Three-dimensional topological phase on the diamond lattice

Details Three-dimensional topological phase on the diamond lattice Three-dimensional topological phase on the diamond lattice

2008-11-13

arxiv.org/abs/0811.2036v2

Phys. Rev. B 79, 075124 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 5 figures

Scientific paper

10.1103/PhysRevB.79.075124

An interacting bosonic model of Kitaev type is proposed on the three-dimensional diamond lattice. Similarly to the two-dimensional Kitaev model on the honeycomb lattice which exhibits both Abelian and non-Abelian phases, the model has two (``weak'' and ``strong'' pairing) phases. In the weak pairing phase, the auxiliary Majorana hopping problem is in a topological superconducting phase characterized by a non-zero winding number introduced in A. P. Schnyder, S. Ryu, A. Furusaki, and A. W. W. Ludwig, arXiv:0803.2786. The topological character of the weak pairing phase is protected by a discrete symmetry.

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