# Exactly solvable model of the Mach-Zehnder electronic interferometer

Dmitry Bagrets (University of Cologne)

02.05.2013 at 12:00

In my talk I discuss the out-of-equilibrium properties in an electronic

Mach-Zehnder interferometer (MZI) realized with chiral edge states in the

integer quantum Hall regime. After reviewing the experimental status of the

problem, I present an exactly solvable theoretical model of the MZI, where

electrons are assumed to interact only when they are inside the interferometer.

I will show that in the limit of strong interaction the MZI problem becomes

intrinsically connected to the theory of electron full counting statistics

in mesoscopic transport and to asymptotic properties of the generalized

Toeplitz determinants and will demonstrate that the "lobe" pattern in the

Aharonov-Bohm visibility observed in many recent experiments can be understood

as the many-body interference effect resulting from the quantum superposition of

many-particle scattering amplitudes.

Ref: S. Ngo Dinh, D. Bagrets, and A. Mirlin, arXiv:1302.2866 (2013).

B101 - Theresienstr. 39