Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
1999-10-18
J. Phys. condens. Matter 11, 7283 (1999)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
32 pages, 13 figures
Scientific paper
10.1088/0953-8984/11/38/308
The activation gaps for fractional quantum Hall states at filling fractions $\nu=n/(2n+1)$ are computed for heterojunction, square quantum well, as well as parabolic quantum well geometries, using an interaction potential calculated from a self-consistent electronic structure calculation in the local density approximation. The finite thickness is estimated to make $\sim$30% correction to the gap in the heterojunction geometry for typical parameters, which accounts for roughly half of the discrepancy between the experiment and theoretical gaps computed for a pure two dimensional system. Certain model interactions are also considered. It is found that the activation energies behave qualitatively differently depending on whether the interaction is of longer or shorter range than the Coulomb interaction; there are indications that fractional Hall states close to the Fermi sea are destabilized for the latter.
Jain Jainendra K.
Meskini N.
Park Kyungwha
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