Aharonov-Bohm interferometry with quantum dots: scattering approach versus tunneling picture

2002/12/31 by Björn Kubala, Jürgen König · 3 citations
Engineering · Mathematics · Physics and Astronomy · #Astronomical interferometer #Hamiltonian (control theory) #Interferometry #Mathematics #Molecular Junctions and Nanostructures #Physics #Quantum #Quantum and electron transport phenomena #Quantum dot #Quantum mechanics #Quantum tunnelling #Scattering #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.67.205303

published as Phys. Rev. B 67, 205303 (2003) · 8 pages, 8 figures, published version

openalex publication_date 2003/05/06 · arxiv created 2003/05/16 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We address the question of how to model electron transport through closed Aharonov-Bohm interferometers which contain quantum dots. By explicitly studying interferometers with one and two quantum dots, we establish the connection between a tunneling-Hamiltonian formulation on the one hand and a scattering-matrix approach on the other hand. We prove that, under certain circumstances, both approaches are equivalent, i.e., both types of models can describe the same experimental setups. Furthermore, we analyze how the interplay of the Aharonov-Bohm phase and the orbital phase associated with the lengths of the interferometers' arms affect transport properties.

Citations

• Phase Evolution in a Kondo-Correlated System
• Transmission Phase Shift of a Quantum Dot with Kondo Correlations
• Flux-dependent level attraction in double-dot Aharonov-Bohm interferometers

Cited by

• Resonant and coherent transport through Aharonov-Bohm interferometers with coupled quantum dots
• Coherent and collective quantum optical effects in mesoscopic systems
• Coulomb-interaction effects in full counting statistics of a quantum-dot Aharonov-Bohm interferometer