Hofstadter butterfly of a quasicrystal - Sorbonne Université
Article Dans Une Revue Physical Review B: Condensed Matter and Materials Physics (1998-2015) Année : 2016

Hofstadter butterfly of a quasicrystal

Résumé

The energy spectrum of a tight-binding Hamiltonian is studied for the two-dimensional quasiperiodic Rauzy tiling in a perpendicular magnetic field. This spectrum known as a Hofstadter butterfly displays a very rich pattern of bulk gaps that are labeled by four integers, instead of two for periodic systems. The role of phason-flip disorder is also investigated in order to extract genuinely quasiperiodic properties. This geometric disorder is found to only preserve main quantum Hall gaps.

Dates et versions

hal-01427931 , version 1 (06-01-2017)

Identifiants

Citer

Jean-Noël Fuchs, Julien Vidal. Hofstadter butterfly of a quasicrystal. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2016, 94 (20), pp.205437. ⟨10.1103/PhysRevB.94.205437⟩. ⟨hal-01427931⟩
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