Finite temperature effects in Coulomb blockade quantum dots and signatures of spectral scrambling

TL;DR

This paper investigates how temperature influences conductance peak fluctuations in Coulomb blockade quantum dots, highlighting the role of spectral scrambling due to electron interactions and matching recent experimental observations.

Contribution

It introduces a theoretical framework using discrete Gaussian processes to analyze spectral scrambling effects on temperature-dependent conductance fluctuations in quantum dots.

Findings

Spectral scrambling affects the temperature dependence of peak spacing fluctuations.

Saturation in peak-to-peak correlator temperature dependence is observed.

Theoretical results align with recent experimental data.

Abstract

The conductance in Coulomb blockade quantum dots exhibits sharp peaks whose spacings fluctuate with the number of electrons. We derive the temperature-dependence of these fluctuations in the statistical regime and compare with recent experimental results. The scrambling due to Coulomb interactions of the single-particle spectrum with the addition of an electron to the dot is shown to affect the temperature-dependence of the peak spacing fluctuations. Spectral scrambling also leads to saturation in the temperature dependence of the peak-to-peak correlator, in agreement with recent experimental results. The signatures of scrambling are derived using discrete Gaussian processes, which generalize the Gaussian ensembles of random matrices to systems that depend on a discrete parameter -- in this case, the number of electrons in the dot.