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

被引:175
作者
Hartnoll, Sean A. [1 ]
Herzog, Christopher P.
机构
[1] Univ Calif Santa Barbara, KITP, Santa Barbara, CA 93106 USA
[2] Univ Washington, Dept Phys, Seattle, WA 98195 USA
来源
PHYSICAL REVIEW D | 2007年 / 76卷 / 10期
关键词
D O I
10.1103/PhysRevD.76.106012
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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.
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页数:12
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