Weak Localization in the Conductance Peaks of Coulomb Blockade Quantum Dots

TL;DR

This paper derives universal expressions for weak localization effects on conductance peaks in Coulomb blockade quantum dots, highlighting their independence from temperature and lead channels during symmetry crossover.

Contribution

It provides the first analytical formulas for the weak localization peak and its variance in Coulomb blockade quantum dots during symmetry crossover.

Findings

Universal weak localization peak expressions derived

Peak shape independent of temperature

Variance of conductance peaks analytically obtained

Abstract

We derive closed expressions for the universal weak localization peak of the average conductance peak heights in Coulomb blockade quantum dots in the crossover from orthogonal to unitary symmetry. The scale for the crossover is independent of the number of channels in each lead, in contrast with the case of open dots. The functional form of the weak localization peak is independent of temperature. We also derive analytically the variance of the conductance peak heights as a function of the crossover parameter.