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Superconductivity in Weyl metals.

Alexander Zyuzin

KTH Stockholm,
Salle de réunion 315 3ème Sud

We report on a study of intrinsic superconductivity in a doped Weyl semimetal. We find that, in an inversion-symmetric Weyl metal, the odd-parity BCS state has a lower energy than the FFLO state, despite the nodes in the gap. The FFLO state, on the other hand, may have a lower energy in a noncentrosymmetric Weyl metal, in which Weyl nodes of opposite chirality have different energy. However, realizing the FFLO state is, in general, very difficult since the paired states are not related by any exact symmetry, which precludes a weak-coupling superconducting instability. We also discuss some of the physical properties of the nodal BCS state, in particular, Majorana and Fermi arc surface states.


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