Abstract

The scaling of the AC conductivity in quantum critical holographic theories at finite density, finite temperature and in the presence of momentum dissipation is considered. It is shown that there is generically an intermediate window of frequencies in which the IR scaling of the AC conductivity is clearly visible.

Highlights

  • AND SUMMARYCritical behavior, scaling, and universality are landmarks that stand out from the messy reality of materials

  • Similar evidence for a line of critical points was found in other cases [15,16], this interpretation is contentious in the strange metal community

  • The results of [60] have positively indicated that holographic quantum critical (QC) theories at finite density and T = 0, in the absence of momentum dissipation, have a scaling IR alternating current (AC) conductivity, roughly of the type seen in experiments

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Summary

INTRODUCTION

Critical behavior, scaling, and universality are landmarks that stand out from the messy reality of materials. Angle and magnetoresistance that are in agreement with data at very low temperatures [21] It realized the idea of a line of quantum critical points, suggested in [11] and predicted scaling relations in the presence of the magnetic field. A conventional approach suggested that it may arise from the interaction of the fermions with a Bose sector other than the phonons [57] In holography it has been studied since the authors of [35] observed that in scaling critical geometries there is a scaling AC conductivity and computed the scaling exponent as a function of the other critical exponents for the case where the EM gauge boson is the same as the one that seeds the scaling IR geometry. In [62,63], theories were studied where the AC conductivity was controlled by irrelevant deformations and where the scaling arguments are more complex to implement

On the scaling of the holographic AC conductivity
Results and outlook
REISSNER-NÖRDSTROM BLACK-HOLE AND AdS2 IR-SCALING ASYMPTOTICS
AC CONDUCTIVITY AND ITS CRITICAL IR SCALING
IR scaling of the AC conductivity
Temperature versus critical IR scaling of the AC conductivity
Momentum dissipation versus IR scaling of the AC conductivity
CONCLUSION
Small frequency solution without momentum dissipation
Small frequency behavior with weak momentum dissipation

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