Single-electron source: Adiabatic versus non-adiabatic emission

TL;DR

This paper compares adiabatic and non-adiabatic single-electron emission in edge states, revealing similarities in some effects but key differences in heat current behavior, especially in series geometries.

Contribution

It provides an analytical comparison of adiabatic and non-adiabatic single-electron sources in different geometries, highlighting their similarities and differences.

Findings

Adiabatic and non-adiabatic emitters show similar effects in wave-packet overlap.

The Pauli peak is similar for both emission types in collider geometry.

Heat current can only be nullified with adiabatic emitters in series geometry.

Abstract

We investigate adiabatic and non-adiabatic emission of single particles into an edge state using an analytically solvable dynamical scattering matrix model of an on-demand source. We compare adiabatic and non-adiabatic emissions by considering two geometries: a collider geometry where two emitters are coupled to two different edge states and a series geometry where two emitters are coupled to the same edge state. Most effects observed for adiabatic emitters also occur for non-adiabatic emitters. In particular this applies to effects arising due to the overlap of wave-packets colliding at a quantum point contact. Specifically we compare the Pauli peak (the fermionic analog of the bosonic Hong-Ou-Mandel dip) for the adiabatic and non-adiabatic collider and find them to be similar. In contrast we find a striking difference between the two operating conditions in the series geometry in which particles are emitted into the same edge state. Whereas the squared average charge current can be nullified for both operating conditions, the heat current can be made to vanish only with adiabatic emitters.