Superconductivity and acoustic plasmons in the two-dimensional electron gas

G. S. Canright; G. Vignale

doi:10.1103/PhysRevB.39.2740

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Superconductivity and acoustic plasmons in the two-dimensional electron gas

G. S. Canright, G. Vignale

DOI 10.1103/PhysRevB.39.2740 · Physical Review B

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Abstract

We calculate the superconducting transition temperature Tc for the two-dimensional, two-component electron gas. We use an effective interaction which approximates vertex corrections by means of local-field factors, which are obtained self-consistently; this interaction includes but is not limited to the "acoustic plasmon" (AP) mode. The gap equation, which gives Tc, includes the full frequency dependence of the interaction. We find two main results: (i) the Tc's obtained are low (mK); (ii) the AP itself essentially does not contribute to the pairing transition, which is rather due to low-frequency electron-hole pair excitations.