23 citations · 147 across the 17 of their papers we have counts for
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Exact solution of the non-Abelian anyon chain
Natalia Braylovskaya, Peter E. Finch, Holger Frahm
Commuting transfer matrices for linear chains of interacting non-Abelian anyons from the two-dimensional irreducible representation of the dihedral group (or, equivalently, t…
Integrable anyon chains: from fusion rules to face models to effective field theories
Peter E. Finch, Michael Flohr, Holger Frahm
Starting from the fusion rules for the algebra we construct one-dimensional lattice models of interacting anyons with commuting transfer matrices of `interactions round t…
Quantum phases of a chain of strongly interacting anyons
Peter E. Finch, Holger Frahm, Marius Lewerenz +2
We study a strongly interacting chain of anyons with fusion rules determined by SO(5)2. The phase portrait is identified with a combination of numerical and analytical techniques.…
Collective states of interacting non-Abelian anyons
Peter E. Finch, Holger Frahm
We study the finite size spectrum of integrable quantum chains of interacting non-Abelian anyons constructed using the Drinfeld double of the dihedral group . The gapless low…