Noisy Branes

Abstract

We study the effects of disorder on strongly coupled compressible matter in 2+1 dimensions. Our system consists of a D3/D5 intersection at finite temperature and in the presence of a disordered chemical potential. We first study the impact of disorder on the charge density and the quark condensate. Next, we focus on the DC conductivity and derive analytic expressions for the corrections induced by weak disorder. It is found that disorder enhances the DC conductivity at low charge density, while for large charge density the conductivity is reduced. We present numerical simulations both for weak and strong disorder. Finally, we show how disorder gives rise to a sublinear behavior for the conductivity as a function of the charge density, a behavior qualitatively similar to predictions and observations for electric transport in graphene.

40 pages, 16 figures. V2: improved analysis of the conductivity (Sec. 3): new numerical and analytic results, in particular at strong disorder. Clarifications added and typos corrected. Published version

References in corpus (10)

• Carrier transport in 2D graphene layers
• Measurement of Scattering Rate and Minimum Conductivity in Graphene
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Rare region effects at classical, quantum, and non-equilibrium phase transitions
• The thermoelectric properties of inhomogeneous holographic lattices
• Hydrodynamic theory of quantum fluctuating superconductivity
• Chemical Potential in the Gravity Dual of a 2+1 Dimensional System
• Three-dimensional super Yang-Mills with compressible quark matter
• Marginal and Irrelevant Disorder in Einstein-Maxwell backgrounds
• Conductivity bounds in probe brane models

Cited by in corpus (3)

• Kasner interiors from analytic hairy black holes
• Coherence effects in disordered geometries with a field-theory dual
• Transport in a gravity dual with a varying gravitational coupling constant