Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-11-04
Phys. Rev. B 85, 155119 (2012)
Physics
Condensed Matter
Strongly Correlated Electrons
17 pages, 9 figures
Scientific paper
10.1103/PhysRevB.85.155119
A time-reversal invariant Kitaev-type model is introduced in which spins (Dirac matrices) on the square lattice interact via anisotropic nearest-neighbor and next-nearest-neighbor exchange interactions. The model is exactly solved by mapping it onto a tight-binding model of free Majorana fermions coupled with static Z_2 gauge fields. The Majorana fermion model can be viewed as a model of time-reversal invariant superconductor and is classified as a member of symmetry class DIII in the Altland-Zirnbauer classification. The ground-state phase diagram has two topologically distinct gapped phases which are distinguished by a Z_2 topological invariant. The topologically nontrivial phase supports both a Kramers' pair of gapless Majorana edge modes at the boundary and a Kramers' pair of zero-energy Majorana states bound to a 0-flux vortex in the \pi-flux background. Power-law decaying correlation functions of spins along the edge are obtained by taking the gapless Majorana edge modes into account. The model is also defined on the one-dimension ladder, in which case again the ground-state phase diagram has Z_2 trivial and non-trivial phases.
Furusaki Akira
Nakai Ryota
Ryu Shinsei
No associations
LandOfFree
Time-reversal symmetric Kitaev model and topological superconductor in two dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Time-reversal symmetric Kitaev model and topological superconductor in two dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Time-reversal symmetric Kitaev model and topological superconductor in two dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-101886