Hamiltonian theory of the composite-fermion Wigner crystal

R. Narevich, Ganpathy Murthy, H. A. Fertig

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44 Scopus citations


Experimental results indicating the existence of the high-magnetic-field Wigner crystal have been available for a number of years. While variational wave functions have demonstrated the instability of the Laughlin liquid to a Wigner crystal at sufficiently small filling, calculations of the excitation gaps have been hampered by the strong correlations. Recently a new Hamiltonian formulation of the fractional quantum-Hall problem has been developed. In this work we extend the Hamiltonian approach to include states of nonuniform density, and use it to compute the transport gaps of the Wigner crystal states. We find that the Wigner crystal states near (formula presented) are quantitatively well described as crystals of composite fermions with four vortices attached. Predictions for gaps and the shear modulus of the crystal are presented, and found to be in reasonable agreement with experiments.

Original languageEnglish
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number24
StatePublished - 2001

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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