A chain of strongly correlated SU(2)4 anyons: Hamiltonian and Hilbert space of states

Abstract

One-dimensional lattice model of SU(2)4 anyons containing a transition into the topological ordered phase state is considered. An effective low-energy Hamiltonian is found for half-integer and integer indices of the type of strongly correlated non-Abelian anyons. The Hilbert state space properties in the considered modular tensor category are studied.

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