Distributions of the Conductance and its Parametric Derivatives in Quantum Dots

TL;DR

This paper investigates the full statistical distributions of conductance and its derivatives in quantum dots, comparing experimental results with random matrix theory predictions that include effects of dephasing and temperature.

Contribution

It provides the first comprehensive analysis of conductance derivatives distributions in quantum dots, incorporating finite dephasing and temperature effects into theoretical models.

Findings

Distributions are non-Gaussian and match random matrix theory predictions.

Conductance derivatives distributions are characterized and compared with theory.

Finite dephasing time and temperature effects are crucial for accurate modeling.

Abstract

Full distributions of conductance through quantum dots with single-mode leads are reported for both broken and unbroken time-reversal symmetry. Distributions are nongaussian and agree well with random matrix theory calculations that account for a finite dephasing time, $\tau_\phi$, once broadening due to finite temperature $T$ is also included. Full distributions of the derivatives of conductance with respect to gate voltage $P(dg/dV_g)$ are also investigated.