Three-dimensional topological phase on the diamond lattice
Mesoscale and Nanoscale Physics
2009-11-13 v2 Strongly Correlated Electrons
Abstract
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.
Cite
@article{arxiv.0811.2036,
title = {Three-dimensional topological phase on the diamond lattice},
author = {Shinsei Ryu},
journal= {arXiv preprint arXiv:0811.2036},
year = {2009}
}
Comments
7 pages, 5 figures