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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

In quantum Hall systems with two narrow constrictions, tunneling between opposite edges can give rise to quantum interference and Aharonov-Bohm-like oscillations of the conductance. When there is an integer quantized Hall state within the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 B. Rosenow , B. I. Halperin

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…

Mesoscale and Nanoscale Physics · Physics 2023-04-26 James Nakamura , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

We study the time-dependent dynamical phase of fractional quasiparticles in quantum Hall states using Ramsey interferometry. A Ramsey two-pulse voltage modulation generates an interference term in the current noise of a quantum point…

Strongly Correlated Electrons · Physics 2019-04-24 Tal Goren , Karyn Le Hur

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

We report experiments in a large, 2.5 micron diameter Fabry-Perot quantum Hall interferometer with two tunneling constrictions. Interference fringes are observed as conductance oscillations as a function of applied magnetic field (the…

Strongly Correlated Electrons · Physics 2009-12-01 Ping V. Lin , F. E. Camino , V. J. Goldman

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 report experiments on a quantum electron interferometer fabricated from high mobility, low density GaAs/AlGaAs heterostructure material. In this device, a nearly circular electron island is defined by four front gates deposited in etched…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. E. Camino , W. Zhou , V. J. Goldman

In two dimensions, the laws of physics permit existence of anyons, particles with fractional statistics which is neither Fermi nor Bose. That is, upon exchange of two such particles, the quantum state of a system acquires a phase which is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. E. Camino , Wei Zhou , V. J. Goldman

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

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 report experiments on a Laughlin quasiparticle interferometer where the entire system is on the 1/3 primary fractional quantum Hall plateau. Electron-beam lithography is used to define an approximately circular 2D electron island…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. E. Camino , Wei Zhou , V. J. Goldman

The discovery of the fractional quantum Hall effect in GaAs-based semiconductor devices has lead to new advances in condensed matter physics, in particular the possibility for exotic, topological phases of matter that possess fractional,…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Z. Papic , D. A. Abanin , Y. Barlas , R. N. Bhatt

Interference of fractionally charged quasi-particles is expected to lead to Aharonov-Bohm oscillations with periods larger than the flux quantum. However, according to the Byers-Yang theorem, observables of an electronic system are…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Ivan P. Levkivskyi , Juerg Froehlich , Eugene V. Sukhorukov

One remarkable feature of strongly correlated systems is the phenomenon of fractionalization where quasiparticles carry only a fraction of the charge or spin of the elementary constituents. Such quasiparticles often present anyonic…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Tom Morel , June-Young M. Lee , H. -S. Sim , Christophe Mora

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 investigate the temperature and voltage dependence of the quantum interference in an electronic Mach-Zehnder interferometer using edge channels in the integer quantum-Hall-regime. The amplitude of the interference fringes is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. V. Litvin , H. -P. Tranitz , W. Wegscheider , C. Strunk

Aharonov-Bohm (AB) interference of fractional quasiparticles in the quantum Hall Effect generally reveals their elementary charge ($e^*$)[1-15]. Recently, our interferometry experiments with several particle states reported flux periods of…

Mesoscale and Nanoscale Physics · Physics 2025-06-16 Bikash Ghosh , Maria Labendik , Vladimir Umansky , Moty Heiblum , David F. Mross

We study the quantum phases of spinless fermion at one-third filling on a Kagome lattice featuring a quadratic band touching Fermi point. In the presence of weak first and second nearest-neighbor repulsive interactions ($V_1$ and $V_2$), we…

Strongly Correlated Electrons · Physics 2018-12-05 Yafei Ren , T. -S. Zeng , W. Zhu , D. N. Sheng

We propose an experimental scheme to realize and detect the quantum anomalous Hall effect in an anisotropic square optical lattice which can be generated from available experimental set-ups of double-well lattices with minor modifications.…

Strongly Correlated Electrons · Physics 2015-03-13 Xiong-Jun Liu , Xin Liu , Congjun Wu , Jairo Sinova