Solution of a model for the two-channel electronic Mach-Zehnder interferometer

Detecting non-Abelian Statistics with Electronic Mach-Zehnder Interferometer

Fractionally charged quasiparticles in the quantum Hall state with filling factor $ν=5/2$ 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 non-analytic dependence on the tunneling amplitudes which can be controlled by gate voltages.

Shot Noise in Anyonic Mach-Zehnder Interferometer

We show how shot noise in an electronic Mach-Zehnder interferometer in the fractional quantum Hall regime probes the charge and statistics of quantum Hall quasiparticles. The dependence of the noise on the magnetic flux through the interferometer allows for a simple way to distinguish Abelian from non-Abelian quasiparticle statistics. In the Abelian case, the Fano factor (in units of the electron charge) is always lower than unity. In the non-Abelian case, the maximal Fano factor as a function of the magnetic flux exceeds one.

二维电子气单边缘上的任意子马赫-曾德尔干涉仪

Anyonic Mach-Zehnder interferometer on a single edge of a 2D electron gas

针对任意子干涉仪中高透射率下理论表达式缺失的问题，提出一种替代的马赫-曾德尔干涉仪，使任意子在量子霍尔液体边缘的同向手性通道间隧穿，并获得了适用于任意透射率的简单精确解。

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 [1]. We argue that the measured lobe structure in the visibility of oscillations and the phase rigidity result from a strong long-range interaction between two adjacent counter-propagating edge states, which leads to a resonant scattering of plasmons. The visibility and phase shift, which we expressed in terms of the transmission coefficient for plasmons, can be used for the tomography of edge states.

Noise-induced phase transition in the electronic Mach-Zehnder interferometer

We consider dephasing in the electronic Mach-Zehnder interferometer strongly coupled to current noise created by a voltage biased quantum point contact (QPC). We find the visibility of Aharonov-Bohm oscillations as a function voltage bias and express it via the cumulant generating function of noise. In the large-bias regime, high-order cumulants of current add up to cancel the dilution effect of a QPC. This leads to an abrupt change in the dependence of the visibility on voltage bias which occurs at the QPC's transparency T=1/2. Quantum fluctuations in the vicinity of this point smear out the …

Mach-Zehnder interferometer in the Fractional Quantum Hall regime

We consider tunneling between two edges of Quantum Hall liquids (QHL) of filling factors $ν_{0,1}=1/(2 m_{0,1}+1)$, with $m_0 \geq m_1\geq 0$, through two point contacts forming Mach-Zehnder interferometer. Quasi-particle description of the interferometer is derived explicitly through the instanton duality transformation of the initial electron model. For $m_{0}+m_{1}+1\equiv m>1$, tunneling of quasiparticles of charge $e/m$ leads to non-trivial $m$-state dynamics of effective flux through the interferometer, which restores the regular ``electron'' periodicity of the current in flux. The exact…