Static and dynamic properties of type-II composite fermion Wigner crystals

Alexander C. Archer, Jainendra K. Jain

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The Wigner crystal of composite fermions is a strongly correlated state of complex emergent particles in two dimensions, and therefore its unambiguous detection would be of significant importance. A recent observation of optical resonances in the vicinity of filling factor ν=1/3 has been interpreted as evidence for a pinned Wigner crystal of composite fermions. We evaluate in a microscopic theory the shear modulus and the magnetophonon and magnetoplasmon dispersions of the composite fermion Wigner crystal in the vicinity of filling factors 1/3, 2/5, and 3/7. We determine the region of stability of the crystal phase, and also relate the frequency of its pinning mode to that of the corresponding electron crystal near integer fillings. These results are in good semiquantitative agreement with experiment, and therefore support the identification of the optical resonance as the pinning mode of the composite fermion Wigner crystal. Our calculations also bring out certain puzzling features, such as a relatively small melting temperature for the composite fermion Wigner crystal, and also suggest a higher asymmetry between Wigner crystals of composite fermion particles and holes than that observed experimentally.

Original languageEnglish (US)
Article number115139
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume84
Issue number11
DOIs
StatePublished - Sep 26 2011

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Fermions
dynamic characteristics
fermions
Crystals
composite materials
Composite materials
crystals
optical resonance
Dispersions
integers
Melting point
Elastic moduli
melting
asymmetry
shear
Electrons

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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Static and dynamic properties of type-II composite fermion Wigner crystals. / Archer, Alexander C.; Jain, Jainendra K.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 84, No. 11, 115139, 26.09.2011.

Research output: Contribution to journalArticle

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AU - Archer, Alexander C.

AU - Jain, Jainendra K.

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