TRANSPORT THROUGH A QUANTUM-DOT PILLAR

We have performed a calculation on the quantum transport through a qua ntum dot pillar with hard-wall confinement, taking into account the Co ulomb interaction in the dot as well as the exact sample geometry. We have investigated the case of N less than or equal to 4 electrons in t he dot. The many-particle eigensolutions in the dot, the tunnelling ra te associated to each many-particle eigenstate in the dot, the tunnell ing current and the corresponding conductance in both the nonlinear an d the linear response regimes are calculated rigorously. Besides other interesting results beyond the orthodox theory, we found that for an experimentally accessible sample, the influence of the Coulomb interac tion on certain matrix elements is small and can be neglected. Such an approximation will simplify the numerical study of other physical pro perties of the quantum dot.