Physics – Condensed Matter – Superconductivity
Scientific paper
2005-09-09
PRL 96, 167005 (2006)
Physics
Condensed Matter
Superconductivity
4 pages, 2 figures, 1 table (accepted for publication in PRL; substantially rewritten for presentation clarity; references to
Scientific paper
10.1103/PhysRevLett.96.167005
We employ index theoretic methods to study analytically the low energy spectrum of a lattice d-wave superconductor in the vortex lattice state. This allows us to compare singly quantized $hc/2e$ and doubly quantized $hc/e$ vortices, the first of which must always be accompanied by $Z_2$ branch cuts. For an inversion symmetric vortex lattice and in the presence of particle-hole symmetry we prove an index theorem that imposes a lower bound on the number of zero energy modes. Generic cases are constructed in which this bound exceeds the number of zero modes of an equivalent lattice of doubly quantized vortices, despite the identical point group symmetries. The quasiparticle spectrum around the zero modes is doubly degenerate and exhibits a Dirac-like dispersion, with velocities that become universal functions of $\Delta_0/t$ in the limit of low magnetic field. For weak particle-hole symmetry breaking, the gapped state can be characterized by a topological quantum number, related to spin Hall conductivity, which generally differs in the cases of the $hc/2e$ and $hc/e$ vortex lattices.
Melikyan Ashot
Vafek Oskar
No associations
LandOfFree
Index theoretic characterization of d-wave superconductors in the vortex state 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 Index theoretic characterization of d-wave superconductors in the vortex state, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Index theoretic characterization of d-wave superconductors in the vortex state will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-395429