Magnetic states induced by electron-electron interactions in a plane quasiperiodic tiling

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.

16 pages, REVTEX (including 7 eps figures)

References in corpus (2)

• Generalized Hartree-Fock Theory and the Hubbard Model
• Density of states and magnetic susceptibilities on the octagonal tiling

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