194 citations · 425 across the 9 of their papers we have counts for
9 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…
Kitaev model in regular hyperbolic tilings
Julien Vidal, Rémy Mosseri
We study the Kitaev model on regular hyperbolic trivalent tilings. Depending on the length of the elementary polygons, we examine two distinct tri-colorings of the tiling. Usin…
Kitaev model on Hurwitz hyperbolic tilings: A non-Abelian gapped chiral spin liquid
Rémy Mosseri, Yasir Iqbal, Roger Vogeler +1
We study the Kitaev model on the trivalent heptagonal Hurwitz hyperbolic tiling. The presence of odd-length loops in the tiling is responsible for a spontaneous time-reversal symme…
Chiral Gapless Spin Liquid in Hyperbolic Space
Felix Dusel, Tobias Hofmann, Atanu Maity +5
We analyze the Kitaev model on the hyperbolic lattice. The is formed by a regular tricoordinated tiling of nonagons, where the 3-color coding of bonds according…
Density of states of tight-binding models in the hyperbolic plane
R. Mosseri, J. Vidal
We study the energy spectrum of tight-binding Hamiltonian for regular hyperbolic tilings. More specifically, we compute the density of states using the continued-fraction expansion…
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…