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Magnetic von-Neumann lattice for two-dimensional electrons in the magnetic field

K. Ishikawa·N. Maeda·K. Tadaki
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Abstract

One-particle eigenstates and eigenvalues of two-dimensional electrons in the strong magnetic field with short range impurity and impurities, cosine potential, boundary potential, and periodic array of short range potentials are obtained by magnetic von-Neumann lattice in which Landau level wave functions have minimum spatial extensions. We find that there is a dual correspondence between cosine potential and lattice kinetic term and that the representation based on the von-Neumann lattice is quite useful for solving the system's dynamics.

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K. Ishikawa, N. Maeda, K. Tadaki. 1994-08-31. Magnetic von-Neumann lattice for two-dimensional electrons in the magnetic field. https://doi.org/10.1103/physrevb.51.5048

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