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Interacting electrons in a semiconductor quantum dot at strong magnetic fields exhibit a rich set of states, including correlated quantum fluids and crystallites of various symmetries. We develop in this paper a perturbative scheme based on…

介观与纳米尺度物理 · 物理学 2007-05-23 Gun Sang Jeon , Chia-Chen Chang , Jainendra K. Jain

Composite fermions (CFs), exotic particles formed by pairing an even number of flux quanta to each electron, provide a fascinating description of phenomena exhibited by interacting two-dimensional electrons at high magnetic fields. At and…

介观与纳米尺度物理 · 物理学 2019-12-06 D. Kamburov , Yang Liu , M. A. Mueed , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

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…

介观与纳米尺度物理 · 物理学 2007-05-23 B. Kramer , N. Magnoli , E. Mariani , M. Merlo , F. Napoli , M. Sassetti

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…

凝聚态物理 · 物理学 2009-10-28 R. K. Kamilla , J. K. Jain

We demonstrate the formation of composite fermions in two-dimensional quantum dots under high magnetic fields. The composite fermion interpretation provides a simple way to understand several qualitative and quantitative features of the…

凝聚态物理 · 物理学 2009-10-22 J. K. Jain , T. Kawamura

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…

介观与纳米尺度物理 · 物理学 2024-06-24 Junren Shi

We construct a new representation of composite fermion wave functions in the lowest Landau level which enables Monte Carlo computations at arbitrary filling factors for a fairly large number of composite fermions, thus clearing the way…

凝聚态物理 · 物理学 2008-02-03 J. K. Jain , R. K. Kamilla

Two-dimensional interacting electrons exposed to strong perpendicular magnetic fields generate emergent, exotic quasiparticles phenomenologically distinct from electrons. Specifically, electrons bind with an even number of flux quanta, and…

We construct a class of composite fermion states for bilayer electron systems in a strong transverse magnetic field, and determine quantitatively the phase diagram as a function of the layer separation, layer thickness, and electron…

介观与纳米尺度物理 · 物理学 2009-10-31 V. W. Scarola , 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…

介观与纳米尺度物理 · 物理学 2013-06-18 D. Kamburov , Yang Liu , M. Shayegan , L. N. Pfeiffer , K. W. West , K. W. Baldwin

We construct a family of BCS paired composite fermion wavefunctions that generalize, but remain in the same topological phase as, the Moore-Read Pfaffian state for the half-filled Landau level. It is shown that for a wide range of…

介观与纳米尺度物理 · 物理学 2008-02-21 Gunnar Moller , Steven H. Simon

We find that for the pure Coulomb repulsion the composite Fermi sea at $\nu=1/2$ is on the verge of an instability to triplet pairing of composite fermions. It is argued that a transition into the paired state, described by a Pfaffian wave…

介观与纳米尺度物理 · 物理学 2009-10-31 K. Park , V. Melik-Alaverdian , N. E. Bonesteel , J. K. Jain

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…

介观与纳米尺度物理 · 物理学 2009-10-31 John J. Quinn , Arkadiusz Wojs

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…

介观与纳米尺度物理 · 物理学 2007-05-23 Constantine Yannouleas , Uzi Landman

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…

介观与纳米尺度物理 · 物理学 2007-05-23 N. Regnault , C. C. Chang , Th. Jolicoeur , J. K. Jain

We review and extend the composite fermion theory for semiconductor quantum dots in high magnetic fields. The mean-field model of composite fermions is unsatisfactory for the qualitative physics at high angular momenta. Extensive numerical…

介观与纳米尺度物理 · 物理学 2009-11-11 Gun Sang Jeon , Chia-Chen Chang , Jainendra K. Jain

The physics of the state at even denominator fractional fillings of Landau levels depends on the Coulomb pseudopotentials, and produces, in different GaAs Landau levels, a composite fermion Fermi sea, a stripe phase, or, possibly, a paired…

介观与纳米尺度物理 · 物理学 2009-11-13 Csaba Toke , Jainendra K. Jain

We calculate the self-energy of fermions in Landau level n, in a finite field. Two cases are considered, in which fermions couple either to gauge fluctuations (as in the composite fermion gauge theory) or to phonons, as an example of a…

凝聚态物理 · 物理学 2009-10-28 S. Curnoe , P. C. E. Stamp

The mean field composite Fermion (MFCF) picture has been qualitatively successful when applied to electrons (or holes) in the lowest Landau level. Because the energy scales associated with Coulomb interactions and with Chern-Simons gauge…

介观与纳米尺度物理 · 物理学 2009-10-31 Arkadiusz Wojs , John J. Quinn

Originally proposed by Read [1] and Jain [2], the so-called "composite-fermion" is a phenomenological attachment of two infinitely thin local flux quanta seen as nonlocal vortices to two-dimensional (2D) electrons embedded in a strong…

介观与纳米尺度物理 · 物理学 2014-04-24 Gilbert Reinisch , Vidar Gudmundsson , Andrei Manolescu
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