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We experimentally investigate interference effects in transport across a single incompressible strip at the edge of the quantum Hall system by using a Fabry-Perot type interferometer. We find the interference oscillations in transport…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. V. Deviatov , B. Marquardt , A. Lorke , G. Biasiol , L. Sorba

We study non-Abelian fractional quantum Hall state in double layer systems at total filling factor $1/2$. Recent progresses in two-dimensional van der Waals materials made it possible to explore the regime with very small interlayer…

Strongly Correlated Electrons · Physics 2025-02-24 Xiang-Jian Hou , Lei Wang , Ying-Hai Wu

Fractional Chern insulators (FCIs) are zero magnetic field analogs of fractional quantum Hall states. While the electrons forming an FCI are not subject to an external magnetic field, their anyonic excitations experience a magnetic field…

Mesoscale and Nanoscale Physics · Physics 2026-04-29 Kishore Iyer , Andreas Feuerpfeil , Valentin Crépel , Nicolas Regnault , Christophe Mora

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 present and analyze a protocol in which polaritons in a noncoplanar optical cavity form fractional quantum Hall states. We model the formation of these states and present techniques for subsequently creating anyons and measuring their…

Quantum Gases · Physics 2018-03-16 Shovan Dutta , Erich J. Mueller

In two-dimensional space there are possibilities for quantum statistics continuously interpolating between the bosonic and the fermionic one. Quasi-particles obeying such statistics can be described as ordinary bosons and fermions with…

Mathematical Physics · Physics 2021-09-01 Théotime Girardot , Nicolas Rougerie

A key property of topologically ordered systems, such as Quantum Hall states, is the existence of excitations obeying fractional quantum statistics - anyons. We develop a theory for multicomponent counterflow states where an ordinary…

Strongly Correlated Electrons · Physics 2026-03-18 Jun-Xiao Hui , T. H. Hansson , Egor Babaev

Since pioneering works of Hanbury-Brown and Twiss, intensity-intensity correlations have been widely used in astronomical systems, for example to detect binary stars. They reveal statistics effects and two-particle interference, and offer a…

We review different attempts to show the decoherence process in double-slit-like experiments both for charged particles (electrons) and neutral particles with permanent dipole moments. Interference is studied when electrons or atomic…

Quantum Physics · Physics 2009-11-11 Fernando C. Lombardo , Paula I. Villar

The phenomenon of fractional quantum Hall effect (FQHE) was first experimentally observed 33 years ago. FQHE involves strong Coulomb interactions and correlations among the electrons, which leads to quasiparticles with fractional elementary…

Mesoscale and Nanoscale Physics · Physics 2015-01-05 Xi Lin , Rui -Rui Du , Xincheng Xie

We report the observation of an unpredicted behavior of interfering 2D electrons in the integer quantum Hall effect (IQHE) regime via a utilization of an electronic analog of the well-known Mach-Zehnder interferometer (MZI). The beauty of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 I. Neder , M. Heiblum , Y. Levinson , D. Mahalu , V. Umansky

The half-quantized Hall conductance is characteristic of quantum systems with parity anomaly. Here we investigate topological and transport properties of a class of parity anomalous semimetals, in which massive Dirac fermions coexist with…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Jin-Yu Zou , Bo Fu , Huan-Wen Wang , Zi-Ang Hu , Shun-Qing Shen

We investigate theoretically the phase coherence of electron transport in edge states of the integer quantum Hall effect at filling factor $\nu=2$, in the presence of disorder and inter-edge state Coulomb interaction. Within a Fokker-Planck…

Mesoscale and Nanoscale Physics · Physics 2016-07-26 Simon E. Nigg , Anders Mathias Lunde

Anyons are particles intermediate between fermions and bosons, characterized by a nontrivial exchange phase, yielding remarkable braiding statistics. Recent experiments have shown that anyonic braiding has observable consequences on edge…

Mesoscale and Nanoscale Physics · Physics 2024-07-23 K. Iyer , F. Ronetti , B. Grémaud , T. Martin , J. Rech , T. Jonckheere

It has been demonstrated numerically, mainly by considering ground state properties, that fractional quantum Hall physics can appear in lattice systems, but it is very difficult to study the anyons directly. Here, I propose to solve this…

Strongly Correlated Electrons · Physics 2015-01-29 Anne E. B. Nielsen

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 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…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Bertrand I. Halperin , Ady Stern , Izhar Neder , Bernd Rosenow

Edges of quantum Hall phases give rise to a multitude of exotic modes supporting quasiparticles of different values of charge and quantum statistics. Among these are neutralons (chargeless anyons with semion statistics), which were found to…

Mesoscale and Nanoscale Physics · Physics 2022-02-16 Jukka I. Väyrynen , Moshe Goldstein , Yuval Gefen

Anyons are 2D or 1D quantum particles with intermediate statistics, interpolating between bosons and fermions. We study the ground state of a large number N of 2D anyons, in a scaling limit where the statistics parameter is proportional to…

Mathematical Physics · Physics 2015-09-18 Douglas Lundholm , Nicolas Rougerie

We study the quantum dynamics of massive impurities embedded in a strongly interacting two-dimensional atomic gas driven into the fractional quantum Hall (FQH) regime under the effect of a synthetic magnetic field. For suitable values of…

Quantum Gases · Physics 2020-12-23 Alberto Muñoz de las Heras , Elia Macaluso , Iacopo Carusotto
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