Magnetic translation symmetry on the lattice

Details Magnetic translation symmetry on the lattice Magnetic translation symmetry on the lattice

2008-12-08

arxiv.org/abs/0812.1426v1

Prog.Theor.Phys.122:293-307,2009

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages, 1 figure

Scientific paper

10.1143/PTP.122.293

Magnetic translation symmetry on a finite periodic square lattice is
investigated for an arbitrary uniform magnetic field in arbitrary dimensions.
It can be used to classify eigenvectors of the Hamiltonian. The system can be
converted to another system of half or lower dimensions. A higher dimensional
generalization of Harper equation is obtained for tight-binding systems.

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