Polar hairs of mixed-parity nodal superconductors in Rarita-Schwinger-Weyl metals

Mandal, S and Roy, B (2023) Polar hairs of mixed-parity nodal superconductors in Rarita-Schwinger-Weyl metals. In: Physical Review B, 107 (18).

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Abstract

Linearly dispersing Rarita-Schwinger-Weyl (RSW) fermions featuring two Fermi velocities are the key constituents of itinerant spin-3/2 quantum materials. When doped, RSW metals sustain two Fermi surfaces (FSs), around which one fully gapped s wave and five mixed-parity local pairings can take place. The intraband components of four mixed-parity pairings support point nodes at the poles of two FSs, only around which long-lived quasiparticles live. For weak (strong) pairing amplitudes (Δ), gapless north and south poles belonging to the same (different) FS(s) get connected by polar hairs, one-dimensional line nodes occupying the region between two FSs. The remaining one, by contrast, supports four nodal rings in between two FSs, symmetrically placed about their equators, but only when Δ is small. For large Δ, this paired state becomes fully gapped. The transition temperature and pairing amplitudes follow the BCS scaling. We explicitly showcase these outcomes for a rotationally symmetric RSW metal and contrast our findings when the system possesses an enlarged Lorentz symmetry and with those in spin-3/2 Luttinger materials.

Item Type:	Journal Article
Publication:	Physical Review B
Publisher:	American Physical Society
Additional Information:	The copyright for this article belongs to the American Physical Society.
Keywords:	Poles; Superconducting materials, Fermi velocities; Local pairing; Mixed parities; Nodal superconductors; North Pole; One-dimensional; Pairing amplitude; Quasiparticles; S-waves; South pole, Shear waves
Department/Centre:	Division of Physical & Mathematical Sciences > Physics
Date Deposited:	14 Jul 2023 06:17
Last Modified:	14 Jul 2023 06:17
URI:	https://eprints.iisc.ac.in/id/eprint/82393

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