Superconductivity in a Dilute Two Dimensional Electron System

A. Agarwal; S. G. Rajeev

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arXiv · cond-mat/0010316

Superconductivity in a Dilute Two Dimensional Electron System

A. Agarwal·S. G. Rajeev

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Abstract

We develop a finite temperature mean field theory in the path integral picture for an extremely dilute system of interacting Fermions in a plane. In the limit of short ranged interactions, the system is shown to undergo a phase transition to a superconducting regime. Unlike the well known BCS transition for metals, this phase transition is found to be very sensitive to the two dimensional nature of the problem. A quantitative estimate of this sensitivity is carried out by repeating the analysis at non-zero thickness. The validity of the mean field results are also proved using renormalization group techniques.

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A. Agarwal, S. G. Rajeev. 2000-10-25. Superconductivity in a Dilute Two Dimensional Electron System. https://arxiv.org/abs/cond-mat/0010316

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