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We investigate the issue of whether quasiparticles in the fractional quantum Hall effect possess a fractional intrinsic spin. The presence of such a spin $S$ is suggested by the spin-statistics relation $S=\theta/2\pi$, with $\theta$ being…

Condensed Matter · Physics 2009-10-22 T. Einarsson , S. L. Sondhi , S. M. Girvin , D. P. Arovas

We define a measurable spin for the edge of a lowest Landau level and incompressible fractional quantum Hall state in the presence of an Abelian or non-Abelian bulk quasiparticle. We show that this quantity takes a fractional value…

Strongly Correlated Electrons · Physics 2025-09-08 Alexander Fagerlund , Alberto Nardin , Leonardo Mazza , Eddy Ardonne

We study the spin of the localised quasiparticle excitations of lowest-Landau-level quantum Hall states defined on a disk. The spin that we propose satisfies the spin-statistics relation and can be used to reconstruct the topological…

Mesoscale and Nanoscale Physics · Physics 2022-02-21 Tommaso Comparin , Alvin Opler , Elia Macaluso , Alberto Biella , Alexios P. Polychronakos , Leonardo Mazza

We derive the low-energy theory of semi-quantized quantum Hall states, a recently observed class of gapless bilayer fractional quantum Hall states. Our theory shows these states to feature gapless quasiparticles of fractional charge coupled…

Mesoscale and Nanoscale Physics · Physics 2020-03-13 Oğuz Türker , Tobias Meng

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

Low lying excitations of electron liquids in the fractional quantum Hall (FQH) regime are studied by resonant inelastic light scattering methods. We present here results from charge and spin excitations of FQH states in the lowest…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 C. F. Hirjibehedin , Irene Dujovne , A. Pinczuk , B. S. Dennis , L. N. Pfeiffer , K. W. West

The single-particle spectral function for an incompressible fractional quantum Hall state in the presence of a scalar short-ranged attractive impurity potential is calculated via exact diagonalization within the spherical geometry. In…

Strongly Correlated Electrons · Physics 2015-06-17 Kelly R. Patton , Michael R. Geller

The low energy physics of the fractional Hall liquid is described in terms quasiparticles that are qualitatively distinct from electrons. We show, however, that a long-lived electron-like quasiparticle also exists in the excitation…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jainendra K. Jain , Michael R. Peterson

One of the central tenets of the theory of the fractional quantum Hall effect is that the bulk quantized Hall response requires the existence of a gapless chiral edge mode. The field theoretical arguments for this rely on locality. While…

Mesoscale and Nanoscale Physics · Physics 2025-08-26 Daniel Spasic-Mlacak , Nigel R. Cooper

We prove a generic spin-statistics relation for the fractional quasiparticles that appear in abelian quantum Hall states on the disk. The proof is based on an efficient way for computing the Berry phase acquired by a generic quasiparticle…

Mesoscale and Nanoscale Physics · Physics 2023-08-01 Alberto Nardin , Eddy Ardonne , Leonardo Mazza

A two-dimensional electron system exposed to a strong magnetic field produces a plethora of strongly interacting fractional quantum Hall (FQH) states, the complex topological orders of which are revealed through exotic emergent particles,…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 Ke Huang , Ajit C. Balram , Hailong Fu , Chengqi Guo , Kenji Watanabe , Takashi Taniguchi , Jainendra K. Jain , Jun Zhu

We investigate the 1/3 fractional quantum Hall state with one and two quasiparticle excitations. It is shown that the quasiparticle excitations are best described as excited composite fermions occupying higher composite-fermion quasi-Landau…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Gun Sang Jeon , Jainendra K. Jain

We consider the effect of contact interaction in a prototypical quantum spin Hall system of pseudo-spin-1/2 particles. A strong effective magnetic field with opposite directions for the two spin states restricts two-dimensional particle…

Quantum Gases · Physics 2014-02-18 O. Fialko , J. Brand , U. Zuelicke

The fractional quantum Hall (FQH) effect at filling factor v = 5/2 has recently come under close scrutiny, as it may possess quasi-particle excitations obeying nonabelian statistics, a property sought for topologically protected quantum…

Mesoscale and Nanoscale Physics · Physics 2012-01-31 Lars Tiemann , Gerardo Gamez , Norio Kumada , Koji Muraki

We propose a class of variational wave functions with slow variation in spin and charge density and simple vortex structure at infinity, which properly generalize both the Laughlin quasiparticles and baby Skyrmions. We argue that the spin…

Condensed Matter · Physics 2009-10-28 Chetan Nayak , Frank Wilczek

By carefully considering a family of wave functions for Skyrmions in simple quantum Hall states, whose members are labelled by a non-negative integer and which properly generalizes the traditional Laughlin quasiparticle, we argue that the…

Condensed Matter · Physics 2007-05-23 Chetan Nayak , Frank Wilczek

The quantum Hall liquid is a novel state of matter with profound emergent properties such as fractional charge and statistics. Existence of the quantum Hall effect requires breaking of the time reversal symmetry caused by an external…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Andrei Bernevig , Shou-Cheng Zhang

We calculate in an analyical fashion the energies and net spins of skyrmions in fractional quantum Hall systems, based on the suggestion that skyrmion states are spontaneously $L_Z$ and $S_Z$ symmetry-breaking states. The quasihole-skyrmion…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Kang-Hun Ahn , K. J. Chang

Motivated by the discovery of extremely low energy collective modes in the fractional quantum Hall effect (Kang, Pinczuk {\em et al.}), with energies below the Zeeman energy, we study theoretically the spin reversed excitations for…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Sudhansu S. Mandal , J. K. Jain

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
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