Quasi-Bloch electrons of the two-dimensional quasi-periodic system in a tile-dependent magnetic field
- 30 October 1988
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 21 (30) , L1015-L1019
- https://doi.org/10.1088/0022-3719/21/30/003
Abstract
The general solution is obtained for a Schrodinger equation with a tile-dependent magnetic field as well as a quasi-periodic potential in two dimensions (2D). The behaviour of the noninteracting electrons (quasi-Bloch electrons) in this quasi-periodic system may be treated as the projection of the behaviour of the Bloch pseudo-electrons in D dimensions. The physical quasi-periodicity of the 2D quasi-periodic system is not destroyed by the presence of the tile-dependent magnetic field.Keywords
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