Topological excitations in three dimensional Kitaev model

Details Topological excitations in three dimensional Kitaev model Topological excitations in three dimensional Kitaev model

2011-01-19

arxiv.org/abs/1101.3718v1

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 4 figures

Scientific paper

We study the excitations in a three dimensional version of Kitaev's spin-1/2 model on the honeycomb lattice introduced by the present authors recently. The gapped phase of the system is analyzed using a low energy effective Hamiltonian which is defined on the diamond lattice and consists of plaquette operators. The excitations of the effective Hamiltonian form loops in an embedded lattice. The elementary excitations, which are the shortest loops, are fermions. Moreover, the excitations obey nontrivial braiding rules: when a fermion winds through a loop, the wave function acquires a phase $\pi$.

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