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

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.

8 pages, 8 figures, published version

References in corpus (17)

• The Kondo Effect in the Unitary Limit
• Tuning of the Fano Effect through a Quantum Dot in an Aharonov-Bohm Interferometer
• Coherent coupling of two quantum dots embedded in an Aharonov-Bohm ring
• Kondo Correlations and the Fano Effect in Closed AB-Interferometers
• Probing Entanglement and Non-locality of Electrons in a Double-Dot via Transport and Noise
• Phase Evolution in a Kondo Correlated System
• Flux-Dependent Level Attraction in Double-Dot Aharonov-Bohm Interferometers
• Transmission Phase of a Quantum Dot with Kondo Correlation Near the Unitary Limit
• Transmission Phase Shift of a Quantum Dot with Kondo Correlations
• Aharonov-Bohm Interferometry with Interacting Quantum Dots: Spin Configurations, Asymmetric Interference Patterns, Bias-Voltage-Induced Aharonov-Bohm Oscillations, and Symmetries of Transport Coefficients
• Aharonov-Bohm oscillations and resonant tunneling in strongly correlated quantum dots
• Coherence and Partial Coherence in Interacting Electron Systems
• Thermopower of Aharonov-Bohm Interferometer with a Quantum Dot
• Interference in interacting quantum dots with spin
• Which phase is measured in the mesoscopic Aharonov-Bohm interferometer?
• Numerical Studies of Fano Resonance in Quantum dots Embedded in AB Rings
• Transmission Phase of an Isolated Coulomb-Blockade Resonance

Cited by in corpus (23)

• Coherent and Collective Quantum Optical Effects in Mesoscopic Systems
• Fano Resonance in a Quantum Wire with a Side-coupled Quantum Dot
• Mesoscopic Fano Effect in a Quantum Dot Embedded in an Aharonov-Bohm Ring
• Quantum Zeno Effect Explains Magnetic-Sensitive Radical-Ion-Pair Reactions
• Observation of Fano-Resonances in Single-Wall Carbon Nanotubes
• Magnetic field dependent transmission phase of a double dot system in a quantum ring
• Magnetic Fields Effects on the Electronic Conduction Properties of Molecular Ring Structures
• Charge transfer statistics of a molecular quantum dot with strong electron-phonon interaction
• Phase coherence in the inelastic cotunneling regime
• Resonant tunneling and Fano resonance in quantum dots with electron-phonon interaction
• Coulomb-interaction effects in full counting statistics of a quantum-dot Aharonov-Bohm interferometer
• Resonant and coherent transport through Aharonov-Bohm interferometers with coupled quantum dots
• Indirect Exchange Interaction between two Quantum Dots in an Aharonov-Bohm Ring
• Quasistates in a ring coupled to a reservoir and their relation to the Dicke effect
• Control of vibrational states by spin-polarized transport in a carbon nanotube resonator
• Spin current generation and detection by a double quantum dot structure
• Transport properties of a molecular quantum dot coupled to one-dimensional correlated electrons
• Absolutely continuous energy bands in the electronic spectrum of quasiperiodic ladder networks
• Andreev quantum dot with several conducting channels
• Thermal junctions controlled with Aharonov-Bohm phases
• Nonequilibrium transport properties of a double quantum dot in the Kondo regime
• Mesoscopic conductance fluctuations in a coupled quantum dot system
• Chaotic scattering through coupled cavities