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Flux State in von Neumann lattice and Fractional Hall Effect
Kenzo Ishikawa, Nobuki Maeda
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…
Is Hall Conductance in Hall Bar Geometry a Topological Invariant?
K. Ishikawa, N. Maeda, K. Tadaki
A deep connection between the Hall conductance in realistic situation and a topological invariant is pointed out based on von-Neumann lattice representation in which Landau level e…
Magnetic von-Neumann lattice for two-dimensional electrons in the magnetic field
K. Ishikawa, N. Maeda, K. Tadaki
One-particle eigenstates and eigenvalues of two-dimensional electrons in the strong magnetic field with short range impurity and impurities, cosine potential, boundary potential, a…
A Mean Field Theory for the Quantum Hall Liquid. II --- The Vortex Solution
Kenzo Ishikawa, Nobuki Maeda
In the Fractional Quantum Hall state, we introduce a bi-local mean field and get vortex mean field solutions. Rotational invariance is imposed and the solution is constructed by me…