Frequency Dependent Conductance of a Tunnel Junction in the Semiclassical Limit
Georg Goeppert, Hermann Grabert
TL;DR
This paper derives the frequency-dependent conductance of a small metallic tunnel junction in the semiclassical limit, using a nonperturbative approach, and explains recent experimental observations.
Contribution
It introduces a nonperturbative path integral method to calculate conductance beyond orthodox Coulomb blockade theory in arbitrary electromagnetic environments.
Findings
Theoretical conductance matches experimental data at high temperatures.
Frequency dependence of conductance is characterized.
Method applicable to large tunneling conductance regimes.
Abstract
The linear conductance of the a small metallic tunnel junction embedded in an electromagnetic environment of arbitrary impedance is determined in the semiclassical limit. Electron tunneling is treated beyond the orthodox theory of Coulomb blockade phenomena by means of a nonperturbative path integral approach. The frequency dependent conductance is obtained from Kubo's formula. The theoretical predictions are valid for high temperatures and/or for large tunneling conductance and are found to explain recent experimental data.
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Taxonomy
TopicsQuantum and electron transport phenomena · Surface and Thin Film Phenomena · Semiconductor materials and devices