Resonant and coherent transport through Aharonov-Bohm interferometers with coupled quantum dots

Abstract

A detailed description of the tunneling processes within Aharonov-Bohm (AB) rings containing two-dimensional quantum dots is presented. We show that the electronic propagation through the interferometer is controlled by the spectral properties of the embedded dots and by their coupling with the ring. The transmittance of the interferometer is computed by the Landauer-Büttiker formula. Numerical results are presented for an AB interferometer containing two coupled dots. The charging diagrams for a double-dot interferometer and the Aharonov Bohm oscillations are obtained, in agreement with the recent experimental results of Holleitner {\it et al}. [Phys. Rev. Lett. {\bf 87}, 256802 (2001)] We identify conditions in which the system shows Fano line shapes. The direction of the asymetric tail depends on the capacitive coupling and on the magnetic field. We discuss our results in connection with the experiments of Kobayashi {\it et al} [Phys. Rev. Lett. {\bf 88}, 256806 (2002)] in the case of a single dot.

arXiv comment30 pages, 12 figures

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• Electronic transport through a parallel--coupled triple quantum dot molecule: Fano resonances and bound states in the continuum
• Phase coherence in the inelastic cotunneling regime
• Waiting time distributions of electron transfers through quantum dot Aharonov-Bohm interferometers
• Controlled dephasing in single-dot Aharonov-Bohm interferometers
• The Fano regime of one-dot Aharonov-Bohm interferometers
• Exotic electron states and tunable magneto-transport in a fractal Aharonov-Bohm interferometer
• Quantum Hierarchical Fokker-Planck Equations with U(1) Gauge Fields (U(1)-QHFPE): A Computational Framework for Aharonov-Bohm Effects