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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 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

Anyon colliders -- quantum Hall devices where dilute quasiparticle beams collide at a quantum point contact -- provide an interferometer-free probe of anyonic exchange phases through current cross correlations. Within a non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2025-10-15 Bernd Rosenow , Bertrand 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 propose a method to extract the mutual exchange statistics of the anyonic excitations of a general Abelian fractional quantum Hall state, by comparing the tunneling characteristics of a quantum point contact in two different experimental…

Mesoscale and Nanoscale Physics · Physics 2023-11-03 Noam Schiller , Yotam Shapira , Ady Stern , Yuval Oreg

Anyons are low-dimensional quasiparticles that obey fractional statistics, hence interpolating between bosons and fermions. In two dimensions, they exist as elementary excitations of fractional quantum Hall states and they are believed to…

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

Two-dimensional systems can host exotic particles called anyons whose quantum statistics are neither bosonic nor fermionic. For example, the elementary excitations of the fractional quantum Hall effect at filling factor $\nu=1/m$ (where m…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 H. Bartolomei , M. Kumar , R. Bisognin , A. Marguerite , J. -M. Berroir , E. Bocquillon , B. Plaçais , A. Cavanna , Q. Dong , U. Gennser , Y. Jin , G. Fève

Engineering and studying few-electron states in ballistic conductors is a key step towards understanding entanglement in quantum electronic systems. In this Letter, we introduce the intrinsic two-electron coherence of an electronic source…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 E. Thibierge , D. Ferraro , B. Roussel , C. Cabart , A. Marguerite , G. Fève , P. Degiovanni

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

Anyons, particles displaying a fractional exchange statistics intermediate between bosons and fermions, play a central role in the fractional quantum Hall effect and various spin lattice models, and have been proposed for topological…

Quantum Physics · Physics 2021-07-01 S. Francesconi , A. Raymond , N. Fabre , A. Lema^itre , M. I. Amanti , P. Milman , F. Baboux , S. Ducci

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

The dichotomy between fermions and bosons is at the root of many physical phenomena, from metallic conduction of electricity to super-fluidity, and from the periodic table to coherent propagation of light. The dichotomy originates from the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ady Stern

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

The experimental discovery of the fractional Hall conductivity in two-dimensional electron gases revealed new types of quantum particles, called anyons, which are beyond bosons and fermions as they possess fractionalized exchange…

Strongly Correlated Electrons · Physics 2021-09-14 Yan-Cheng Wang , Meng Cheng , William Witczak-Krempa , Zi Yang Meng

The fractional quantum Hall states have long been predicted to be a testing ground of fractional (anyonic) exchange statistics. These topological states harbor quasiparticles with fractional charges of both abelian and non-abelian…

Mesoscale and Nanoscale Physics · Physics 2023-02-15 Hemanta Kumar Kundu , Sourav Biswas , Nissim Ofek , Vladimir Umansky , Moty Heiblum

In this paper, we report on the study of Abelian and non-Abelian statistics through Fabry-Perot interferometry of fractional quantum Hall (FQH) systems. Our detection of phase slips in quantum interference experiments demonstrates a…

Mesoscale and Nanoscale Physics · Physics 2011-12-16 Sanghun An , P. Jiang , H. Choi , W. Kang , S. H. Simon , L. N. Pfeiffer , K. W. West , K. W. Baldwin

We investigate the interference of Laughlin quasiparticles (QPs) in the fractional quantum Hall regime that are stochastically injected into a Fabry-P\'erot interferometer. We find that the effective Aharonov-Bohm (AB) phase accumulated…

Mesoscale and Nanoscale Physics · Physics 2026-03-06 Sarthak Girdhar , Edvin G. Idrisov , Thomas L. Schmidt

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

Unlike bosons and fermions, quasi-particles in two-dimensional quantum systems, known as anyons, exhibit statistical exchange phases that range between $0$ and $\pi$. In fractional quantum Hall states, these anyons, possessing a fraction of…

Mesoscale and Nanoscale Physics · Physics 2024-04-30 Matthias Thamm , Bernd Rosenow