TY - JOUR
T1 - Hamiltonian theory of the composite-fermion Wigner crystal
AU - Narevich, R.
AU - Murthy, Ganpathy
AU - Fertig, H. A.
PY - 2001
Y1 - 2001
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevB.64.245326
DO - 10.1103/PhysRevB.64.245326
M3 - Article
AN - SCOPUS:0042653110
SN - 1098-0121
VL - 64
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 24
ER -