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

A. Jagannathan·H. J. Schulz
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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.

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A. Jagannathan, H. J. Schulz. 1996-09-09. Magnetic states induced by electron-electron interactions in a plane quasiperiodic tiling. https://doi.org/10.1103/physrevb.55.8045

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