Theory of the nonequilibrium electronic Mach-Zehnder interferometer

Nonequilibrium dephasing in an electronic Mach-Zehnder interferometer.

We study nonequilibrium dephasing in an electronic Mach-Zehnder interferometer. We demonstrate that the shot noise at the beam splitter of the interferometer generates an ensemble of nonequilibrium electron density configurations and that electron interactions induce configuration-specific phase shifts of an interfering electron. The resulting dephasing exhibits two characteristic features, a l...

Mach–Zehnder–Fano interferometer

We introduce a concept of the Mach–Zehnder–Fano interferometer by inserting a cavity exhibiting Fano resonance into a conventional interferometer. By employing the scattering-matrix approach, we demonstrate that the transmission becomes sensitive to a position of the cavity such that an asymmetric structure exhibits a series of narrow resonances with almost perfect reflection. We discuss how to...

Resonant dephasing in the electronic Mach-Zehnder interferometer.

We address the recently observed unexpected behavior of Aharonov-Bohm oscillations in the electronic Mach-Zehnder interferometer that was realized experimentally in a quantum Hall system [I. Neder, Phys. Rev. Lett. 96, 016804 (2006)10.1103/PhysRevLett.96.016804]. We argue that the measured lobe structure in the visibility of oscillations and the phase rigidity result from a strong long-range in...

The Optics of the Mach-Zehnder Interferometer

Detecting non-Abelian statistics with an electronic Mach-Zehnder interferometer.

Fractionally charged quasiparticles in the quantum Hall state with a filling factor nu=5/2 are expected to obey non-Abelian statistics. We demonstrate that their statistics can be probed by transport measurements in an electronic Mach-Zehnder interferometer. The tunneling current through the interferometer exhibits a characteristic dependence on the magnetic flux and a nonanalytic dependence on...