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A $\Gamma$-matrix generalization of the Kitaev model
- Source :
- Phys. Rev. B 79, 134427 (2009).
- Publication Year :
- 2008
-
Abstract
- 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.<br />Comment: A revised version
- Subjects :
- Condensed Matter - Mesoscale and Nanoscale Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. B 79, 134427 (2009).
- Publication Type :
- Report
- Accession number :
- edsarx.0811.1380
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevB.79.134427