Scattering Matrix Theory For Nonlinear Transport
Zhong-shui Ma, Jian Wang, and Hong Guo
TL;DR
This paper introduces a scattering matrix theory for analyzing dynamic and nonlinear transport phenomena in coherent mesoscopic conductors, enabling predictions of conductance behaviors and ensuring physical consistency.
Contribution
The paper presents a novel scattering matrix framework that accounts for nonlinear and dynamic transport, satisfying gauge invariance and conservation laws, and applicable to numerical analysis.
Findings
Predicted low frequency linear dynamic conductance.
Analyzed weakly nonlinear DC conductance of a tunneling diode.
Ensured gauge invariance and current conservation in the theory.
Abstract
We report a scattering matrix theory for dynamic and nonlinear transport in coherent mesoscopic conductors. In general this theory allows predictions of low frequency linear dynamic conductance, as well as weakly nonlinear DC conductance. It satisfies the conditions of gauge invariance and electric current conservation, and can be put into a form suitable for numerical computation. Using this theory we examine the third order weakly nonlinear DC conductance of a tunneling diode.
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