Topological phases and the quantum spin Hall effect in three dimensions
Abstract
We show the existence of topological phases of Bloch insulators with time-reversal symmetry in three dimensions. These phases are characterized by topological Z2 invariants whose stability is studied using band-touching arguments. Unlike insulators which break time-reveral symmetry, some of these topological phases are intrinsically three dimensional. The number of invariants (four) needed to specify the phase of these insulators also differs from the time-reversal-breaking case. The relation between these phases and the quantum spin Hall effect in three dimensions is investigated.
- Publication:
-
Physical Review B
- Pub Date:
- May 2009
- DOI:
- arXiv:
- arXiv:cond-mat/0607531
- Bibcode:
- 2009PhRvB..79s5322R
- Keywords:
-
- 73.43.-f;
- 72.25.-b;
- 73.20.At;
- Quantum Hall effects;
- Spin polarized transport;
- Surface states band structure electron density of states;
- Condensed Matter - Mesoscale and Nanoscale Physics
- E-Print:
- Phys. Rev. B 79, 195322 (2009)