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

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

1994-08-31

arxiv.org/abs/cond-mat/9408098v1

Phys. Rev. B51 (1995) 5048

Physics

Condensed Matter

21pages, figures not included, EPHOU-94-002

Scientific paper

10.1103/PhysRevB.51.5048

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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