133 citations · 243 across the 13 of their papers we have counts for
13 papers
Inversion-symmetric topological insulators in cut-and-project binary chains
Zhipeng Zeng, Yuge Chen, Jean-Noël Fuchs +2
We investigate the electronic properties of binary tight-binding chains generated by the cut-and-project method for rational slopes , leading to periodic and inversion symme…
Coupled Majorana modes in a dual vortex of the Kitaev honeycomb model
Surajit Basak, Jean-Noël Fuchs
The Kitaev model is exactly solvable in terms of Majorana fermions hopping on a honeycomb lattice and coupled to a static gauge field, giving the possibility of -…
Partition function of the Kitaev quantum double model
Anna Ritz-Zwilling, Benoît Douçot, Steven H. Simon +2
We compute the degeneracy of energy levels in the Kitaev quantum double model for any discrete group on any planar graph forming the skeleton of a closed orientable surface of…
Extended string-net models with all anyons at finite temperature
André O. Soares, Anna Ritz-Zwilling, Jean-Noël Fuchs
The string-net model describes a vast family of topological orders in two spatial dimensions. Here, we consider the effect of thermal fluctuations on these topological phases. In t…
Finite-temperature properties of string-net models
Anna Ritz-Zwilling, Jean-Noël Fuchs, Steven H. Simon +1
We consider a refined version of the string-net model which assigns a different energy cost to each plaquette excitation. Using recent exact calculations of the energy-level degene…
Effective models for dense vortex lattices in the Kitaev honeycomb model
David J. Alspaugh, Jean-Noël Fuchs, Anna Ritz-Zwilling +1
We introduce low-energy effective models for dense configurations of vortices in the Kitaev honeycomb model. Specifically, we consider configurations of vortices in which vortex-fr…
Topological and nontopological degeneracies in generalized string-net models
Anna Ritz-Zwilling, Jean-Noël Fuchs, Steven H. Simon +1
Generalized string-net models have been recently proposed in order to enlarge the set of possible topological quantum phases emerging from the original string-net construction. In…
Robustness of Aharonov-Bohm cages in quantum walks
Hugo Perrin, Jean-Noël Fuchs, Rémy Mosseri
It was recently shown that Aharonov-Bohm (AB) cages exist for quantum walks (QW) on certain tilings -- such as the diamond chain or the dice (or ) lattice -- for a p…
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 level broadening, hyperuniformity, and discrete scale invariance
J. -N. Fuchs, R. Mosseri, J. Vidal
We study the energy spectrum of a two-dimensional electron in the presence of both a perpendicular magnetic field and a potential. In the limit where the potential is small compare…
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…
Hofstadter butterfly of a quasicrystal
J. -N Fuchs, J. Vidal
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 Hofstad…
Geometrical engineering of a two-bands Chern insulator in two dimensions with arbitrary topological index
Doru Sticlet, Frederic Piéchon, Jean-Noël Fuchs +2
Two-dimensional 2-bands insulators breaking time reversal symmetry can present topological phases indexed by a topological invariant called the Chern number. Here we first propose…