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The flux quanta attachment to the electrons creates composite fermions (CFs). The mass, the size and the density of the CF are inconsistent with real material. The sequence of fractional charges which suggest formation of CF agrees with the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava

We establish the quantum mechanics of composite fermions based on the dipole picture initially proposed by Read. It comprises three complimentary components: a wave equation for determining the wave functions of a composite fermion in ideal…

Mesoscale and Nanoscale Physics · Physics 2024-06-24 Junren Shi

Ultracold neutral bosons in a rapidly rotating atomic trap have been predicted to exhibit fractional quantum Hall-like states. We describe how the composite fermion theory, used in the description of the fractional quantum Hall effect for…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. Regnault , C. C. Chang , Th. Jolicoeur , J. K. Jain

The composite fermion formalism elegantly describes some of the most fascinating behaviours of interacting two-dimensional carriers at low temperatures and in strong perpendicular magnetic fields. In this framework, carriers minimize their…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 D. Kamburov , Yang Liu , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

A new class of analytic and parameter-free, strongly correlated wave functions of simple functional form is derived for few electrons in two-dimensional quantum dots under high magnetic fields. These wave functions are constructed through…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Constantine Yannouleas , Uzi Landman

The model of Composite Fermions for describing interacting electrons in two dimensions in the presence of a magnetic field is described. In this model, charged Fermions are combined with an even number of magnetic flux quanta in such a way…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Kramer , N. Magnoli , E. Mariani , M. Merlo , F. Napoli , M. Sassetti

Almost all quantum Hall effect to date can be understood as {\em integral} quantum Hall effect of appropriate particles, namely electrons or composite fermions. This paper investigates theoretically the feasibility of nested states of…

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

We propose a (4+1) dimensional Chern-Simons field theoretical description of the fractional quantum Hall effect. It suggests that composite fermions reside on a momentum manifold with a nonzero Chern number. Based on derivations from…

Strongly Correlated Electrons · Physics 2017-05-23 Junren Shi

Low lying states of a 2D electron-hole system contain electrons and one or more types of charged excitonic complexes. Binding energies and angular momenta of these excitonic ions, and the pseudopotentials describing their interactions with…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Arkadiusz Wojs , Izabela Szlufarska , Kyung-Soo Yi , Pawel Hawrylak , John J. Quinn

The composite Fermion (CF) picture offers a simple intuitive way of understanding many of the surprising properties of a strongly interacting two-dimensional electron fluid in a large magnetic field. The simple way in which the mean field…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 John J. Quinn , Arkadiusz Wojs

We propose a two-fluid description of fractional quantum Hall systems, in which one component is a condensate of composite bosons and the other a Fermi liquid formed by composite fermions (or simply electrons). We employ the theory to model…

Strongly Correlated Electrons · Physics 2023-11-13 Zhaoyu Han , Kyung-Su Kim , Steven A. Kivelson , Thors Hans Hansson

The correlations in the ground state of interacting electrons in a two-dimensional quantum dot in a high magnetic field are known to undergo a qualitative change from liquid-like to crystal-like as the total angular momentum becomes large.…

Mesoscale and Nanoscale Physics · Physics 2018-09-25 Gun Sang Jeon , Chia-Chen Chang , Jainendra K. Jain

Effect of interlayer tunneling in the double-layer fractional quantum Hall system at the total Landau level filling of $\nu=1/m$ ($m$: odd integer) is analyzed with the composite-fermion approach in which the flux attachment is directly…

Condensed Matter · Physics 2009-10-28 T. Nakajima , H. Aoki

We study the applicability of composite fermion theory to electrons in two-dimensional parabolically-confined quantum dots in a strong perpendicular magnetic field in the limit of low Zeeman energy. The non-interacting composite fermion…

Condensed Matter · Physics 2009-10-28 R. K. Kamilla , J. K. Jain

Composite fermion wavefuctions have been used to describe electrons in a strong magnetic field. We show that the polynomial part of these wavefunctions can be obtained by applying a normal ordered product of suitably defined annihilation…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 V. Ruuska , M. Manninen

A recently developed model of interacting composite fermions, is used to investigate different composite-fermion phases. Their interaction potential allows for the formation of both solid and new quantum-liquid phases, which are interpreted…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. O. Goerbig , P. Lederer , C. Morais Smith

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

The High Landau level filling fractions 5/2, 7/3 and 8/3 are interpreted by using the angular momentum model. It is found that for the odd number of flux quanta, the quasiparticles called the ``composite fermions'' are fermions but for even…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava

The composite-fermion approach as formulated in the fermion Chern-Simons theory has been very successful in describing the physics of the lowest Landau level near Landau level filling factor 1/2. Recent work has emphasized the fact that the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Felix von Oppen , Bertrand I. Halperin , Steven H. Simon , Ady Stern

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
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