Theory of non-equilibrium electronic Mach-Zehnder interferometer

Abstract

We develop a theoretical description of interaction-induced phenomena in an electronic Mach-Zehnder interferometer formed by integer quantum Hall edge states (with ν=1 and 2 channels) out of equilibrium. Using the non-equilibrium functional bosonization framework, we derive an effective action which contains all the physics of the problem. We apply the theory to the model of a short-range interaction and to a more realistic case of long-range Coulomb interaction. The theory takes into account interaction-induced effects of dispersion of plasmons, charging, and decoherence. In the case of long-range interaction we find a good agreement between our theoretical results for the visibility of Aharonov-Bohm oscillations and experimental data.

19 pages, 10 figures

References in corpus (27)

• Quantum Noise as an Entanglement Meter
• Direct measurement of the coherence length of edge states in the Integer Quantum Hall Regime
• Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
• Finite bias visibility of the electronic Mach-Zehnder interferometer
• Full counting statistics for noninteracting fermions: Exact results and the Levitov-Lesovik formula
• Decoherence and single electron charging in an electronic Mach-Zehnder interferometer
• Edge Channel Interference Controlled by Landau Level Filling
• Decoherence and interactions in an electronic Mach-Zehnder interferometer
• Resonant dephasing in the electronic Mach-Zehnder interferometer
• Noise dephasing in the edge states of the Integer Quantum Hall regime
• Wave-packet Formalism of Full Counting Statistics
• Electron transport in disordered Luttinger liquid
• Non-equilibrium Luttinger liquid: Zero-bias anomaly and dephasing
• Influence of dephasing on shot noise in an electronic Mach-Zehnder interferometer
• Nonequilibrium Dephasing in an Electronic Mach-Zehnder Interferometer
• The Behavior of Electronic Interferometers in the Non-Linear Regime
• Coherence oscillations in dephasing by non-Gaussian shot noise
• Effects of dephasing on shot-noise in an electronic Mach-Zehnder interferometer
• Scattering Approach to Counting Statistics in Quantum Pumps
• Fredholm determinants and the statistics of charge transport
• Tunneling spectroscopy of Luttinger-liquid structures far from equilibrium
• The electron lifetime in Luttinger liquids
• Factorization of quantum charge transport for non-interacting fermions
• Exactly Solved Model for an Electronic Mach-Zehnder Interferometer
• Dephasing due to electron-electron interaction in a diffusive ring
• Relaxation processes in a disordered Luttinger liquid
• Zero bias anomaly out of equilibrium

Cited by in corpus (17)

• Equilibration of quantum Hall edge states by an Ohmic contact
• Relaxation in driven integer quantum Hall edge states
• Macroscopic electron quantum coherence in a solid-state circuit
• Shot Noise Signatures of Charge Fractionalization in the $\nu =2$ Quantum Hall edge
• Counting Statistics and Dephasing Transition in an Electronic Mach-Zehnder Interferometer
• Influence of Coulomb interaction on the Aharonov-Bohm effect in an electronic Fabry-Perot interferometer
• Analytically solvable model of an electronic Mach-Zehnder interferometer
• Aharonov-Bohm oscillations in bilayer graphene edge state Fabry-Pérot interferometers
• Nonequilibrium functional bosonization of quantum wire networks
• Solution of a model for the two-channel electronic Mach-Zehnder interferometer
• Many-particle correlations in non-equilibrium Luttinger liquid
• Correlations in non-equilibrium Luttinger liquid and singular Fredholm determinants
• Tunneling into quantum wires: regularization of the tunneling Hamiltonian and consistency between free and bosonized fermions
• Visibility recovery by strong interaction in an electronic Mach-Zehnder interferometer
• Revisiting Coulomb diamond signatures in quantum Hall interferometers
• Coherent edge mixing and interferometry in quantum Hall bilayers
• Monitored quantum transport: full counting statistics of a quantum Hall interferometer