Work

Ohm’s law at strong coupling: S duality and the cyclotron resonance

Year: 2007
Type: article
Abstract: We calculate the electrical and thermal conductivities and the thermoelectric coefficient of a class of strongly interacting $2+1$-dimensional conformal field theories with anti-de Sitter space duals. We obtain these transport coefficients as a function of charge density, background magnetic field, temperature, and frequency. We show that the thermal conductivity and thermoelectric coefficient are determined by the electrical conductivity alone. At small frequency, in the hydrodynamic limit, we are able to provide a number of analytic formulas for the electrical conductivity. A dominant feature of the conductivity is the presence of a cyclotron pole. We show how bulk electromagnetic duality acts on the transport coefficients.
Language: English
Open Access status: green
OpenAlex ID: W1964712915
FWCI: 15.66
Cites: 35
Cited by: 239
Related to: 9