Conductance Peak Height Correlations for a Coulomb-Blockaded Quantum Dot in a Weak Magnetic Field

TL;DR

This paper investigates statistical correlations between conductance peak heights in Coulomb-blockaded quantum dots under varying magnetic fields, revealing correlations influenced by time-reversal symmetry and spin-orbit coupling.

Contribution

It provides new insights into how magnetic fields and spin-orbit interactions affect conductance peak correlations in quantum dots.

Findings

Correlations exist for peaks at the same magnetic field if time-reversal symmetry is not fully broken.

Correlations also occur for peaks at different magnetic fields with full time-reversal symmetry breaking.

Results are relevant for understanding conductance in quantum dots with weak spin-orbit coupling.

Abstract

We consider statistical correlations between the heights of conductance peaks corresponding to two different levels in a Coulomb-blockaded quantum dot. Correlations exist for two peaks at the same magnetic field if the field does not fully break time-reversal symmetry as well as for peaks at different values of a magnetic field that fully breaks time-reversal symmetry. Our results are also relevant to Coulomb-blockade conductance peak height statistics in the presence of weak spin-orbit coupling in a chaotic quantum dot.