369 citations · 1.8k across the 51 of their papers we have counts for
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Collective States of Interacting Anyons, Edge States, and the Nucleation of Topological Liquids
Charlotte Gils, Eddy Ardonne, Simon Trebst +3
Quantum mechanical systems, whose degrees of freedom are so-called su(2)_k anyons, form a bridge between ordinary SU(2) spin systems and systems of interacting non-Abelian anyons.…
Domain walls, fusion rules and conformal field theory in the quantum Hall regime
Eddy Ardonne
We provide a simple way to obtain the fusion rules associated with elementary quasi-holes over quantum Hall wave functions, in terms of domain walls. The knowledge of the fusion ru…
Degeneracy of non-abelian quantum Hall states on the torus: domain walls and conformal field theory
Eddy Ardonne, Emil J. Bergholtz, Janik Kailasvuori +1
We analyze the non-abelian Read-Rezayi quantum Hall states on the torus, where it is natural to employ a mapping of the many-body problem onto a one-dimensional lattice model. On t…
Collective states of interacting Fibonacci anyons
Simon Trebst, Eddy Ardonne, Adrian Feiguin +3
We show that chains of interacting Fibonacci anyons can support a wide variety of collective ground states ranging from extended critical, gapless phases to gapped phases with grou…