(2-1), 022132 [doi].
    (last updated on 2024/11/19)

    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 (or limit cycle) may stay finite for all dimensions.