Translation invariant topological superconductors on lattice

Details Translation invariant topological superconductors on lattice Translation invariant topological superconductors on lattice

2009-07-18

arxiv.org/abs/0907.3224v2

Physics

Condensed Matter

Superconductivity

4 pages, RevTeX4

Scientific paper

In this paper we introduce four Z_2 topological indices zeta_k=0,1 at k=(0,0), (0,pi), (pi, 0), (pi, pi) characterizing 16 universal classes of 2D superconducting states that have translation symmetry but may break any other symmetries. The 16 classes of superconducting states are distinguished by their even/odd numbers of fermions on even-by-even, even-by-odd, odd-by-even, and odd-by-odd lattices. As a result, the 16 classes topological superconducting states exist even for interacting systems. For non-interacting systems, we find that zeta_k is the number of electrons on k=(0,0), (0,pi), (pi, 0), or (pi,pi) orbitals (mod 2) in the ground state. For 3D superconducting states with only translation symmetry, there are 256 different types of topological superconductors.

Affiliated with

Also associated with

No associations

Rating

Translation invariant topological superconductors on lattice 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 Translation invariant topological superconductors on lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Translation invariant topological superconductors on lattice will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-683350