Disordered Holographic Systems I: Functional Renormalization
arXiv:1102.2892 · doi:10.1103/PhysRevD.92.126008
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.
20 pages, 3 figures
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- Hawking-Page transition in holographic massive gravity
- Holographic applications of logarithmic conformal field theories
- Emergent scale invariance of disordered horizons
- Hot Halos and Galactic Glasses
- Conductivity of weakly disordered strange metals: from conformal to hyperscaling-violating regimes
- Generalized gravitational entropy without replica symmetry
- Holographic Conductivity in Disordered Systems
- Disorder in Large-N Theories
- A 3d disordered superconformal fixed point
- Perturbatively charged holographic disorder
- Unitarity bounds and RG flows in time dependent quantum field theory
- Holographic Approach to Entanglement Entropy in Disordered Systems
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- Probing AdS Wormholes by Entanglement Entropy
- Marginal and Irrelevant Disorder in Einstein-Maxwell backgrounds
- Transport in a gravity dual with a varying gravitational coupling constant
- Coherence effects in disordered geometries with a field-theory dual
- Quantum many-body physics from a gravitational lens
- Boltzmann electronic dc transport in multiorbital weakly-disordered crystals
- Seeing bulk perturbations in Lifshitz holography