Conductance of interacting Aharonov-Bohm systems
Tomaz Rejec, Anton Ramsak
TL;DR
This paper presents a simple, exact formula for calculating the zero-temperature conductance of interacting mesoscopic systems with magnetic flux, applicable to Fermi liquid systems, and demonstrates its effectiveness with Kondo-Fano resonance examples.
Contribution
It introduces a universal formula for conductance in interacting systems with magnetic flux, validated against numerical renormalization group results.
Findings
The formula accurately predicts conductance in Fermi liquid systems.
Application to Aharonov-Bohm rings with Kondo-Fano physics shows excellent agreement with numerical methods.
Simplifies analysis of complex interacting mesoscopic systems.
Abstract
A simple formula for the zero-temperature linear response conductance of an interacting mesoscopic region, threaded by magnetic flux, and attached to noninteracting single-channel leads is presented. The formula is valid for a general interacting system exhibiting Fermi liquid properties. As an example of the efficiency of the formula the results for the conductance of a simple Aharonov-Bohm ring with Kondo-Fano resonance physics are presented and compared with numerical renormalization group results.
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