Perturbatively charged holographic disorder
arXiv:1504.03288 · doi:10.1103/PhysRevD.92.046004
Abstract
Within the framework of holography applied to condensed matter physics, we study a model of perturbatively charged disorder in D=4 dimensions. Starting from initially uncharged AdS_4, a randomly fluctuating boundary chemical potential is introduced by turning on a bulk gauge field parameterized by a disorder strength and a characteristic scale k_0. Accounting for gravitational backreaction, we construct an asymptotically AdS solution perturbatively in the disorder strength. The disorder averaged geometry displays unphysical divergences in the deep interior. We explain how to remove these divergences and arrive at a well behaved solution. The disorder averaged DC conductivity is calculated and is found to contain a correction to the AdS result. The correction appears at second order in the disorder strength and scales inversely with k_0. We discuss the extension to a system with a finite initial charge density. The disorder averaged DC conductivity may be calculated by adopting a technique developed for holographic lattices.
33 pages
References in corpus (25)
- Many body localization and thermalization in quantum statistical mechanics
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Gravity duals for non-relativistic CFTs
- Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
- Quantum critical transport, duality, and M-theory
- Holography without translational symmetry
- Momentum dissipation and effective theories of coherent and incoherent transport
- Holographic Polarons, the Metal-Insulator Transition and Massive Gravity
- Impure AdS/CFT
- The thermoelectric properties of inhomogeneous holographic lattices
- Holographic Metals and Insulators with Helical Symmetry
- Introduction to Holographic Superconductor Models
- Thermo-electric transport in gauge/gravity models with momentum dissipation
- Coherent/incoherent metal transition in a holographic model
- Analytic DC thermo-electric conductivities in holography with massive gravitons
- Metal-insulator transition in holography
- Disordered Systems and the Replica Method in AdS/CFT
- Holographic Checkerboards
- Holographic Superconductor on Q-lattice
- Inhomogeneity simplified
- Adventures in Holographic Dimer Models
- A Simple Holographic Insulator
- Conductivity of weakly disordered strange metals: from conformal to hyperscaling-violating regimes
- Cold planar horizons are floppy
- S-Wave Superconductivity in Anisotropic Holographic Insulators
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- The Holographic Disorder-Driven Superconductor-Metal Transition
- Renormalization group in quantum critical theories with Harris-marginal disorder
- Marginal and Irrelevant Disorder in Einstein-Maxwell backgrounds
- Breakdown of emergent Lifshitz symmetry in holographic matter with Harris-marginal disorder
- Coherence effects in disordered geometries with a field-theory dual
- Transport in a gravity dual with a varying gravitational coupling constant
- Noisy Branes
- Disorder in AdS/CFT