THE ADDITION SPECTRUM OF A CLASSICAL SHORT-RANGE INTERACTION-MODEL FOR A DISORDERED QUANTUM-DOT

The addition spectrum of a classical short-range interaction model for a disordered quantum dot is calculated numerically. The average chang e in the chemical potential needed to add a particle, as well as the f luctuations in this quantity, are proportional to the interaction stre ngth, and their ratio is one for a wide range of interaction strengths . Analytical arguments which lead to the same result are also presente d. On the basis of these results the behaviour of these quantities for real Coulomb interactions at the high-density limit may be reproduced , and speculations on the behaviour at low densities are presented.