472 citations · 2.2k across the 40 of their papers we have counts for
6 papers · 1 filter
Two particles on a chain with disordered interaction: Localization and dissociation of bound states and mapping to chaotic billiards
Hugo Perrin, János K. Asbóth, Jean-Noël Fuchs +1
We consider two particles hopping on a chain with a contact interaction between them. At strong interaction, there is a molecular bound state separated by a direct gap from a conti…
Landau levels in quasicrystals
Jean-Noël Fuchs, Rémy Mosseri, Julien Vidal
Two-dimensional tight-binding models for quasicrystals made of plaquettes with commensurate areas are considered. Their energy spectrum is computed as a function of an applied perp…
Critical eigenstates and their properties in one and two dimensional quasicrystals
Nicolas Macé, Anuradha Jagannathan, Pavel Kalugin +2
We present exact solutions for some eigenstates of hopping models on one and two dimensional quasiperiodic tilings and show that they are "critical" states, by explicitly computing…
Quantum dynamics in high codimension tilings: from quasiperiodicity to disorder
J. Vidal, N. Destainville, R. Mosseri
We analyze the spreading of wavepackets in two-dimensional quasiperiodic and random tilings as a function of their codimension, i.e. of their topological complexity. In the quasipe…
Quasiperiodic tilings under magnetic field
J. Vidal, R. Mosseri
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…
Quantum dynamics in two and three-dimensional quasiperiodic tilings
F. Triozon, J. Vidal, R. Mosseri +1
We investigate the properties of electronic states in two and three-dimensional quasiperiodic structures: the generalized Rauzy tilings. Exact diagonalizations, limited to clusters…