期刊
PHYSICAL REVIEW D
卷 88, 期 12, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.88.126002
关键词
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资金
- National Science Foundation [PHY12-05500, PHY11-25915]
- Direct For Mathematical & Physical Scien
- Division Of Physics [1205500] Funding Source: National Science Foundation
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. We also apply an electric field to a holographic insulator and show that there is a maximum electric field below which it can remain an insulator. Above this critical value, we argue that it becomes a conductor due to pair creation of charged particles. Finally, we study (1 + 1)-and (3 + 1)-dimensional conductors at the nonlinear level; here exact solutions are not available and a perturbative analysis shows that the current becomes time dependent, but in a way that is captured by a time-dependent effective temperature.
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