Nodal Structure of Superconductors with Time-Reversal Invariance and Z2 Topological Number

Details Nodal Structure of Superconductors with Time-Reversal Invariance and Z2 Topological Number Nodal Structure of Superconductors with Time-Reversal Invariance and Z2 Topological Number

2006-02-19

arxiv.org/abs/cond-mat/0602445v1

Phys. Rev. B73, 214502 (2006)

Physics

Condensed Matter

Superconductivity

11 pages, 8 figures

Scientific paper

10.1103/PhysRevB.73.214502

A topological argument is presented for nodal structures of superconducting states with time-reversal invariance. A generic Hamiltonian which describes a quasiparticle in superconducting states with time-reversal invariance is derived, and it is shown that only line nodes are topologically stable in single-band descriptions of superconductivity. Using the time-reversal symmetry, we introduce a real structure and define topological numbers of line nodes. Stability of line nodes is ensured by conservation of the topological numbers. Line nodes in high-Tc materials, the polar state in p-wave paring and mixed singlet-triplet superconducting states are examined in detail.

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