Disordered quantum critical fixed points from holography

TL;DR

This paper develops an analytically controlled holographic model of disordered quantum critical points without quasiparticles, analyzing their critical exponents and transport properties at finite disorder and charge density.

Contribution

It introduces a new holographic approach to study disordered quantum critical points with relevant disorder near Harris marginal, providing analytical control and consistency with prior results.

Findings

Calculated critical exponents of the IR disordered fixed point.

Determined thermoelectric transport coefficients at the fixed point.

Validated predictions against previous holographic and nonholographic models.

Abstract

Using holographic duality, we present an analytically controlled theory of quantum critical points without quasiparticles, at finite disorder and finite charge density. These fixed points are obtained by perturbing a disorder-free quantum critical point with relevant disorder whose operator dimension is perturbatively close to Harris marginal. We analyze these fixed points both using field theoretic arguments, and by solving the bulk equations of motion in holography. We calculate the critical exponents of the IR theory, together with thermoelectric transport coefficients. Our predictions for the critical exponents of the disordered fixed point are consistent with previous work, both in holographic and nonholograpic models.