Issue |
J. Phys. IV France
Volume 114, April 2004
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Page(s) | 283 - 284 | |
DOI | https://doi.org/10.1051/jp4:2004114059 |
J. Phys. IV France 114 (2004) 283
DOI: 10.1051/jp4:2004114059
Landau levels, electric dipole transitions, and the Hofstadter butterfly in finite systems
J.G. Analytis, S.J. Blundell and A. ArdavanUniversity of Oxford, Department of Physics, Clarendon Laboratory, Parks Road, Oxford OX1 3PU, UK
Abstract
We present the results of numerical calculations of the energy levels
and eigenfunctions of finite sections of a tight-binding square
lattice in the presence of a perpendicular magnetic field. The energy
spectrum of such a system, plotted as a function of magnetic field,
resembles the Hofstadter butterfly found for the infinite system. In
high magnetic fields, each eigenstate carries a persistent current
which has a chirality associated with whether the eigenstate exists in
the bulk or the edge of the system. We present simulations of electric
dipole transitions between the chirally distinguished states for an
isotropic lattice. These transitions correspond to
harmonics in the cyclotron resonance.
© EDP Sciences 2004