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- W4386461744 abstract "The single electron spectrum and wave functions in quasicrystals continue to be a fascinating problem, with few known exact solutions. We investigate the energy spectra and gap structures for a quasiperiodic tiling in two dimensions. Varying a continuous parameter, we follow the evolution of the band structure from discrete molecular or atomic states, to the multifractal states well known from previous studies. We propose a gap labeling scheme for finite approximants that is different from, but converges to, one introduced by Kellendonk and Putnam [Directions in Mathematical Quasicrystals, edited by M. Baake and R. Moody, CRM Monograph Series] for infinite tilings." @default.
- W4386461744 created "2023-09-06" @default.
- W4386461744 creator A5002729725 @default.
- W4386461744 date "2023-09-05" @default.
- W4386461744 modified "2023-09-27" @default.
- W4386461744 title "Closing of gaps, gap labeling, and passage from molecular states to critical states in a two-dimensional quasicrystal" @default.
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- W4386461744 doi "https://doi.org/10.1103/physrevb.108.115109" @default.
- W4386461744 hasPublicationYear "2023" @default.
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