5 papers
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…
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…