6 papers
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…
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…
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…
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…
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…