Antilocalization in Coulomb Blockade

TL;DR

This paper investigates how spin-orbit scattering influences conductance fluctuations in quantum dots under Coulomb blockade, revealing suppression of peak heights by magnetic fields and analyzing elastic cotunneling across symmetry regimes.

Contribution

It provides the first detailed analysis of conductance peak and valley statistics in quantum dots with strong spin-orbit coupling, including symmetry crossover effects.

Findings

Magnetic field suppresses average conductance peak height.

Distribution functions for peak heights are derived for strong spin-orbit scattering.

Elastic cotunneling moments are calculated across symmetry crossovers.

Abstract

We study the effect of spin-orbit scattering on the statistics of the conductance of a quantum dot for Coulomb blockade peaks and valleys. We find the distribution function of the peak heights for strong spin-orbit scattering in the presence and absence of time reversal symmetry. We find that the application of a magnetic field suppresses the average peak height, similar to the antilocalizaion in the bulk systems. For the valleys, we consider the elastic cotunneling contribution to the conductance and calculate its moments at the crossover between ensembles of various symmetries.