Magnetic translation symmetry on the lattice
High Energy Physics - Lattice
2009-11-19 v1 High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.0812.1426,
title = {Magnetic translation symmetry on the lattice},
author = {Ken-ichi Sekiguchi and Tomohiro Okamoto and Takanori Fujiwara},
journal= {arXiv preprint arXiv:0812.1426},
year = {2009}
}
Comments
15 pages, 1 figure