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Graphene matter in a strong magnetic field, realizing one-dimensional quantum Hall channels, provides a unique platform for studying electron interference. Here, using the Landauer-B\"uttiker formalism along with the tight-binding model, we…

Mesoscale and Nanoscale Physics · Physics 2022-05-26 M. Mirzakhani , N. Myoung , F. M. Peeters , H. C. Park

We have studied the zero-temperature statistics of the charge transfer between the two edges of Quantum Hall liquids of, in general, different filling factors, $\nu_{0,1}=1/(2 m_{0,1}+1)$, with $m_0 \geq m_1\geq 0$, forming Mach-Zehnder…

Strongly Correlated Electrons · Physics 2015-05-18 V. V. Ponomarenko , D. V. Averin

We propose a mesoscopic circuit in the quantum Hall effect regime comprising two uncorrelated single-particle sources and two distant Mach-Zehnder interferometers with magnetic fluxes, which allows in a controllable way to produce orbitally…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Janine Splettstoesser , Michael Moskalets , Markus Büttiker

We study fermions in a Mach-Zehnder interferometer, subject to a quantum-mechanical environment leading to inelastic scattering, decoherence, renormalization effects, and time-dependent conductance fluctuations. Both the loss of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Florian Marquardt

We analyze the critical behavior of the dephasing rate induced by short-range electron-electron interaction near an Anderson transition of metal-insulator or quantum Hall type. The corresponding exponent characterizes the scaling of the…

Mesoscale and Nanoscale Physics · Physics 2011-07-06 I. S. Burmistrov , S. Bera , F. Evers , I. V. Gornyi , A. D. Mirlin

In recent years, counter-intuitive results have shown that the quantum Hall edge states with topological protection can be dissipative. In this paper, we point out that the non-equilibrium nature of edge states in quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Peng-Yi Liu , Qing-Feng Sun

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

We compute the interference pattern of a Mach-Zehnder interferometer operating in the fractional quantum Hall effect. Our theoretical proposal is inspired by a remarkable experiment on edge states in the Integer Quantum Hall effect (IQHE).…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Thibaut Jonckheere , Pierre Devillard , Adeline Crepieux , Thierry Martin

We study the role of Coulomb interaction in an electronic Fabry-Perot interferometer (FPI) realized with chiral edge states in the integer quantum Hall regime in the limit of weak backscattering. Assuming that a compressible Coulomb island…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Stephane Ngo Dinh , Dmitry A. Bagrets

The coherence effects induced by external photons coupled to matter waves inside a Mach-Zehnder three-grating interferometer are analyzed. Alternatively to atom-photon entanglement scenarios, the model considered here only relies on the…

Quantum Physics · Physics 2012-04-09 M. Davidovic , A. S. Sanz , M. Bozic , D. Arsenovic

The behavior of electrons in condensed matter systems is mostly determined by the repulsive Coulomb interaction. However, under special circumstances the Coulomb interaction can be effectively attractive, giving rise to electron pairing in…

Mesoscale and Nanoscale Physics · Physics 2020-12-29 Giovanni A. Frigeri , Bernd Rosenow

Recently, Chen \em et al\rm.\ [New J. Phys. {\bf 13} (2011) 083018] presented experimental results, accompanied by quantum-mechanical analysis, showing that the quantum interference behavior of Bell states could be simulated in a modified…

Quantum Physics · Physics 2015-05-30 Jeffrey H. Shapiro

The spatial distribution of the incompressible edge states (IES) is obtained for a geometry which is topologically equivalent to an electronic Mach-Zehnder interferometer, taking into account the electron-electron interactions within a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. Siddiki , A. E. Kavruk , T. Ozturk , U. Atav M. Sahin , T. Hakioglu

We realize a nanoscale-area Mach-Zehnder interferometer with co-propagating quantum Hall spin-resolved edge states and demonstrate the persistence of gate-controlled quantum interference oscillations, as a function of an applied magnetic…

The quantum coherence of electrons can be probed by studying weak localization corrections to the conductivity. Interaction effects lead to dephasing, with electron-electron interactions being the important intrinsic mechanism. A…

Condensed Matter · Physics 2007-05-23 D. S. Golubev , A. D. Zaikin , Gerd Schön

We report on quantum interference between a pair of counterpropagating quantum Hall edge states that are separated by a high quality tunnel barrier. Observed Aharonov-Bohm oscillations are analyzed in terms of resonant tunneling between…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. Yang , W. Kang , L. N. Pfeiffer , K. W. Baldwin , K. W. West , Eun-Ah Kim , E. Fradkin

We propose and analyze a mesoscopic device producing on-demand entangled pairs of electrons. The system consists of two capacitively coupled Mach-Zehnder interferometers implemented in a quantum Hall structure. A pair of electron…

Mesoscale and Nanoscale Physics · Physics 2014-03-07 A. A. Vyshnevyy , A. V. Lebedev , G. B. Lesovik , G. Blatter

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

The unique properties of quantum Hall devices arise from the ideal one-dimensional edge states that form in a two-dimensional electron system at high magnetic field. Tunnelling between edge states across a quantum point contact (QPC) has…

Mesoscale and Nanoscale Physics · Physics 2013-05-10 F. Martins , S. Faniel , B. Rosenow , H. Sellier , S. Huant , M. G. Pala , L. Desplanque , X. Wallart , V. Bayot , B. Hackens

We theoretically analyze a Mach-Zehnder interferometer with trapped condensates, and find that it is surprisingly stable against the nonlinearity induced by inter-particle interactions. The phase sensitivity, which we study for number…

Quantum Physics · Physics 2011-08-17 Julian Grond , Ulrich Hohenester , Joerg Schmiedmayer , Augusto Smerzi
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