Scaling Of The Coulomb Energy Due To Quantum Fluctuations In The Charge Of A Quantum Dot

TL;DR

This paper investigates how quantum fluctuations influence the Coulomb charging energy in quantum dots, revealing specific power-law scaling behaviors that align with recent theoretical predictions.

Contribution

It experimentally demonstrates the scaling of charging energy with barrier reflection probability and confirms theoretical power-law predictions.

Findings

Charging energy scales quadratically with barrier reflection probability.

Transition from single to double-dot shows linear scaling.

Experimental results agree with recent theoretical models.

Abstract

The charging energy of a quantum dot is measured through the effect of its potential on the conductance of a second dot. This technique allows a measurement of the scaling of the dot's charging energy with the conductance of the tunnel barriers leading to the dot. We find that the charging energy scales quadratically with the reflection probability of the barriers. In a second experiment we study the transition from a single to a double-dot which exhibits a scaling behavior linear in the reflection probability. The observed power-laws agree with a recent theory.