"State space of Kitaev's honey-comb lattice model"


Shinji Koshida (Univ. of Tokyo)


We investigate state space of Kitaev's honey-comb lattice model, which is extended to a tight-binding model of Majorana fermions coupled to Z2-gauge fields, with an enlarged Hilbert space. Then each eigenvector is obtained by projection from the enlarged space to the physical subspace. We point out that linearly independent vectors may be projected to linearly dependent vectors, and specify the kernel of this projection to avoid overcounting states. We also study when two different eigenspaces of Z2-gauge fields are projected to the same subspace.

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