2002/09/02 by J. Vidal, Julien Vidal, Rémy Mosseri +1
Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Exponent #Lattice (music) #Magnetic field #Magnetic flux #Magnetic properties of thin films #Mathematics #Physics #Quantum mechanics #Quasicrystal #Quasicrystal Structures and Properties #Quasiperiodic function #Square lattice #Theoretical and Computational Physics #Wannier function #cond-mat.dis-nn
paper · pdf · doi:10.1016/j.jnoncrysol.2003.11.027
published as J. Non-Cryst. Solids 334, 130 (2004) · 6 pages, 5 EPS figures
arxiv created 2002/09/02 · openalex publication_date 2004/01/22 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.