Abstract
We consider Kohn-Luttinger mechanism for superconductivity in a two-dimensional electron gas confined to a narrow well between two grounded metallic planes with two occupied subbands with Fermi momenta . On the basis of a perturbative analysis, we conclude that non--wave superconductivity emerges even when the bands are parabolic. We analyze the conditions that maximize as a function of the distance to the metallic planes, the ratio , and , which measures the strength of Coulomb correlations. The largest attraction is in -wave and -wave channels, of which wave is typically the strongest. For we estimate that the dimensionless coupling , but it likely continues increasing for larger (where we lose theoretical control).
- Received 13 September 2017
DOI:https://doi.org/10.1103/PhysRevB.96.174514
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