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We compute the exact single-particle time-resolved dynamics of electronic Mach-Zehnder interferometers based on Landau edge-states transport, and assess the effect of the spatial localization of carriers on the interference pattern. The…

Mesoscale and Nanoscale Physics · Physics 2016-04-29 Andrea Beggi , Paolo Bordone , Fabrizio Buscemi , Andrea Bertoni

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 develop the theory of electronic Mach-Zehnder interferometers built from quantum Hall edge states at Landau level filling factor \nu = 2, which have been investigated in a series of recent experiments and theoretical studies. We show…

Strongly Correlated Electrons · Physics 2013-04-11 M. J. Rufino , D. L. Kovrizhin , J. T. Chalker

We propose direct experimental tests of the effective models of fractional quantum Hall edge states. We first recall a classification of effective models based on the requirement of anomaly cancellation and illustrate the general…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Ivan P. Levkivskyi , Alexey Boyarsky , Juerg Froehlich , Eugene V. Sukhorukov

We demonstrate a 2-grating free electron Mach-Zehnder interferometer constructed in a transmission electron microscope. A symmetric binary phase grating and condenser lens system forms two spatially separated, focused probes at the sample…

Instrumentation and Detectors · Physics 2021-10-13 Cameron W. Johnson , Amy E. Turner , Benjamin J. McMorran

Inter-channel Coulomb interaction mixes charge excitations in copropagating quantum Hall edge channels, generating coupled excitation eigenmodes propagating at different speeds. This mode transformation causes an electron state to split…

Mesoscale and Nanoscale Physics · Physics 2025-05-30 Takase Shimizu , Eiki Iyoda , Satoshi Sasaki , Akira Endo , Shingo Katsumoto , Norio Kumada , Masayuki Hashisaka

We use a novel scanning electron Mach-Zehnder interferometer constructed in a conventional transmission electron microscope to perform inelastic interferometric imaging with free electrons. An electron wave function is prepared in two paths…

Mesoscale and Nanoscale Physics · Physics 2022-04-20 Cameron W. Johnson , Amy E. Turner , F. Javier García de Abajo , Benjamin J. McMorran

We have studied theoretically the tunneling between two edges of Quantum Hall liquids (QHL) of different filling factors, $\nu_{0,1}=1/(2 m_{0,1}+1)$, with $m_0 \geq m_1\geq 0$, through two separate point contacts in the geometry of…

Strongly Correlated Electrons · Physics 2010-05-11 Vadim V. Ponomarenko , Dmitri V. Averin

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

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

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 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

New experiments are presented on the transmission of electron waves through a 2DEG (2 dimensional electron gas) ring with a gate on top of one of the branches. Magnetoconductance oscillations are observed, and the phase of the Aharanov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 G. Cernicchiaro , T. Martin , K. Hasselbach , D. Mailly , A. Benoit

We consider tunneling between two edges of Quantum Hall liquids (QHL) of filling factors $\nu_{0,1}=1/(2 m_{0,1}+1)$, with $m_0 \geq m_1\geq 0$, through two point contacts forming Mach-Zehnder interferometer. Quasi-particle description of…

Mesoscale and Nanoscale Physics · Physics 2007-08-15 Vadim V. Ponomarenko , Dmitri V. Averin

Anyonic Fabry-P\'erot and Mach-Zehnder interferometers have been proposed theoretically and implemented experimentally as tools to probe electric charges and statistics of anyons. The experimentally observed visibility of Aharonov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2024-01-04 Navketan Batra , Zezhu Wei , Smitha Vishveshwara , D. E. Feldman

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 have studied the zero-temperature statistics of charge transfer between the two edges of Quantum Hall liquids with filling factors $\nu_{0,1}=1/(2 m_{0,1}+1)$ forming Mach-Zehnder interferometer. The known Bethe ansatz solution for…

Strongly Correlated Electrons · Physics 2015-05-13 Vadim V. Ponomarenko , Dmitri V. Averin

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 study theoretically electron interference in a Mach--Zehnder-like geometry formed by four zigzag graphene nanoribbons (ZGNRs) arranged in parallel pairs, one on top of the other, such that they form intersection angles of 60$^\circ$.…

Mesoscale and Nanoscale Physics · Physics 2023-07-04 Sofia Sanz , Nick Papior , Géza Giedke , Daniel Sánchez-Portal , Mads Brandbyge , Thomas Frederiksen

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
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