Quasiperiodic tilings under magnetic field
arXiv:cond-mat/0209037 · doi:10.1016/j.jnoncrysol.2003.11.027
Abstract
We study the electronic properties of a two-dimensional quasiperiodic tiling, the isometric generalized Rauzy tiling, embedded in a magnetic field. Its energy spectrum is computed in a tight-binding approach by means of the recursion method. Then, we study the quantum dynamics of wave packets and discuss the influence of the magnetic field on the diffusion and spectral exponents. Finally, we consider a quasiperiodic superconducting wire network with the same geometry and we determine the critical temperature as a function of the magnetic field.
6 pages, 5 EPS figures
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- Topological Hofstadter Insulators in a Two-Dimensional Quasicrystal
- Hofstadter butterfly of a quasicrystal
- Realization of quasicrystalline quadrupole topological insulators in electrical circuits
- Landau levels in quasicrystals
- Physical properties of an Aperiodic monotile: Graphene-like features, chirality and zero-modes
- Bulk Localised Transport States in Infinite and Finite Quasicrystals via Magnetic Aperiodicity
- Finding spectral gaps in quasicrystals
- Multifractal Properties of Tribonacci Chains