Non-linear, finite frequency quantum critical transport from AdS/CFT

Andreas Karch, Shivaji Lal Sondhi

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


Transport at a quantum critical point depends sensitively on the relative magnitudes of temperature, frequency and electric field. Here we used the gauge/gravity correspondence to compute the full temperature and, generally nonlinear, electric field dependence of the electrical conductivity for some model critical theories. In the special case of 2+1 dimensions we are also able to find the full time-dependent response of the system to an arbitrary time dependent external electric field. The response of the system is instantaneous, implying a frequency independent conductivity. We describe a mechanism that rationalizes the instantaneous response.

Original languageEnglish (US)
Article number149
JournalJournal of High Energy Physics
Issue number1
StatePublished - 2011

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Gauge-gravity correspondence
  • Holography and condensed matter physics (AdS/CMT)


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