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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…

介观与纳米尺度物理 · 物理学 2021-07-06 James Nakamura , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

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…

介观与纳米尺度物理 · 物理学 2015-05-20 Bertrand I. Halperin , Ady Stern , Izhar Neder , 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…

介观与纳米尺度物理 · 物理学 2009-09-19 Ping V. Lin , F. E. Camino , V. J. Goldman

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…

介观与纳米尺度物理 · 物理学 2013-01-14 R. L. Willett , L. N. Pfeiffer , K. W. West , M. Manfra

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…

介观与纳米尺度物理 · 物理学 2024-02-13 Sourav Biswas , Hemanta Kumar Kundu , Rajarshi Bhattacharyya , Vladimir Umansky , Moty Heiblum

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.…

介观与纳米尺度物理 · 物理学 2009-11-11 Eun-Ah Kim

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…

介观与纳米尺度物理 · 物理学 2016-08-24 Itamar Sivan , Hyungkook Choi , Amir Rosenblatt , Jinhong Park , Yuval Gefen , Diana Mahalu , Vladimir Umansky

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…

介观与纳米尺度物理 · 物理学 2022-02-02 James Nakamura , Shuang Liang , Geoffrey C. Gardner , Michael J. 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…

介观与纳米尺度物理 · 物理学 2019-08-16 Giovanni A. Frigeri , Daniel D. Scherer , Bernd Rosenow

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…

Two distinct types of magnetoresistance oscillations are observed in two electronic Fabry-Perot interferometers of different sizes in the integer quantum Hall regime. Measuring these oscillations as a function of magnetic field and gate…

介观与纳米尺度物理 · 物理学 2012-11-19 Yiming Zhang , D. T. McClure , E. M. Levenson-Falk , C. M. Marcus , L. N. Pfeiffer , K. W. West

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,…

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…

介观与纳米尺度物理 · 物理学 2015-10-20 Sarah Levy Schreier , Ady Stern , Bernd Rosenow , Bertrand. I. Halperin

Experimental study of quantum Hall corrals reveals Aharonov-Bohm-Like (ABL) oscillations. Unlike the Aharonov-Bohm effect which has a period of one flux quantum, $\Phi_{0}$, the ABL oscillations possess a flux period of $\Phi_{0}/f$, where…

介观与纳米尺度物理 · 物理学 2007-08-21 M. D. Godfrey , P. Jiang , W. Kang , S. H. Simon , K. W. Baldwin , L. N. Pfeiffer , K. W. West

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…

介观与纳米尺度物理 · 物理学 2015-05-28 Stephane Ngo Dinh , Dmitry A. Bagrets

Here, we report on our results where self-consistent calculations are performed to investigate the interference conditions, numerically. We employ the successful 4$^{th}$ order grid technique to obtain the actual electrostatic quantities of…

介观与纳米尺度物理 · 物理学 2010-03-16 E. Cicek , A. Siddiki

The charge and exchange statistics of an elementary excitation manifest in quantum coherent oscillations that can be explored in interferometry measurements. Quantum Hall interferometers are primary tools to uncover unconventional quantum…

介观与纳米尺度物理 · 物理学 2023-02-08 Hailong Fu , Ke Huang , Kenji Watanabe , Takashi Taniguchi , Morteza Kayyalha , Jun Zhu

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…

介观与纳米尺度物理 · 物理学 2015-05-14 Nissim Ofek , Aveek Bid , Moty Heiblum , Ady Stern , Vladimir Umansky , Diana Mahalu

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…

凝聚态物理 · 物理学 2007-05-23 C. de C. Chamon , D. E. Freed , S. A. Kivelson , S. L. Sondhi , X. G. Wen

Electronic Fabry-P{\'e}rot interferometry is a powerful method to probe quasiparticle charge and anyonic braiding statistics in the fractional quantum Hall regime. We extend this technique to the hierarchy $\nu = 2/5$ fractional quantum…

介观与纳米尺度物理 · 物理学 2023-04-26 James Nakamura , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra
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