Phys. Rev. B 79, 134427 (2009) [11 pages]Γ-matrix generalization of the Kitaev modelReceived 19 February 2009; published 22 April 2009 We extend the Kitaev model defined for the Pauli matrices to the Clifford algebra of Γ matrices, taking the 4×4 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 nontrivial phase carries gapless chiral edge modes along the sample boundary. On the three-dimensional (3D) diamond lattice, the ground states can exhibit gapless 3D Dirac-cone-like excitations and gapped topological insulating states. Generalizations to even higher rank Γ matrices are also discussed. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.79.134427
DOI:
10.1103/PhysRevB.79.134427
PACS:
75.10.Jm, 73.43.−f, 75.50.Mm
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.