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We develop a theoretical description of a Mach-Zehnder interferometer built from integer quantum Hall edge states, with an emphasis on how electron-electron interactions produce decoherence. We calculate the visibility of interference…

Mesoscale and Nanoscale Physics · Physics 2009-01-22 J. T. Chalker , Yuval Gefen , M. Y. Veillette

We study theoretically electronic Mach-Zehnder interferometers built from integer quantum Hall edge states, showing that the results of recent experiments can be understood in terms of multiparticle interference effects. These experiments…

Strongly Correlated Electrons · Physics 2010-05-27 D. L. Kovrizhin , J. T. Chalker

We report the observation of an unpredicted behavior of interfering 2D electrons in the integer quantum Hall effect (IQHE) regime via a utilization of an electronic analog of the well-known Mach-Zehnder interferometer (MZI). The beauty of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. Neder , M. Heiblum , Y. Levinson , D. Mahalu , V. Umansky

We present an experiment where we tune the decoherence in a quantum interferometer using one of the simplest object available in the physic of quantum conductors : an ohmic contact. For that purpose, we designed an electronic Mach-Zehnder…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 P. Roulleau , F. Portier , P. Roche , A. Cavanna , G. Faini , U. Gennser , D. Mailly

We performed the conductance and the shot noise measurements in an electronic Mach-Zehnder interferometer. The visibility of the interference is investigated as a function of the electron temperature that is derived from the thermal noise…

We present an experiment where the quantum coherence in the edge states of the integer quantum Hall regime is tuned with a decoupling gate. The coherence length is determined by measuring the visibility of quantum interferences in a…

Mesoscale and Nanoscale Physics · Physics 2012-07-11 P-A. Huynh , F. Portier , H. le Sueur , G. Faini , U. Gennser , D. Mailly , F. Pierre , W. Wegscheider , P. Roche

We consider a class of models of non-equilibrium electronic Mach-Zehnder interferometers built on integer quantum Hall edges states. The models are characterized by the electron-electron interaction being restricted to the inner part of the…

Mesoscale and Nanoscale Physics · Physics 2013-06-03 Stéphane Ngo Dinh , Dmitry A. Bagrets , Alexander D. Mirlin

We study Coulomb interactions in the finite bias response of Mach-Zehnder interferometers, which exploit copropagating edge states in the integer quantum Hall effect. Here, interactions are particularly important since the coherent coupling…

Mesoscale and Nanoscale Physics · Physics 2013-07-31 Luca Chirolli , Fabio Taddei , Rosario Fazio , Vittorio Giovannetti

We experimentally realize quantum Hall Mach-Zehnder interferometer which operates far beyond the equilibrium. The operation of the interferometer is based on allowed intra-edge elastic transitions within the same Landau sublevel in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 E. V. Deviatov , A. Ganczarczyk , A. Lorke , G. Biasiol , L. Sorba

We study dephasing in an electronic Mach-Zehnder (MZ) interferometer based on quantum Hall (QH) edge states by a micromiter-sized Ohmic contact embedded in one of its arms. We find that at the filling factor $\nu=1$, as well as in the case…

Mesoscale and Nanoscale Physics · Physics 2018-07-18 Edvin G. Idrisov , Ivan P. Levkivskyi , Eugene V. Sukhorukov

In a quantum Hall interferometer, the dependence of the signal on source-drain voltage is controlled by details of the edge physics, such as the velocities of edge modes and the interaction between them and with screening layers. Such…

Mesoscale and Nanoscale Physics · Physics 2024-08-30 Zezhu Wei , D. E. Feldman , Bertrand I. Halperin

Two important features of mesoscopic Aharonov-Bohm (A-B) electronic interferometers are analyzed: decoherence due to coupling with other degrees of freedom and the coupled transport of charge and heat. We first review the principles of…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 O. Entin-Wohlman , A. Aharony , Y. Imry

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ivan P. Levkivskyi , Eugene V. Sukhorukov

We study nonequilibrium properties of an electronic Mach-Zehnder interferometer built from integer quantum Hall edge states at filling fraction $\nu{=}1$. For a model in which electrons interact only when they are inside the interferometer,…

Mesoscale and Nanoscale Physics · Physics 2009-10-27 D. L. Kovrizhin , J. T. Chalker

We study electron decoherence by measuring the temperature dependence of Aharonov-Bohm (AB) oscillations in quasi-1D rings, etched in a high-mobility GaAs/GaAlAs heterostructure. The oscillation amplitude is influenced both by…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. E. Hansen , A. Kristensen , S. Pedersen , C. B. Sorensen , P. E. Lindelof

Double-slit electron interferometers, fabricated in high mobility two-dimensional electron gas (2DEG), proved to be very powerful tools in studying coherent wave-like phenomena in mesoscopic systems. However, they suffer from small fringe…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yang Ji , Yunchul Chung , D. Sprinzak , M. Heiblum , D. Mahalu , Hadas Shtrikman

This paper theoretically studies the quantum coherence of an electronic state on an artificial chiral Tomonaga-Luttinger (TL) liquid. Coulomb interaction between copropagating integer quantum Hall edge channels causes the TL liquid nature…

Mesoscale and Nanoscale Physics · Physics 2025-08-20 Eiki Iyoda , Takase Shimizu , Masayuki Hashisaka

Phase relaxation of electrons transferring through an electromechanical transistor is studied using the Aharonov-Bohm interferometer. With the approach of quantum master equation, the phase properties of an electron are numerically analyzed…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Wenxi Lai , Yunhui Xing , Zhongshui Ma

We analyze the magnetic field and gate voltage dependence of the longitudinal resistance in an integer quantum Hall Fabry-P\'{e}rot interferometer, taking into account the interactions between an interfering edge mode, a non-interfering…

Mesoscale and Nanoscale Physics · Physics 2019-08-16 Giovanni A. Frigeri , Daniel D. Scherer , Bernd Rosenow

We compute the temperature, voltage, and magnetic field dependences of the resistance oscillations of a model interferometer designed to measure the fractional statistics of the quasiparticles in the fractional quantum Hall (FQH) effect.…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Eun-Ah Kim
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