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The rapid development of artificial gauge fields in ultracold gases suggests that atomic realization of fractional quantum Hall physics will become experimentally practical in the near future. While it is known that bosons on lattices can…

Strongly Correlated Electrons · Physics 2014-09-11 Jonas A. Kjäll , Joel E. Moore

Using a periodic train of Lorentzian voltage pulses, which generates soliton-like electronic excitations called Levitons, we investigate the charge density backscattered off a quantum point contact in the fractional quantum Hall regime. We…

Mesoscale and Nanoscale Physics · Physics 2018-09-05 Flavio Ronetti , Luca Vannucci , Dario Ferraro , Thibaut Jonckheere , Jérôme Rech , Thierry Martin , Maura Sassetti

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

We investigate the localization transition in fractionally charged electron wave packets, which is injected into a quantum conductor by a single voltage pulse with arbitrary flux quantum. We show that the transition is unidirectional for…

Mesoscale and Nanoscale Physics · Physics 2025-09-17 Y. Yin

Optically generated electron-hole pairs can probe strongly correlated electronic matter, or, by forming exciton-polaritons within an optical cavity, give rise to photonic nonlinearities. The present paper theoretically studies the…

Strongly Correlated Electrons · Physics 2020-04-29 Tobias Graß , Ovidiu Cotlet , Atac İmamoğlu , Mohammad Hafezi

Charge excitations in a two dimensional electron gas, under a quantizing magnetic field and in the fractional quantum Hall effect regime, flow in one dimensional-like strips along the edges of the sample. These excitations (quasiparticles)…

Mesoscale and Nanoscale Physics · Physics 2009-12-25 Moty Heiblum

Fractionalization is a phenomenon in which strong interactions in a quantum system drive the emergence of excitations with quantum numbers that are absent in the building blocks. Outstanding examples are excitations with charge e/3 in the…

The eigenstates of interacting electrons in the fractional quantum Hall phase typically form fairly well defined bands in the energy space. We show that the composite fermion theory gives insight into the origin of these bands and provides…

Condensed Matter · Physics 2009-10-22 G. Dev , J. K. Jain

We consider a two-dimensional electron system in the Laughlin sequence of the fractional quantum Hall regime to investigate the effect of strong correlations on the mutual interaction between two Levitons, single-electron excitations…

We have realized a quantum optics like Hanbury Brown and Twiss (HBT) experiment by partitioning, on an electronic beam-splitter, single elementary electronic excitations produced one by one by an on-demand emitter. We show that the…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 E. Bocquillon , F. D. Parmentier , C. Grenier , J. -M. Berroir , P. Degiovanni , D. C. Glattli , B. Plaçais , A. Cavanna , Y. Jin , G. Fève

We propose a quantum tomography protocol to measure single electron coherence in quantum Hall edge channels and therefore access for the first time the wave function of single electron excitations propagating in ballistic quantum…

A quantum statistical theory is developed for a fractional quantum Hall effects in terms of composite bosons (fermions) each of which contains a conduction electron and an odd (even) number of fluxons. The cause of the QHE is by assumption…

Mesoscale and Nanoscale Physics · Physics 2013-04-30 Shigeji Fujita , Akira Suzuki , H. C. Ho

In recent interference experiments with an electronic Fabry-Perot interferometer (FPI), implemented in the integer quantum Hall effect regime, a flux periodicity of $h/2e$ was observed at bulk fillings $\nu_B>2.5$. The halved periodicity…

Mesoscale and Nanoscale Physics · Physics 2018-03-09 I. Sivan , R. Bhattacharyya , H. K. Choi , M. Heiblum , D. E. Feldman , D. Mahalu , V. Umansky

We study a coherent conductor supporting a single edge channel in which alternating current pulses are created by local time-dependent gating and sent on a beam-splitter realized by a quantum point contact. The current response to the gate…

Mesoscale and Nanoscale Physics · Physics 2018-02-26 Maciej Misiorny , Gwendal Fève , Janine Splettstoesser

Fractionalization without time-reversal symmetry breaking is a long-sought-after goal in the study of correlated phenomena. The earlier proposal of correlated insulating states at $n \pm 1/3$ filling in twisted bilayer graphene and recent…

Strongly Correlated Electrons · Physics 2023-07-27 Dan Mao , Kevin Zhang , Eun-Ah Kim

The fractional quantum Hall effect (FQHE) is theoretically investigated, with numerical and algebraic approaches, in assemblies of a few spinful ultracold neutral fermionic atoms, interacting via repulsive contact potentials and confined in…

Quantum Gases · Physics 2020-10-20 Constantine Yannouleas , Uzi Landman

We consider the dephasing rate of an electron level in a quantum dot, placed next to a fluctuating edge current in the fractional quantum Hall effect. Using perturbation theory, we show that this rate has an anomalous dependence on the bias…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Thi Kim Thanh Nguyen , Adeline Crepieux , Thibaut Jonckheere , Ai Viet Nguyen , Yeoshua Levinson , Thierry Martin

We study the quantum self-organization of interacting particles in one-dimensional(1D) many-body systems, modeled via Hubbard chains with short-range interactions between the particles. We show the emergence of 1D states with density-wave…

Strongly Correlated Electrons · Physics 2021-04-06 Ioannis Kleftogiannis , Ilias Amanatidis

We develop a simple kinetic equation description of edge state dynamics in the fractional quantum Hall effect (FQHE), which allows us to examine in detail equilibration processes between multiple edge modes. As in the integer quantum Hall…

Condensed Matter · Physics 2009-10-28 C. L. Kane , Matthew P. A. Fisher

Quantum Hall edge channels can be combined with metallic regions to fractionalize electrons and form correlated impurity models. We study a minimal device, that has been experimentally achieved quite recently, with two floating islands…

Mesoscale and Nanoscale Physics · Physics 2022-07-13 Deepak B. Karki , Edouard Boulat , Christophe Mora