Conductance Peak Distributions in Quantum Dots and the Crossover between Orthogonal and Unitary Symmetries

TL;DR

This paper derives analytical expressions for conductance peak distributions in quantum dots during the transition from orthogonal to unitary symmetry, validated by simulations, enhancing understanding of symmetry crossover effects.

Contribution

It provides the first closed-form formulas for resonance widths and conductance peaks across the symmetry crossover in quantum dots, applicable to complex lead configurations.

Findings

Analytic formulas match simulation results.

Effective description of symmetry crossover in quantum dots.

Applicable to leads with multiple correlated channels.

Abstract

Closed expressions are derived for the resonance widths and Coulomb blockade conductance peak heights in quantum dots for the crossover regime between conserved and broken time-reversal symmetry. The results hold for leads with any number of possibly correlated and inequivalent channels. Our analytic predictions are in good agreement with simulations of both random matrices and a chaotic billiard with a magnetic flux line.