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Related papers: Theory of the Fabry-Perot Quantum Hall Interferome…

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Interferometry is a vital tool for studying fundamental features in the quantum Hall effect (QHE). For instance, Aharonov-Bohm (AB) interference in a quantum Hall interferometer can probe the wave-particle duality of electrons and…

Mesoscale and Nanoscale Physics · Physics 2024-02-13 Sourav Biswas , Hemanta Kumar Kundu , Rajarshi Bhattacharyya , Vladimir Umansky , Moty Heiblum

Interference of edge channels is expected to be a prominent tool for studying statistics of charged quasiparticles in the quantum Hall effect (QHE) [A. Stern (2008), Ann. Phys. 1:204; C. Chamon et al. (1997), Phys. Rev. B, 55:2331]. We…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Nissim Ofek , Aveek Bid , Moty Heiblum , Ady Stern , Vladimir Umansky , Diana Mahalu

We demonstrate operation of a small Fabry-Perot interferometer in which highly coherent Aharonov-Bohm oscillations are observed in the integer and fractional quantum Hall regimes. Using a novel heterostructure design, Coulomb effects are…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 James Nakamura , Saeed Fallahi , Harshad Sahasrabudhe , Rajib Rahman , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

Design of a Fabry-Perot (double point contact) interferometer to measure fractional quantum Hall effect quasiparticle charge properties, and in particular the 5/2 excitations, poses an important trade-off: the device size should be…

Mesoscale and Nanoscale Physics · Physics 2013-01-14 R. L. Willett , L. N. Pfeiffer , K. W. West , M. Manfra

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

An apparent h/fe Aharonov-Bohm flux period, where f is an integer, has been reported in coherent quantum Hall devices. Such sub-period is not expected for non-interacting electrons and thus is thought to result from interelectron Coulomb…

Mesoscale and Nanoscale Physics · Physics 2009-09-19 Ping V. Lin , F. E. Camino , V. J. Goldman

Studies of electronic interferometers, based on edge channel transport in the quantum Hall effect regime, have been stimulated by the search for evidence of abelian and non-abelian anyonic statistics of fractional charges.These studies…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Itamar Sivan , Hyungkook Choi , Amir Rosenblatt , Jinhong Park , Yuval Gefen , Diana Mahalu , Vladimir Umansky

Quasi-particles in fractional quantum Hall states are collective excitations that carry fractional charge and anyonic statistics. While the fractional charge affects semi-classical characteristics such as shot noise and charging energies,…

Quantum Hall interferometers have been used to probe fractional charge, and more recently, fractional statistics of quasiparticles. Theoretical predictions have been made regarding the effect of electrostatic coupling on interferometer…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 James Nakamura , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

We study quantum Hall interferometers in which the interference loop encircles a quantum anti-dot. We base our study on thermodynamic considerations, which we believe reflect the essential aspects of interference transport phenomena. We…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 Sarah Levy Schreier , Ady Stern , Bernd Rosenow , Bertrand. I. Halperin

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

We propose a device, consisting of a Hall bar with two weak barriers, that can be used to study quantum interference effects in a strongly correlated system. We show how the device provides a way of measuring the fractional charge and…

Condensed Matter · Physics 2007-05-23 C. de C. Chamon , D. E. Freed , S. A. Kivelson , S. L. Sondhi , X. G. Wen

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

Position exchange of non-Abelian anyons affects the quantum state of their system in a topologically-protected way. Their expected manifestations in even-denominator fractional quantum Hall (FQH) systems offer the opportunity to directly…

We examine the relation between different electronic transport phenomena in a Fabry-Perot interferometer in the fractional quantum Hall regime. In particular, we study the way these phenomena reflect the statistics of quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2010-08-24 Ady Stern , Bernd Rosenow , Roni Ilan , Bertrand I. Halperin

Utilizing an electronic Fabry-Perot interferometer in which Coulomb charging effects are suppressed, we report experimental observation of anyonic braiding statistics for the $\nu=1/3$ fractional quantum Hall state. Strong Aharonov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2021-07-06 James Nakamura , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

Quantum interferometers are powerful tools for probing the wave-nature and exchange statistics of indistinguishable particles. Of particular interest are interferometers formed by the chiral, one-dimensional (1D) edge channels of the…

Quantum Hall Fabry-P\'erot interferometers are sensitive to the properties of bulk quasiparticles enclosed by the interferometer loop, with the interference phase containing information about both the quasiparticle statistics and the…

Mesoscale and Nanoscale Physics · Physics 2025-09-15 N. L. Samuelson , L. A. Cohen , W. Wang , S. Blanch , T. Taniguchi , K. Watanabe , M. P. Zaletel , A. F. Young

We study the effect of Coulomb interaction on the full counting statistics of an Aharonov-Bohm (AB) interferometer with a single-level quantum dot in one arm in the regime of weak dot-lead and lead-lead tunnel couplings. In the absence of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Daniel Urban , Jürgen König , Rosario Fazio

We present a microscopic picture of quantum transport in quantum antidots in the quantum Hall regime taking electron interactions into account. We discuss the edge state structure, energy level evolution, charge quantization and…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 S. Ihnatsenka , I. V. Zozoulenko , G. Kirczenow
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