Disordered Holographic Systems I: Functional Renormalization
Allan Adams, Sho Yaida
TL;DR
This paper develops a holographic functional renormalization scheme to analyze the thermodynamic effects of mild electric disorder in strongly correlated systems, confirming the Harris criterion's applicability.
Contribution
It introduces a novel holographic functional renormalization approach to study quenched disorder in strongly correlated systems.
Findings
Holographic scheme successfully computes thermodynamic quantities.
Harris criterion is validated within the holographic framework.
Disorder relevance is characterized by the flow of the distribution.
Abstract
We study quenched disorder in strongly correlated systems via holography, focusing on the thermodynamic effects of mild electric disorder. Disorder is introduced through a random potential which is assumed to self-average on macroscopic scales. Studying the flow of this distribution with energy scale leads us to develop a holographic functional renormalization scheme. We test this scheme by computing thermodynamic quantities and confirming that the Harris criterion for relevance, irrelevance or marginality of quenched disorder holds.
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