Flux State in von Neumann lattice and Fractional Hall Effect

Details Flux State in von Neumann lattice and Fractional Hall Effect Flux State in von Neumann lattice and Fractional Hall Effect

1996-08-30

arxiv.org/abs/cond-mat/9609003v1

Prog. Theor. Phys. Vol. 97 (1997) 507

Physics

Condensed Matter

28 pages, LaTeX, 4 figures

Scientific paper

10.1143/PTP.97.507

Formulation of quantum Hall dynamics using von Neumann lattice of guiding center coordinates is presented. A topological invariant expression of the Hall conductance is given and a new mean field theory of the fractional Hall effect based on flux condensation is proposed. Because our mean field Hamiltonian has the same form as Hofstadter Hamiltonian, it is possible to understand characteristic features of the fractional Hall effect from Hofstadter's spectrum. Energy gap and other physical quantities are computed and are compared with the experiments. A reasonable agreement is obtained.

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