Coulomb effects on the transmittance of open quantum dots in a tight-binding model

A quantum-mechanical calculation of conductance in an open quantum dot is performed in the Landauer-B\"{u}ttiker formalism using a tight binding Hamiltonian with direct Coulomb interaction. The charge distribution in the dot is calculated self-consistently as function of a gate potential, for various dot-leads couplings. The interaction is active only inside the dot, but not in the leads, its strength being an input parameter. Our calculations are complementary to the master-equation approach, go beyond the "orthodox theory", and account for the size, tunneling, and interaction effects in quantum dots.