Numerical study of the addition spectrum of disordered quantum dots

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Numerical results pertaining to the distribution of the conductance peak spacings of disordered interacting quantum dots are presented. The ground state of a dot was calculated by an exact diagonalization of a tight-binding Hamiltonian for different values of interaction strength, lattice sizes, number of electrons and disorder. It was found that the distribution depends on the interaction strength. For a large range of interactions which correspond to a regime in which the correlation between the electrons in the dot exhibit intermediate-range order, the distribution is Gaussian with a width proportional to the charging energy. This behaviour is different from the distribution in the weak-interaction limit which is well described by a constant-charging random matrix theory. Recent experiments measuring the addition spectrum of quantum dots are performed at densities corresponding to the intermediate-range order regime and exhibit Gaussian distributions of the spacings.

Original languageEnglish
Pages (from-to)147-162
Number of pages16
JournalWaves in Random and Complex Media
Issue number2
StatePublished - Apr 1999


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