23 citations · 179 across the 35 of their papers we have counts for
4 papers · 1 filter
Stability of the compressible quantum Hall state around the half-filled Landau level
Kenzo Ishikawa, Nobuki Maeda, Tetsuyuki Ochiai
We study the compressible states in the quantum Hall system using a mean field theory on the von Neumann lattice. In the lowest Landau level, a kinetic energy is generated dynamica…
Quantum Hall Dynamics on von Neumann Lattice
K. Ishikawa, N. Maeda, T. Ochiai +1
Quantum Hall Dynamics is formulated on von Neumann lattice representation where electrons in Landau levels are defined on lattice sites and are treated systematically like lattice…
Field Theory on the von Neumann Lattice and the Quantized Hall Conductance of Bloch Electrons
K. Ishikawa, N. Maeda, T. Ochiai +1
We construct useful sets of one-particle states in the quantum Hall system based on the von Neumann lattice. Using the set of momentum states, we develop a field-theoretical formal…
Theory of Current-Induced Breakdown of the Quantum Hall Effect
Kenzo Ishikawa, Nobuki Maeda, Tetsuyuki Ochiai +1
By studying the quantum Hall effect of stationary states with high values of injected current using a von Neumann lattice representation, we found that broadening of extended state…