Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2

Abstract

We propose a simple physical model which describes dephasing in the electronic Mach-Zehnder interferometer at filling factor 2. This model explains very recent experimental results, such as the unusual lobe-type structure in the visibility of Aharonov-Bohm oscillations, phase rigidity, and the asymmetry of the visibility as a function of transparencies of quantum point contacts. According to our model, dephasing in the interferometer originates from strong Coulomb interaction at the edge of two-dimensional electron gas. The long-range character of the interaction leads to a separation of the spectrum of edge excitations on slow and fast mode. These modes are excited by electron tunneling and carry away the phase information. The new energy scale associated with the slow mode determines the temperature dependence of the visibility and the period of its oscillations as a function of voltage bias. Moreover, the variation of the lobe structure from one experiment to another is explained by specific charging effects, which are different in all experiments. We propose to use a strongly asymmetric Mach-Zehnder interferometer with one arm being much shorter than the other for the spectroscopy of quantum Hall edge states.

14 pages, 11 figures

References in corpus (10)

• Direct measurement of the coherence length of edge states in the Integer Quantum Hall Regime
• Finite bias visibility of the electronic Mach-Zehnder interferometer
• Decoherence and interactions in an electronic Mach-Zehnder interferometer
• Edge States and Interferometers in the Pfaffian and anti-Pfaffian States
• 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
• Effects of dephasing on shot-noise in an electronic Mach-Zehnder interferometer
• Bulk-edge coupling in the non-abelian $\nu =5/2$ quantum Hall interferometer
• Mach-Zehnder interferometer in the Fractional Quantum Hall regime

Cited by in corpus (9)

• Edge-State Velocity and Coherence in a Quantum Hall Fabry-Perot Interferometer
• Edge Channel Interference Controlled by Landau Level Filling
• Tunneling spectroscopy of Luttinger-liquid structures far from equilibrium
• Exactly Solved Model for an Electronic Mach-Zehnder Interferometer
• Realistic modelling of quantum point contacts subject to high magnetic fields and with current bias at out of linear response regime
• Universality of Bias- and Temperature-induced Dephasing in Ballistic Electronic Interferometers
• Dephasing by electron-electron interactions in a ballistic Mach-Zehnder interferometer
• Universal dephasing in a chiral 1D interacting fermion system
• Electronic interferometer capacitively coupled to a quantum dot