Topological Blount's theorem of odd-parity superconductors

Shingo Kobayashi; Ken Shiozaki; Yukio Tanaka; Masatoshi Sato

doi:10.1103/PhysRevB.90.024516

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Topological Blount's theorem of odd-parity superconductors

Shingo Kobayashi, Ken Shiozaki, Yukio Tanaka, Masatoshi Sato

DOI 10.1103/PhysRevB.90.024516 · Physical Review B

T1

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Abstract

Blount's theorem prohibits the existence of line nodes for odd-parity superconductors (SCs) in the presence of spin-orbit coupling (SOC). We studied the topological stability conditions of line nodes under inversion symmetry by generalizing the original statement and establishing a relation to surface zero-energy states. The topological instability of line nodes in odd-parity SCs implies the disappearance of corresponding flat zero-energy surface dispersions due to surface Rashba SOC, which provides an experimental means to distinguish line nodes in odd-parity SCs from those in other SCs.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
UPt3 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
CePt3Si Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown