We have performed low-temperature conductance measurements on a quantum dot. For zero magnetic field we find transmission resonances in the regions between successive ballistic quantized conductance plateaus. The results of the conductance measurements are compared with single-particle transmission coefficient calculations for the estimated two-dimensional device potential. In accordance with the experimental results, the calculation predicts transmission resonances of similar lineshape and energy spacing. We also include, in a simple but realistic model, the effect of electron-electron interaction.
Ballistic and dissipative electron transport through a two-dimensional geometry is studied in the de Broglie-Bohm quantal trajectory model. The dissipative effect, incorporated to simulate inelastic scattering, is introduced via an imaginary potential term in the Hamiltonian. The relation between the conductance and the local behaviour of the quantal trajectories is discussed. The vortex-like structure of the de Broglie-Bohm trajectories in the vicinity of wavefunction nodes is studied.
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