Cascade approach to current fluctuations in a chaotic cavity
K.E. Nagaev, P. Samuelsson, and S. Pilgram
TL;DR
This paper introduces a semiclassical method to compute higher-order current cumulants in mesoscopic conductors, specifically chaotic cavities, and compares these results with quantum calculations to clarify discrepancies.
Contribution
It presents a new semiclassical approach for higher-order current cumulants in chaotic cavities with arbitrary lead transparency, addressing previous inconsistencies.
Findings
Third and fourth cumulants calculated and compared with quantum results
The method efficiently reproduces quantum-mechanical ensemble averages
Clarifies discrepancies between semiclassical and quantum calculations
Abstract
We propose a simple semiclassical method for calculating higher-order cumulants of current in multichannel mesoscopic conductors. To demonstrate its efficiency, we calculate the third and fourth cumulants of current for a chaotic cavity with multichannel leads of arbitrary transparency and compare the results with ensemble-averaged quantum-mechanical quantities. We also explain the discrepancy between the quantum-mechanical results and previous semiclassical calculations.
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