Controlled dephasing in single-dot Aharonov-Bohm interferometers

Abstract

We study the Fano effect and the visibility of the Aharonov-Bohm oscillations for a mesoscopic interferometer with an embedded quantum dot in the presence of a nearby second dot. When the electron-electron interaction between the two dots is considered the nearby dot acts as a charge detector. We compute the currents through the interferometer and detector within the Keldysh formalism and the self-energy of the non-equilibrium Green functions is found up to the second order in the interaction strength. The current formula contains a correction to the Landauer-B\"{uttiker} formula. Its contribution to transport and dephasing is discussed. As the bias applied on the detector is increased, the amplitude of both the Fano resonance and Aharonov-Bohm oscillations are considerably reduced due to controlled dephasing. This result is explained by analyzing the behavior of the imaginary part of the self-energy as a function of energy and bias. We investigate as well the role of the ring-dot coupling. Our theoretical results are consistent to the experimental observation of Buks {\it et al.} [Nature {\bf 391}, 871 (1998)].

24 pages, 8 figures

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Cited by in corpus (9)

• Transient regime in non-linear transport through many-level quantum dots
• Coulomb-interaction effects in full counting statistics of a quantum-dot Aharonov-Bohm interferometer
• Transport through a multiply connected interacting meso-system using the Keldysh formalism
• Statistics of heat transport across capacitively coupled double quantum dot circuit
• Spin-dependent transport through quantum-dot Aharonov-Bohm interferometers
• Coherent Backaction of Quantum Dot Detectors: Qubit Isospin Precession
• Dephasing of electrons in the Aharonov-Bohm interferometer with a single-molecular vibrational junction
• Performance of the T-matrix based master equation for Coulomb drag in double quantum dots
• Backaction Dephasing by a Quantum Dot Detector