# Nonlinear conductivity of a holographic superconductor under constant electric field

Research output: Contribution to journal › Article › Scientific › peer-review

### Standard

**Nonlinear conductivity of a holographic superconductor under constant electric field.** / Zeng, Hua Bi; Tian, Yu; Fan, Zheyong; Chen, Chiang Mei.

Research output: Contribution to journal › Article › Scientific › peer-review

### Harvard

*Physical Review D*, vol. 95, no. 4, 046014, pp. 1-5. https://doi.org/10.1103/PhysRevD.95.046014

### APA

*Physical Review D*,

*95*(4), 1-5. [046014]. https://doi.org/10.1103/PhysRevD.95.046014

### Vancouver

### Author

### Bibtex - Download

}

### RIS - Download

TY - JOUR

T1 - Nonlinear conductivity of a holographic superconductor under constant electric field

AU - Zeng, Hua Bi

AU - Tian, Yu

AU - Fan, Zheyong

AU - Chen, Chiang Mei

PY - 2017/2/23

Y1 - 2017/2/23

N2 - 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.

AB - 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.

KW - CONDENSED MATTER

KW - STRING THEORY

KW - GRAVITY

U2 - 10.1103/PhysRevD.95.046014

DO - 10.1103/PhysRevD.95.046014

M3 - Article

VL - 95

SP - 1

EP - 5

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 2470-0010

IS - 4

M1 - 046014

ER -

ID: 13696001