23 citations · 179 across the 35 of their papers we have counts for
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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…
Integer Quantum Hall Effect with Realistic Boundary Condition : Exact Quantization and Breakdown
K. Ishikawa, N. Maeda, K. Tadaki
A theory of integer quantum Hall effect(QHE) in realistic systems based on von Neumann lattice is presented. We show that the momentum representation is quite useful and that the q…
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…
Charged and Neutral Vortex Excitations in a Mean Field Theory for the Fractional Quantum Hall Effect
Nobuki Maeda
Applying a bi-local mean field approximation to the fractional quantum Hall state of , we obtain charged and neutral vortex mean field solutions numerically. We calculate th…
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…