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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

The charge of quasiparticles in a fractional quantum Hall (FQH) liquid, tunneling through a partly reflecting constriction with transmission t, was determined via shot noise measurements. In the nu=1/3 FQH state, a charge smoothly evolving…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. G. Griffiths , E. Comforti , M. Heiblum , Ady Stern , V. Umansky

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

Even though composite fermions in the fractional quantum Hall liquid are well established, it is not yet known up to what energies they remain intact. We probe the high-energy spectrum of the 1/3 liquid directly by resonant inelastic light…

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

A Quantum Antidot electrometer has been used in the first direct observation of the fractionally quantized electric charge. In this paper we report experiments performed on the integer i = 1, 2 and fractional f = 1/3 quantum Hall plateaus…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. J. Goldman , I. Karakurt , Jun Liu , A. Zaslavsky

We present Monte Carlo studies of charge expectation values and charge fluctuations for quasi-particles in the quantum Hall system. We have studied the Laughlin wave functions for quasi-hole and quasi-electron, and also Jain's definition of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. Kjønsberg , J. M. Leinaas

We develop a microscopic formalism to study the fractional quantum Hall plateaus at filling factors $\nu $ away from $1/2\beta$ $\beta$ an integer. The theory is in terms of quasiparticles which carry a charge $e^{\ast}$ equal to…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. Pasquier

The two-dimensional electron system in an InAs quantum well has emerged as a prime candidate for hosting exotic quasi-particles with non-Abelian statistics such as Majorana fermions and parafermions. To attain its full promise, however, the…

The quasiparticles in Quantum Hall liquids carry fractional charge and obey fractional quantum statistics. Of particular recent interest are those with non-Abelian statistics, since their braiding properties could in principle be used for…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 T. H. Hansson , M. Hermanns , N. Regnault , S. Viefers

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

Numerical results for the energy spectra of $N$ electrons on a spherical surface are used as input data to determine the quasiparticle energies and the pairwise ``Fermi liquid'' interactions of composite Fermion (CF) excitations in…

Condensed Matter · Physics 2009-10-28 P. Sitko , S. N. Yi , K. S. Yi , J. J. Quinn

Quasielectrons and quasiholes in the fractional quantum Hall liquids obey fractional (including nontrivial mutual) exclusion statistics. Their statistics matrix can be determined from several possible state-counting scheme, involving…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Y. S. Wu , Y. Yu , Y. Hatsugai , M. Kohmoto

We propose a theoretical scenario for pumping of fractionally charged quasi-particle in the context of $\nu=1/3$ fractional quantum Hall liquid. We consider quasi-particle pumping across an anti-dot level tuned close to the resonance.…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Sourin Das , Vadim Shpitalnik

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

We consider a system of a incompressible quantum Hall liquid in close proximity to a parabolic quantum dot containing a few electrons. We observe a significant influence of the interacting electrons in the dot on the excitation spectrum of…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 V. M. Apalkov , Tapash Chakraborty

A device is proposed that is similar in spirit to the electron turnstile except that it operates within a quantum Hall fluid. In the integer quantum Hall regime, this device pumps an integer number of electrons per cycle. In the fractional…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Steven H. Simon

In this work, two quasiparticle excitation energies per particle are calculated analytically for systems with up to $N = 7$ electrons in both Laughlin and composite fermions (CF) theories by considering the full jellium potential which…

Strongly Correlated Electrons · Physics 2019-06-28 Z. Bentalha

The scattering of exotic quasiparticles may follow different rules than electrons. In the fractional quantum Hall regime, a quantum point contact (QPC) provides a source of quasiparticles with field effect selectable charges and statistics,…

Mesoscale and Nanoscale Physics · Physics 2024-07-26 P. Glidic , O. Maillet , C. Piquard , A. Aassime , A. Cavanna , Y. Jin , U. Gennser , A. Anthore , F. Pierre
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