Generic transmission zeros and in-phase resonances in time-reversal symmetric single channel transport

TL;DR

This paper investigates phase coherent transport in single-channel systems with time-reversal symmetry, revealing generic transmission zeros and in-phase resonances that explain experimental observations in quantum dots.

Contribution

It demonstrates that transmission zeros and in-phase resonances are generic features in quasi-1D systems with time-reversal symmetry, using the scattering matrix approach.

Findings

Transmission zeros occur generically in quasi-1D systems with time-reversal symmetry.

Abrupt phase changes are associated with transmission zeros.

In-phase resonances are naturally explained by the transmission zeros.

Abstract

We study phase coherent transport in a single channel system using the scattering matrix approach. It is shown that identical vanishing of the transmission amplitude occurs generically in quasi-1D systems if the time-reversal is a good symmetry. The transmission zeros naturally lead to abrupt phase changes (without any intrinsic energy scale) and in-phase resonances, providing insights to recent experiments on phase coherent transport through a quantum dot.