43 citations · 162 across the 8 of their papers we have counts for
8 papers
Extending the planar theory of anyons to quantum wire networks
Tomasz Maciazek, Mia Conlon, Gert Vercleyen +1
The braiding of the worldlines of particles restricted to move on a network (graph) is governed by the graph braid group, which can be strikingly different from the standard braid…
Modified toric code models with flux attachment from Hopf algebra gauge theory
Mia Conlon, Domenico Pellegrino, J. K. Slingerland
Kitaev's toric code is constructed using a finite gauge group from gauge theory. Such gauge theories can be generalized with the gauge group generalized to any finite-dimensional s…
Topological Blocking in Quantum Quench Dynamics
G. Kells, D. Sen, J. K. Slingerland +1
We study the non-equilibrium dynamics of quenching through a quantum critical point in topological systems, focusing on one of their defining features: ground state degeneracies an…
Kaleidoscope of topological phases with multiple Majorana species
G. Kells, J. Kailasvuori, J. Slingerland +1
Exactly solvable lattice models for spins and non-interacting fermions provide fascinating examples of topological phases, some of them exhibiting the localized Majorana fermions t…
Exact results for the star lattice chiral spin liquid
G. Kells, D. Mehta, J. K. Slingerland +1
We examine the star lattice Kitaev model whose ground state is a a chiral spin liquid. We fermionize the model such that the fermionic vacua are toric code states on an effective K…
Competing Topological Orders in the nu=12/5 Quantum Hall State
Parsa Bonderson, Adrian E. Feiguin, Gunnar Moller +1
We provide numerical evidence that a p_{x}-i p_{y} paired Bonderson--Slingerland (BS) non-Abelian hierarchy state is a strong candidate for the observed nu=12/5 quantum Hall platea…