Europhys. Lett.
Volume 47, Number 6, September 1999
Page(s) 708 - 714
Section Condensed matter: electronic structure, electrical, magnetic and optical properties
Published online 01 September 2002
DOI: 10.1209/epl/i1999-00447-3

Europhys. Lett, 47 (6), pp. 708-714 (1999)

The addition spectrum of interacting electrons: Parametric dependence

L. Bonci and R. Berkovits

The Minerva Center for the Physics of Mesoscopics, Fractals and Neural Networks
Department of Physics, Bar-Ilan University - Ramat-Gan 52900, Israel

(received 26 January 1999; accepted in final form 15 July 1999)

PACS. 73.23Hk - Coulomb blockade; single-electron tunneling.
PACS. 05.45$\rm +b$ - Theory and models of chaotic systems.
PACS. 73.20Dx - Electron states in low-dimensional structures (superlattices, quantum well structures and multylayers).


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 $r_{\rm s}
\leq 1$. 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.


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