Coulomb effects on the transport properties of quantum dots in a strong magnetic field - art. no. 045301

We investigate the transport properties of quantum dots placed in a strong magnetic held using a quantum-mechanical approach based on the two-dimensio nal tight-binding Hamiltonian with direct Coulomb interaction and the Landa uer-Buttiker formalism. The electronic transmittance and the Hall resistanc e show Coulomb oscillations and also prove multiple addition processes. We identify this feature as the "bunching" of electrons observed in recent exp eriments and give an elementary explanation in terms of spectral characteri stics of the dot. The spatial distribution of the added electrons may disti nguish between the edge and bulk states and it has specific features for bu nched electrons. The dependence of the charging energy on the number of ele ctrons is discussed for a strong magnetic field. The crossover from the tun neling to quantum Hall regime is analyzed in terms of dot-lead coupling.