Symmetry and topology of noncentrosymmetric superconductors

Journal Article · Sat Aug 15 04:00:00 EDT 2015 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2015.04.024· OSTI ID:22451206

We present a detailed analysis of the pairing symmetry and the order parameter topology in superconductors without centre of inversion. Strong spin–orbit coupling of electrons with the crystal lattice leads to a large splitting of the Bloch bands, which makes it necessary to use a multiband description of superconductivity. We identify stable superconducting states and derive the Bogoliubov–de Gennes Hamiltonian, which determines the spectrum of fermionic quasiparticles. To develop a topological classification of the superconducting states we introduce two different types of topological invariants, the Chern numbers and the Maurer–Cartan invariants, and apply them to three-dimensional noncentrosymmetric superconductors, both with and without time reversal symmetry breaking.

• OSTI ID: 22451206
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 359; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ELECTRONS
HAMILTONIANS
L-S COUPLING
ORDER PARAMETERS
SUPERCONDUCTIVITY
SUPERCONDUCTORS
SYMMETRY BREAKING
THREE-DIMENSIONAL LATTICES
TOPOLOGY