Lifetimes of impurity states in crossed magnetic and electric fields

TL;DR

This paper investigates the quantum behavior of impurity states in a 2D electron system under combined magnetic and electric fields, revealing their instability and how their lifetimes increase as the electric field diminishes.

Contribution

It provides a detailed analysis of impurity state lifetimes in crossed fields, highlighting their Gaussian growth as electric field strength approaches zero.

Findings

Impurity states are unstable with electric field presence.

Lifetimes grow Gaussianly as electric field decreases.

All impurity states exhibit finite lifetimes in the electric field.

Abstract

We study the quantum dynamics of localized impurity states created by a point interaction for an electron moving in two dimensions under the influence of a perpendicular magnetic field and an in-plane weak electric field. All impurity states are unstable in presence of the electric field. Their lifetimes are computed and shown to grow in a Gaussian way as the electric field tends to zero.