Coulomb Zero-Bias Anomaly: A Semiclassical Calculation

Abstract

Effective action is proposed for the problem of Coulomb blocking of tunneling. The approach is well suited to deal with the ``strong coupling'' situation near zero bias, where perturbation theory diverges. By a semiclassical treatment, we reduce the physics to that of electrodynamics in imaginary time, and express the anomaly through exact conductivity of the system $\sigma (\omega ,q)$ and exact interaction. For the diffusive anomaly, we compare the result with the perturbation theory of Altshuler, Aronov, and Lee. For the metal-insulator transition we derive exact relation of the anomaly and critical exponent of conductivity.

9 pages, RevTeX 3.0

References in corpus (2)

• Tunneling into a two-dimensional electron system in a strong magnetic field
• Coulomb Blocking of Tunneling: From Zero-bias Anomaly to Coulomb Gap

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