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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 investigate the temperature and voltage dependence of the quantum interference in an electronic Mach-Zehnder interferometer using edge channels in the integer quantum-Hall-regime. The amplitude of the interference fringes is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. V. Litvin , H. -P. Tranitz , W. Wegscheider , C. Strunk

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 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 investigate theoretically the behavior of the current oscillations in an electronic Mach-Zehnder interferometer (MZI) as a function of its source bias. Recently, The MZI interference visibility showed an unexplained lobe pattern behavior…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 I. Neder , E. Ginossar

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

The fractional quantum Hall states have long been predicted to be a testing ground of fractional (anyonic) exchange statistics. These topological states harbor quasiparticles with fractional charges of both abelian and non-abelian…

Mesoscale and Nanoscale Physics · Physics 2023-02-15 Hemanta Kumar Kundu , Sourav Biswas , Nissim Ofek , Vladimir Umansky , Moty Heiblum

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 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…

Mesoscale and Nanoscale Physics · Physics 2009-07-16 Ivan P. Levkivskyi , Eugene V. Sukhorukov

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 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 use an electronic Mach-Zehnder interferometer to explore the non-equilibrium coherence of the electron waves within the edge-states that form in the integral quantum Hall effect. The visibility of the interference as a function of…

Mesoscale and Nanoscale Physics · Physics 2014-01-03 E. Bieri , M. Weiss , O. Goktas , M. Hauser , S. Csonka , S. Oberholzer , C. Schonenberger

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Eugene V. Sukhorukov , Vadim V. Cheianov

We consider theoretically an electronic Mach-Zehnder interferometer constructed from quantum Hall edge channels and quantum point contacts, fed with single electrons from a dynamic quantum dot source. By considering the energy dependence of…

Mesoscale and Nanoscale Physics · Physics 2021-09-16 Clarissa J. Barratt , Sungguen Ryu , Lewis A. Clark , H. -S. Sim , Masaya Kataoka , Clive Emary

We develop a theoretical description of interaction-induced phenomena in an electronic Mach-Zehnder interferometer formed by integer quantum Hall edge states (with \nu =1 and 2 channels) out of equilibrium. Using the non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Martin Schneider , Dmitry A. Bagrets , Alexander D. Mirlin

We study the visibility of Aharonov-Bohm interference in an electronic Mach-Zehnder interferometer (MZI) in the integer quantum Hall regime. The visibility is controlled by the filling factor $\nu$ and is observed only between $\nu \approx…

Materials Science · Physics 2008-08-06 L. V. Litvin , A. Helzel , H. -P. Tranitz , W. Wegscheider , C. Strunk

The recent development of dynamic single-electron sources makes it possible to observe and manipulate the quantum properties of individual charge carriers in mesoscopic circuits. Here, we investigate multi-particle effects in an electronic…

Mesoscale and Nanoscale Physics · Physics 2021-06-14 Janne Kotilahti , Pablo Burset , Michael Moskalets , Christian Flindt

We analyze interference phenomena in the quantum-Hall analog of the Fabry-Perot interferometer, exploring the roles of the Aharonov-Bohm effect, Coulomb interactions, and fractional statistics on the oscillations of the resistance as one…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Bertrand I. Halperin , Ady Stern , Izhar Neder , Bernd Rosenow

Confined to a two-dimensional plane, electrons in a strong magnetic field travel along the edge in one-dimensional quantum Hall channels that are protected against backscattering. These channels can be used as solid-state analogues of…

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…

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