36 citations · 81 across the 10 of their papers we have counts for
11 papers
Kitaev-Heisenberg model on the square-hexagon-dodecagon lattice
Saeed Barari, Yasir Iqbal, Ganapathy Baskaran +3
We study the spin- Kitaev-Heisenberg model on the square-hexagon-dodecagon lattice with a symmetry-preserving tri-coloring of the Kitaev exchanges. We focus on two cases: (i)…
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…
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…
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…
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…
Aharonov-Bohm cages, flat bands, and gap labeling in hyperbolic tilings
R. Mosseri, R. Vogeler, J. Vidal
Aharonov-Bohm caging is a localization mechanism stemming from the competition between the geometry and the magnetic field. Originally described for a tight-binding model in the di…
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…