Conductivity bound from dirty black holes
arXiv:1602.05943 · doi:10.1016/j.physletb.2016.09.056
Abstract
We propose a lower bound of the dc electrical conductivity in strongly disordered, strongly interacting quantum field theories using holography. We study linear response of black holes with broken translational symmetry in Einstein-Maxwell-dilaton theories of gravity. Using the generalized Stokes equations at the horizon, we derive the lower bound of the electrical conductivity for the dual two dimensional disordered field theory.
9 pages, no figure. v2:Title changed to better reflect content, published version in Physics Letters B
References in corpus (8)
- Quantum Criticality
- Holographic Polarons, the Metal-Insulator Transition and Massive Gravity
- Holographic Metals and Insulators with Helical Symmetry
- Metal-insulator transition in holography
- DC Conductivity of Magnetised Holographic Matter
- Incoherent thermal transport from dirty black holes
- Conformal field theories in with a helical twist
- Universality of DC Electrical Conductivity from Holography
Cited by in corpus (7)
- Holographic quantum matter
- Diffusivities bounds and chaos in holographic Horndeski theories
- DC Conductivity and Higher Derivative Gravity
- Diffusivities bounds in the presence of Weyl corrections
- Shear hydrodynamics, momentum relaxation, and the KSS bound
- Non-abelian Einstein-Born-Infeld AdS black brane and color DC conductivity
- Conductivity bound of the strongly interacting and disordered graphene from gauge/gravity duality