A chain of strongly correlated SU(2)_4 anyons: Hamiltonian and Hilbert space of states

Details A chain of strongly correlated SU(2)_4 anyons: Hamiltonian and Hilbert space of states A chain of strongly correlated SU(2)_4 anyons: Hamiltonian and Hilbert space of states

2010-01-27

arxiv.org/abs/1001.4932v1

Physics

Condensed Matter

Strongly Correlated Electrons

LaTeX2e, 12 pages, 1 figure

Scientific paper

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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