Disordered Holographic Systems I: Functional Renormalization

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages, 3 figures

Scientific paper

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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