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

Source: [Magnetic von-Neumann lattice for two-dimensional electrons in the magnetic field](<https://www.sota2.com/research/paper/68fa24122c2a37601939ee8f>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T07:55:39.697Z

Authors: K.Ishikawa, N.Maeda, K.Tadaki

Published: 1994-08-31T10:32:23.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9408098>)

[PDF](<https://arxiv.org/pdf/cond-mat/9408098.pdf>)