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To probe the nature of the even-fraction quantum Hall system, we have investigated the low-lying excitation spectrum by means of exact diagonalization for finite systems. We have found (i) a striking one-to-one correspondence (i.e., a shell…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Masaru Onoda , Takahiro Mizusaki , Takaharu Otsuka , Hideo Aoki

The fractional quantum Hall states are non-Fermi liquids of electrons, in that their ground states and low energy excitations are described not in terms of electrons but in terms of composite fermions which are bound states of electrons and…

Strongly Correlated Electrons · Physics 2024-06-24 Mytraya Gattu , G. J. Sreejith , J. K. Jain

We address two fundamental issues in the physics of the quantum Hall effect: a unified description of scaling behavior of conductances in the integral and fractional regimes, and a quasi-particle formulation of the chiral Luttinger Liquids…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 A. M. M. Pruisken , K. Schoutens

A new picture of both integer and fractional incompressible quantum Hall fluids as fluids carrying a electric quadrupole is introduced. This clarifies their geometric properties, provides a generic expression for Hall viscosity, and allows…

Strongly Correlated Electrons · Physics 2023-06-23 F. D. M. Haldane

Resonant inelastic light scattering experiments at $\nu=1/3$ reveal a novel splitting of the long wavelength modes in the low energy spectrum of quasiparticle excitations in the charge degree of freedom. We find a single peak at small…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. F. Hirjibehedin , Irene Dujovne , A. Pinczuk , B. S. Dennis , L. N. Pfeiffer , K. W. West

Fractional quantum Hall quasiparticles are famous for having fractional electric charge. Recent experiments report that the quasiparticles' effective electric charge determined through tunneling current noise measurements can depend on the…

Strongly Correlated Electrons · Physics 2016-02-02 Kyrylo Snizhko

Tunneling of fractionally charged quasiparticles across a two-dimensional electron system on a fractional quantum Hall plateau is expected to be strongly enhanced at low temperatures. This theoretical prediction is at odds with recent…

Superconductivity · Physics 2009-11-10 Emiliano Papa , Allan. H. MacDonald

Strong interaction between electrons in two-dimensional systems in the presence of a high magnetic field gives rise to fractional quantum Hall states that host quasiparticles with fractional charge and fractional exchange statistics. Here,…

The charge of fractionally charged quasiparticles, proposed by Laughlin to explain the fractional quantum Hall effect (FQHE), was recently verified by measurements. Charge q=e/3 and e/5 (e is the electron charge), at filling factors nu=1/3…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Y. C. Chung , M. Heiblum , V. Umansky

Using atomistic pseudopotential wave functions we calculate the electron and hole charging energies of InAs quantum dots. We find that the charging energies depend strongly on the dielectric constant epsilon_out of the surrounding material,…

Materials Science · Physics 2007-05-23 Alberto Franceschetti , Andrew Williamson , Alex Zunger

The fractional quantum Hall effect has been considered as a puzzling quantum many-body phenomenon that has yet to be fully explained. The plateau width and excitation energy gap are particularly problematic. We report here that those two…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Jongbae Hong

We perform an exact-diagonalization study of quasihole excitations for the two-component Halperin $(221)$ state in the lowest Landau level and for several $\nu=1/3$ bosonic fractional Chern insulators in topological flat bands with Chern…

Strongly Correlated Electrons · Physics 2019-01-25 Błażej Jaworowski , Nicolas Regnault , Zhao Liu

Determining plateau widths and energy gaps is the remaining task to fully understand the electron transport that gives the fractional quantum Hall effect at the lowest Landau level (LLL). We report that this determination is given by the…

Strongly Correlated Electrons · Physics 2022-07-26 Jongbae Hong

We construct model wavefunctions for a family of single-quasielectron states supported by the $\nu=1/3$ fractional quantum Hall (FQH) fluid. The charge $e^*$ = $e/3$ quasielectron state is identified as a composite of a charge-$2e^*$…

Strongly Correlated Electrons · Physics 2015-06-17 Bo Yang , F. D. M. Haldane

We study the physics of $\nu=1/2$ bosonic fractional quantum Hall droplets confined in a ring-shaped region delimited by two concentric cylindrically symmetric hard-wall potentials. Trial wave functions based on an extension of the Jack…

Quantum Gases · Physics 2018-07-06 Elia Macaluso , Iacopo Carusotto

Remarkable nonlinearities in the differential tunneling conductance between fractional quantum Hall edge states at a constriction are observed in the weak-backscattering regime. In the $\nu $ = 1/3 state a peak develops as temperature is…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Stefano Roddaro , Vittorio Pellegrini , Fabio Beltram , Giorgio Biasiol , Lucia Sorba , Roberto Raimondi , Giovanni Vignale

We propose a set of schemes to create and probe fractionally charged excitations of a fractional Chern insulator state in an optical lattice. This includes the creation of localized quasiparticles and quasiholes using both static local…

Quantum Gases · Physics 2019-01-03 Mantas Račiūnas , F. Nur Ünal , Egidijus Anisimovas , André Eckardt

Among the predicted properties of fractional quantum Hall states are fractionally charged quasiparticles and conducting edge-states described as chiral Luttinger liquids. In a system with a narrow constriction, tunneling of quasi-particles…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 B. Rosenow , B. I. Halperin

Composite fermions in a partially filled quasi-Landau level may be viewed as quasielectrons of the underlying fractional quantum Hall state, suggesting that a quasielectron is simply a dressed electron, as often is true in other interacting…

Condensed Matter · Physics 2016-08-31 A. S. Goldhaber , J. K. Jain

The double fractional quantum Hall system of spin 1/2 electrons is numerically studied to predict that there exists a novel spin-unpolarized quantum liquid specific to the multi-species system, which exemplifies a link between the spin…

Condensed Matter · Physics 2009-10-22 T. Nakajima , H. Aoki