Non-Abelian states from topological semimetals and related systems under superconducting proximity effects

Details Non-Abelian states from topological semimetals and related systems under superconducting proximity effects Non-Abelian states from topological semimetals and related systems under superconducting proximity effects

2011-07-21

arxiv.org/abs/1107.4274v7

Physics

Condensed Matter

Strongly Correlated Electrons

Submitted to Europhys. Lett

Scientific paper

Non-Abelian states are characterized by the existence of zero-mode Majorana fermions bound in the quantized vortices, which in the bulk is characterized by an {\em odd} Chern number. In this Letter, we find that in topological semimetals with a single two-band-touching node {\em all} the gapped pairing states are {\em non-Abelian} states, regardless of the pairing details. The property is further generalized to situations where such two-band-touching are gapped and/or deformed. The nonzero Berry phase on the Fermi surface plays an important role in the topological properties of the pairing states.

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