472 citations · 4.6k across the 45 of their papers we have counts for
45 papers
Partition function of the Levin-Wen model
J. Vidal
Using a description of the Levin-Wen model excitations in terms of Wilson lines, we compute the degeneracy of the energy levels for any input anyon theory and for any trivalent gra…
Wegner-Wilson loops in string nets
A. Ritz-Zwilling, J. -N. Fuchs, J. Vidal
We study the Wegner-Wilson loops in the string-net model of Levin and Wen in the presence of a string tension. The latter is responsible for a phase transition from a topological d…
Parity of Chern numbers in the Kitaev honeycomb model and the sixteenfold way
J. -N. Fuchs, S. Patil, J. Vidal
In two dimensions, topological phases of free Majorana fermions coupled to a gauge field are known to be classified according to the Chern number .…
Tensor-network approach to phase transitions in string-net models
Alexis Schotte, Jose Carrasco, Bram Vanhecke +4
We use a recently proposed class of tensor-network states to study phase transitions in string-net models. These states encode the genuine features of the string-net condensate suc…
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…
Bridging Perturbative Expansions with Tensor Networks
Laurens Vanderstraeten, Michaël Mariën, Jutho Haegeman +3
We demonstrate that perturbative expansions for quantum many-body systems can be rephrased in terms of tensor networks, thereby providing a natural framework for interpolating pert…