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Anyonic quantum spin chains: Spin-1 generalizations and topological stability
There are many interesting parallels between systems of interacting non-Abelian anyons and quantum magnetism occurring in ordinary SU(2) quantum magnets. Here we consider theories of so-called
NEW CLASS OF NON-ABELIAN SPIN-SINGLET QUANTUM HALL STATES
We present a new class of non-abelian spin-singlet quantum Hall states, generalizing Halperin's abelian spin-singlet states and the Read-Rezayi non-abelian quantum Hall states for spin-polarized
Exact results for a Z3 -clock-type model and some close relatives
In this paper, we generalized the Peschel-Emery line of the interacting transverse field Ising model to a model based on three-state clock variables. Along this line, the model has exactly degenera
Collective states of interacting Fibonacci anyons.
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 ground-state degeneracy
Fermionic Characters and Arbitrary Highest-Weight Integrable ŝl r + 1-Modules
This paper contains the generalization of the Feigin-Stoyanovsky construction to all integrable ŝlr+1-modules.We give formulas for the q-characters of any highestweight integrable module of ŝlr+1 as
Microscopic models of interacting Yang–Lee anyons
Collective states of interacting non-Abelian anyons have recently been studied mostly in the context of certain fractional quantum Hall states, such as the Moore-Read state proposed to describe the
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