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Higher-order fractional quantum Hall effect

1985; American Physical Society; Volume: 32; Issue: 4 Linguagem: Inglês

10.1103/physrevb.32.2617

1095-3795

W. P. Su,

Semiconductor Quantum Structures and Devices

The Hamiltonian describing interacting two-dimensional electrons in a high magnetic field is diagonalized numerically for a small number of particles to obtain the low-lying excitation spectra. The results include estimates of energy gaps for values of $\ensuremath{\nu}$ (the lowest-Landau-level filling factor) equal to certain multiples of $\frac{1}{5}$, $\frac{1}{7}$, $\frac{1}{9}$, and $\frac{1}{11}$. These $\ensuremath{\nu}'\mathrm{s}$ are characterized by the existence of periodic rigid parent states which generate maximum phase space. The even-denominator cases are markedly different.