Nodal structure of superconductors with time-reversal invariance and Z2 topological number

Masatoshi Sato

doi:10.1103/PhysRevB.73.214502

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Nodal structure of superconductors with time-reversal invariance and Z2 topological number

Masatoshi Sato

DOI 10.1103/PhysRevB.73.214502 · Physical Review B

T1

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Abstract

A topological argument is presented for nodal structures of superconducting states with time-reversal invariance. A generic Hamiltonian which describes a quasiparticle in superconducting states with time-reversal invariance is derived, and it is shown that only line nodes are topologically stable in single-band descriptions of superconductivity. Using the time-reversal symmetry, we introduce a real structure and define topological numbers of line nodes. Stability of line nodes is ensured by conservation of the topological numbers. Line nodes in high-Tc materials, the polar state in p-wave paring, and mixed singlet-triplet superconducting states are examined in detail.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
CePt3Si Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
Li2Pd3B Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
Li2Pt3B Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown