Electron Scattering Through a Quantum Dot: A Phase Lapse Mechanism

TL;DR

This paper investigates how electron interactions in a quantum dot cause phase lapses of π between resonances, contrasting with independent electron models, and considers effects of finite temperature.

Contribution

It introduces a model that explains phase lapses in electron scattering through quantum dots, highlighting the role of electron-electron interactions.

Findings

Phase lapses of π can occur between resonances due to interactions.

Finite temperature effects are incorporated into the model.

Contrasts with independent electron models are demonstrated.

Abstract

The scattering phase shift of an electron transferred through a quantum dot is studied within a model Hamiltonian, accounting for both the electron--electron interaction in the dot and a finite temperature. It is shown that, unlike in an independent electron picture, this phase may exhibit a phase lapse of $ \pi $ {\em between } consecutive resonances under generic circumstances.