Fermi Edge Singularities in Transport through Quantum Dots

TL;DR

This paper investigates the Fermi-edge singularity in quantum dot tunneling, providing a scaling law for current and analyzing experimental data to understand the phenomenon at low temperatures and high magnetic fields.

Contribution

It introduces an explicit low-temperature current expression near the tunneling threshold, enabling unified analysis of data across different temperatures.

Findings

Derived a scaling function for tunneling current.

Validated the scaling law with experimental data.

Enhanced understanding of Fermi-edge singularities in quantum dots.

Abstract

We study the Fermi-edge singularity appearing in the current-voltage characteristics for resonant tunneling through a localized level at finite temperature. An explicit expression for the current at low temperature and near the threshold for the tunneling process is presented which allows to coalesce data taken at different temperatures to a single curve. Based on this scaling function for the current we analyze experimental data from a GaAs-AlAs-GaAs tunneling device with embedded InAs quantum dots obtained at low temperatures in high magnetic fields.