A $Γ$-matrix generalization of the Kitaev model

Details A $Γ$-matrix generalization of the Kitaev model A $Γ$-matrix generalization of the Kitaev model

2008-11-10

arxiv.org/abs/0811.1380v4

Phys. Rev. B 79, 134427 (2009).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

A revised version

Scientific paper

10.1103/PhysRevB.79.134427

We extend the Kitaev model defined for the Pauli-matrices to the Clifford algebra of $\Gamma$-matrices, taking the $4 \times 4$ representation as an example. On a decorated square lattice, the ground state spontaneously breaks time-reversal symmetry and exhibits a topological phase transition. The topologically non-trivial phase carries gapless chiral edge modes along the sample boundary. On the 3D diamond lattice, the ground states can exhibit gapless 3D Dirac cone-like excitations and gapped topological insulating states. Generalizations to even higher rank $\Gamma$-matrices are also discussed.

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