Introduction to superconductivity in metals without inversion center

Understand

This Chapter gives a brief introduction to some basic aspects metals and superconductors in crystal without inversion symmetry.

• In a first part we analyze some normal state properties which arise through antisymmetric spin-orbit coupling existing in non-centrosymmetric materials and show its influence on the de Haas-van Alphen effect.
• For the superconducting phase we introduce a multi-band formulation which naturally arises due the spin splitting of the bands by spin-orbit coupling.
• It will then be shown how the states can be symmetry classified and their relation to the original classification in even-parity spin-singlet and odd-parity spin-triplet pairing states.