Dephasing and Dynamic Localization in Quantum Dots

TL;DR

This paper develops a theory of weak dynamic localization in quantum dots, showing how dephasing destroys localization and affects conductance, with implications for quantum dot transport properties.

Contribution

It introduces a theoretical framework for weak dynamic localization in quantum dots and analyzes the impact of dephasing and lead connection on conductance.

Findings

Dephasing destroys dynamic localization in quantum dots.

Dynamic localization significantly alters Coulomb blockade peaks.

The theory links dynamic localization to Anderson localization phenomena.

Abstract

The effects of dynamic localization in a solid-state system -- a quantum dot -- are considered. The theory of weak dynamic localization is developed for non-interacting electrons in a closed quantum dot under arbitrary time-dependent perturbation and its equivalence to the theory of weak Anderson localization is demonstrated. The dephasing due to inelastic electron scattering is shown to destroy the dynamic localization in a closed quantum dot leading to the classical energy absorption at times much greater than the inelastic scattering time. Finally a realistic case of a dot weakly connected to leads is studied and it is shown that the dynamic localization may lead to a drastic change of the shape of the Coulomb blockade peak in the dc conductance vs the gate voltage.