Superconductor-insulator transition in Coulomb disorder

Abstract

Superconductor-insulator transition driven by the decreasing concentration of electrons $n$ is studied in the case of the disorder potential created by randomly positioned charged impurities. Electrons and Cooper pairs (formed by an non-Coulomb attraction) nonlinearly screen the random potential of impurities. Both electrons and Cooper pairs can be delocalized or localized in the resulting self-consistent potential. The border separating the superconductor and insulator phases in the plane of the concentration of electrons and the length of the Cooper pair is found. For a strong disorder the central segment of this border follows the BEC-BCS crossover line defined for a clean sample.

4.5 pages, introduction rewritten, a dozen of references added, 2D case added

References in corpus (7)

• Nature of the superconductor-insulator transition in disordered superconductors
• Role of Spatial Amplitude Fluctuations in Highly Disordered s-Wave Superconductors
• Dissipation effects on the superconductor-insulator transition in 2-D superconductors
• Evidence for charge Kondo effect in superconducting Tl-doped PbTe
• Electrostatic Tuning of the Superconductor-Insulator Transition in Two Dimensions
• Superconductivity in charge Kondo systems
• Quantum Metallicity on the High-Field Side of the Superconductor-Insulator Transition

Cited by in corpus (5)

• Localization and Superconductivity in Doped Semiconductors
• Localization of disordered bosons and magnets in random fields
• Compensation driven superconductor-insulator transition
• Superfluid Bloch dynamics in an incommensurate lattice
• Anderson localization on the Falicov-Kimball model with Coulomb disorder