MACH-ZEHNDER INTERFEROMETER IN THE INTEGER QUANTUM HALL REGIME: A QUANTUM DISSIPATIVE MODEL

We study properties of the simplest type of electron interferometer, the Mach-Zehnder Interferometer (MZI) in the Integer Quantum Hall (IQH) regime. In this work, in order to analyse the novel experimental results reported by I. Neder et al. [Phys. Rev. Lett.96, 016804 (2006)] which makes questionable the validity of Landauer-Buttiker formalism in the IQH regime, we have derived expressions for tunneling currents through the electronic MZI system whithin the model of quantum dissipation induced by an environment. In this model the MZI system is coupled to a dissipative environment, where the dissipation is introduced by coupling the MZI system to a frequency-independent Ohmic impedance Z(ω) = R.