Identification of spatially confined states in two-dimensional quasiperiodic lattices
- 1 June 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 51 (22), 15827-15832
- https://doi.org/10.1103/physrevb.51.15827
Abstract
We study the electronic eigenstates on several two-dimensional quasiperiodic lattices, such as the Penrose lattice and random-tiling lattices, using a tight-binding Hamiltonian in the vertex model. The infinitely degenerate states at E=0 are especially investigated. We present a systematic procedure which allows us to identify numerically the spatially strongly localized so-called confined states.Keywords
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