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2013

A Simple Holographic Model of Nonlinear Conductivity

Horowitz, Gary T., Iqbal, Nabil, Santos, Jorge E.

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We present a simple analytic gravitational solution which describes the holographic dual of a 2+1-dimensional conductor which goes beyond the usual linear response.

In particular it includes Joule heating.
We find that the nonlinear frequency-dependent conductivity is a constant.
Surprisingly, the pressure remains isotropic.

A Simple Holographic Model of Nonlinear Conductivity · Around

Built on

S. Hawking and D. N. Page, Thermodynamics of Black Holes in anti-De Sitter Space
1983
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D. Shahar, D. C. Tsui, M. Shayegan, E. Shimshoni, and S. L. Sondhi, Evidence for Charge-Flux Duality near the Quantum Hall Liquid-to-Insulator Transition
1996
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E. Witten, Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
1998
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G. T. Horowitz and R. C. Myers, The AdS / CFT correspondence and a new positive energy conjecture for general relativity
1998
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V. Balasubramanian and P. Kraus, A Stress tensor for Anti-de Sitter gravity
1999
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