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Cited by 205

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

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Hartnoll, Sean A., Herzog, Christopher P.·2007·Physical Review D

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.

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Metadata

Authors
Hartnoll, S. A., & Herzog, C. P.
Venue
Physical Review D
Published
2007-11-19
Volume
76
Issue
10
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
OpenAlex
W1964712915
Cited by
205
References
5
FWCI
18.21
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Ohm’s law at strong coupling:Sduality and the cyclotron resonance. https://app.cochat.ai/papers/10.1103/physrevd.76.106012
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Hartnoll, S. A., & Herzog, C. P. (2007). Ohm’s law at strong coupling:Sduality and the cyclotron resonance. Physical Review D. https://doi.org/10.1103/physrevd.76.106012

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