Competing orders in non-centrosymmetric superconductors

As a motivation I review several recent experiments on transition metal dichalcogenides.

Then I will present what is known about these materials and what makes there response to the magnetic field special. 

I will then review the spin-orbit coupling  based on symmetry considerations.

Then I'll focus on the singlet to triplet conversion induced by the Zeeman field.

Finally I'd discuss the effect this has on the critical field.