Magnetic states induced by electron-electron interactions in a plane quasiperiodic tiling
Condensed Matter
2009-10-28 v1
Abstract
We consider the Hubbard model for electrons in a two-dimensional quasiperiodic tiling using the Hartree--Fock approximation. Numerical solutions are obtained for the first three square approximants of the perfect octagonal tiling. At half-filling, the magnetic state is antiferromagnetic. We calculate the distributions of local magnetizations and their dependence on the local environments as U (Hubbard repulsion strength) is varied. The inflation symmetry of quasicrystals results in a corresponding inflation symmetry of the magnetic configurations when passing from one tiling to the next in the progression towards the infinite quasicrystal.
Keywords
Cite
@article{arxiv.cond-mat/9609082,
title = {Magnetic states induced by electron-electron interactions in a plane quasiperiodic tiling},
author = {A. Jagannathan and H. J. Schulz},
journal= {arXiv preprint arXiv:cond-mat/9609082},
year = {2009}
}
Comments
16 pages, REVTEX (including 7 eps figures)