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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

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

We discuss transport experiments for various non-Abelian quantum Hall states, including the Read-Rezayi series and a paired spin singlet state. We analyze the signatures of the unique characters of these states on Coulomb blockaded…

介观与纳米尺度物理 · 物理学 2009-06-15 Roni Ilan , Eytan Grosfeld , Kareljan Schoutens , Ady Stern

We consider the tunneling current through a double point-contact Fabry-Perot interferometer such as used in recent experimental studies of the fractional quantum Hall plateau at filling fraction nu=5/2. We compare the predictions of several…

介观与纳米尺度物理 · 物理学 2009-10-05 Waheb Bishara , Parsa Bonderson , Chetan Nayak , Kirill Shtengel , J. K. Slingerland

To detect non-abelian statistics in the $\nu = 12/5$ quantum Hall state through interferometry, we apply an analysis similar to the ones proposed for the non-abelian $\nu = 5/2$ quantum Hall state. The result is that the amplitude of the…

介观与纳米尺度物理 · 物理学 2012-01-20 Suk Bum Chung , Michael Stone

We measure the magneto-conductance through a micron-sized quantum dot hosting about 500 electrons in the quantum Hall regime. In the Coulomb blockade, when the island is weakly coupled to source and drain contacts, edge reconstruction at…

We consider signatures of abelian and nonabelian quasiparticle statistics in quantum Hall Fabry-Perot interferometers. When quasiparticles enter and exit the interference cell, for instance due to glassy motion in the dopant layer, the…

介观与纳米尺度物理 · 物理学 2012-06-29 Bernd Rosenow , Steven H. Simon

A Fabry-Perot-type interferometer is experimentally realized for electrons in a semiconductor device. A special experimental geometry creates interference conditions for co-propagating electrons in quantum Hall edge states, which results in…

介观与纳米尺度物理 · 物理学 2009-11-13 E. V. Deviatov , A. Lorke

Several states were proposed as candidates for the $\nu=5/2$ quantum Hall plateau. We suggest an experiment which can determine the physical state. The proposal involves transport measurements in the geometry with three quantum Hall edges…

介观与纳米尺度物理 · 物理学 2009-11-13 D. E. Feldman , Feifei Li

We demonstrate that the differential magnetic susceptibility of a fractional quantum Hall disk, representing a Coulomb island in a Fabry--Perot interferometer, is exactly proportional to the island's conductance and its paramagnetic peaks…

介观与纳米尺度物理 · 物理学 2015-03-13 Lachezar S. Georgiev

Quantum Hall edge states offer avenues for quasiparticle interferometry, provided that the ratio between phase coherence length and quantum Hall interferometer (QHI) size is large enough. Maximizing this ratio by shrinking the QHI area…

介观与纳米尺度物理 · 物理学 2021-10-18 N. Moreau , B. Brun , S. Somanchi , K. Watanabe , T. Taniguchi , C. Stampfer , B. Hackens

The quantum Hall states at filling factors $\nu=5/2$ and $7/2$ are expected to have Abelian charge $e/2$ quasiparticles and non-Abelian charge $e/4$ quasiparticles. The non-Abelian statistics of the latter has been predicted to display a…

介观与纳米尺度物理 · 物理学 2023-03-09 R. L. Willett , K. Shtengel , C. Nayak , L. N. Pfeiffer , Y. J. Chung , M. L. Peabody , K. W. Baldwin , K. W. West , .

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

Recent schemes for experimentally probing non-abelian statistics in the quantum Hall effect are based on geometries where current-carrying quasiparticles flow along edges that encircle bulk quasiparticles, which are localized. Here we…

介观与纳米尺度物理 · 物理学 2009-11-13 B. Rosenow , B. I. Halperin , S. H. Simon , Ady Stern

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

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

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

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

We investigate nonlinear transport in electronic Fabry-Perot interferometers in the integer quantum Hall regime. For interferometers sufficiently large that Coulomb blockade effects are absent, a checkerboard-like pattern of conductance…

介观与纳米尺度物理 · 物理学 2009-11-14 D. T. McClure , Yiming Zhang , B. Rosenow , E. M. Levenson-Falk , C. M. Marcus , 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
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