Nonlinear conductivity of a holographic superconductor under constant electric field

Research output: Contribution to journalArticleScientificpeer-review


  • Hua Bi Zeng
  • Yu Tian
  • Zheyong Fan
  • Chiang Mei Chen

Research units

  • Bohai University
  • National Central University
  • Yangzhou University
  • Shanghai Key Laboratory of High Temperature Superconductors
  • University of Chinese Academy of Sciences


The dynamics of a two-dimensional superconductor under a constant electric field E is studied by using the gauge-gravity correspondence. The pair breaking current induced by E first increases to a peak value and then decreases to a constant value at late times, where the superconducting gap goes to zero, corresponding to a normal conducting phase. The peak value of the current is found to increase linearly with respect to the electric field. Moreover, the nonlinear conductivity, defined as an average of the conductivity in the superconducting phase, scales as similar to E-2/3 when the system is close to the critical temperature T-c, which agrees with predictions from solving the time-dependent Ginzburg-Landau equation. Away from T-c, the E-2/3 scaling of the conductivity still holds when E is large.


Original languageEnglish
Article number046014
Pages (from-to)1-5
Number of pages5
JournalPhysical Review D
Issue number4
Publication statusPublished - 23 Feb 2017
MoE publication typeA1 Journal article-refereed

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