Thermoelectric Conductivity and Black Hole Horizons

02.03.2018 15:30 – 16:30

In seeking applications of the gauge-gravity correspondence to real materials the thermoelectric conductivity is an important observable to study.
It is well known that the entropy and temperature of the dual field theory are captured by quantities at the black hole horizon,
namely the area of the black hole and the surface gravity of the black hole, respectively. We explain how the DC conductivity of the dual field theory can also be obtained by solving a generalised set of Stokes equations for a charged incompressible fluid on the black hole horizon.
We will also consider this result in the context of systems in which translations are spontaneously broken. If time allows, we will also discuss the hydrodynamic modes associated with diffusion of charge and energy for inhomogeneous media, obtaining a generalised Einstein relation from Einstein’s equations.

Lieu

Bâtiment: Ecole de Physique

Auditoire Stuckelberg

entrée libre