Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2005-02-24
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
19 pages and 6 eps figures
Scientific paper
10.1103/PhysRevB.72.115344
In higher Landau levels ($N>1$), the ground state of the two-dimensional electron gas in a strong perpendicular magnetic field evolves from a Wigner crystal for small filling $\nu $ of the partially filled Landau level, into a succession of bubble states with increasing number of guiding centers per bubble as $\nu $ increases, to a modulated stripe state near $\nu =0.5$. In this work, we compute the frequency-dependent longitudinal conductivity $% \sigma_{xx}(\omega) $ of the Wigner and bubble crystal states in the presence of disorder. We apply an elastic theory to the crystal states which is characterized by a shear and a bulk modulus. We obtain both moduli from the microscopic time-dependent Hartree-Fock approximation. We then use the replica and Gaussian variational methods to handle the effects of disorder. Within the semiclassical approximation we get the dynamical conductivity as well as the pinning frequency as functions of the Landau level filling factor and compare our results with recent microwave experiments.
Cote Raphael
Faribault Alexandre
Fertig Herbert A.
Li Mei-Rong
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