Composite-fermion antiparticle description of the hole excitation in a maximum-density droplet with a small number of electrons

Gun Sang Jeon, A. D. Güçlü, C. J. Umrigar, Jainendra K. Jain

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The maximum-density droplet of quantum dots in a high magnetic field, which is a finite-size realization of the state at filling factor 1, becomes unstable to the creation of a central hole (provided it contains a small number of electrons) as the magnetic field is increased or the strength of the confinement potential reduced. The simplest model for the hole is as a vortex at the center, which, however, is renormalized by edge excitations. We show that an accurate description of the actual hole state is achieved in terms of a "composite-fermion antiparticle," which is surprising in view of the fact that composite fermions are thought to be relevant only in the fractional Hall regime. We extend these considerations to multiple holes in the maximum-density droplet, and also to the quasihole at ν=1 3. The effect of Landau-level mixing is also considered through a diffusion Monte Carlo calculation.

Original languageEnglish (US)
Article number245312
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume72
Issue number24
DOIs
StatePublished - Dec 15 2005

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antiparticles
Fermions
fermions
Magnetic fields
composite materials
Electrons
Composite materials
Semiconductor quantum dots
excitation
Vortex flow
electrons
magnetic fields
quantum dots
vortices

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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abstract = "The maximum-density droplet of quantum dots in a high magnetic field, which is a finite-size realization of the state at filling factor 1, becomes unstable to the creation of a central hole (provided it contains a small number of electrons) as the magnetic field is increased or the strength of the confinement potential reduced. The simplest model for the hole is as a vortex at the center, which, however, is renormalized by edge excitations. We show that an accurate description of the actual hole state is achieved in terms of a {"}composite-fermion antiparticle,{"} which is surprising in view of the fact that composite fermions are thought to be relevant only in the fractional Hall regime. We extend these considerations to multiple holes in the maximum-density droplet, and also to the quasihole at ν=1 3. The effect of Landau-level mixing is also considered through a diffusion Monte Carlo calculation.",
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Composite-fermion antiparticle description of the hole excitation in a maximum-density droplet with a small number of electrons. / Jeon, Gun Sang; Güçlü, A. D.; Umrigar, C. J.; Jain, Jainendra K.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 72, No. 24, 245312, 15.12.2005.

Research output: Contribution to journalArticle

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T1 - Composite-fermion antiparticle description of the hole excitation in a maximum-density droplet with a small number of electrons

AU - Jeon, Gun Sang

AU - Güçlü, A. D.

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AU - Jain, Jainendra K.

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