The addition spectrum of interacting electrons: Parametric dependence

TL;DR

This study investigates how the addition spectrum of interacting electrons in a disordered stadium varies with parameters like conductance and background, revealing Gaussian distributions and empirical scaling behaviors.

Contribution

It provides new insights into the parametric dependence of the addition spectrum using self-consistent Hartree-Fock calculations for up to 120 electrons.

Findings

Addition spectrum follows a Gaussian distribution for $r_s \,\leq\, 1$

Empirical scaling describes the distribution width dependence on conductance

Distribution characteristics are consistent with theoretical predictions

Abstract

The addition spectrum of a disordered stadium is studied for up to 120 electrons using the self consistent Hartree-Fock approximation for different values of the dimensionless conductance and in the presence and absence of a neutralizing background. In all cases a Gaussian distribution of the addition spectrum is reached for $r_s \leq 1$. An empirical scaling for the distribution width in the presence of a neutralizing background is tested and seems to describe rather well its dependence on the dimensionless conductance.