Possible Anderson localization in a holographic superconductor

Abstract

We study the effect of disorder in a holographic superconductor by introducing a quasi-periodic chemical potential. When the condensation of the superconductor is sufficiently small compared with the strength of disorder, we find that there exists a discontinuous phase transition from superconducting state to normal state with increasing disorder strength. For relatively large condensation, we find that disorder suppress but not completely destroy superconductivity. This model may provide a holographic realization of Anderson Localization in two-dimensional superconductor.

4 pages, 5 figures

References in corpus (6)

• Building an AdS/CFT superconductor
• Nature of the superconductor-insulator transition in disordered superconductors
• Impure AdS/CFT
• Disordered Systems and the Replica Method in AdS/CFT
• A Striped Holographic Superconductor
• Striped phases in the holographic insulator/superconductor transition

Cited by in corpus (8)

• Introduction to Holographic Superconductor Models
• Emergent scale invariance of disordered horizons
• Perturbatively charged holographic disorder
• The Holographic Disorder-Driven Superconductor-Metal Transition
• Marginal and Irrelevant Disorder in Einstein-Maxwell backgrounds
• Coherence effects in disordered geometries with a field-theory dual
• Zeroth Order Phase Transition in a Holographic Superconductor with Single Impurity
• Anisotropy of the superconducting fluctuations in multiband superconductors: the case of LiFeAs