Inhomogeneous pairing in highly disordered s-wave superconductors
By A. Ghosal, M. Randeria, N. Trivedi. 2000
243 citations recorded by the source corpus.
We study a simple model of a two-dimensional s-wave superconductor in the presence of a random potential as a function of disorder strength. We first use the Bogoliubov--de Gennes (BdG) approach to show that, with increasing disorder, the pairing amplitude becomes spatially inhomogeneous, and the system cannot be described within conventional approaches for studying disordered superconductors that assume a uniform order parameter. In the high-disorder regime, we find that the system breaks up into superconducting islands, with large pairing amplitude, separated by an insulating sea. We show that this inhomogeneity has important implications for the physical properties of this system, such as superfluid density and the density of states. We find that a finite spectral gap persists in the density of states, even in the weak-coupling regime, for all values of disorder, and we provide a detailed understanding of this remarkable result. We next generalize Anderson's idea of the pairing of exact eigenstates to include an inhomogeneous pairing amplitude, and show that it is able to qualitatively capture many of the nontrivial features of the full BdG analysis. Finally, we study the transition to a gapped insulating state driven by quantum phase fluctuations about the inhomogeneous superconducting state.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/b21cbc60699683db6aa2b89abe60cbb7856c0fea
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Single- and two-particle energy gaps across the disorder-driven superconductor-insulator transition (2010, background): “A Bogoliubov–de Gennes (BdG) treatment of attractive electrons in a random potential shows that the SC pairing amplitude becomes spatially inhomogeneous with strong disorde”
- Localization of preformed Cooper pairs in disordered superconductors (2010, background): “The appearance of two types of spectra, similar to those observed in this work, was reported in the numerical study of the two-dimensional attractive Hubbard model with on-site disorder by Ghosal et al. [15, 16].”