Superconductivity in Luttinger semimetals near the SU(4) limit

Majid Kheirkhah; Igor F. Herbut

doi:10.1103/PhysRevB.108.224514

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Superconductivity in Luttinger semimetals near the SU(4) limit

Majid Kheirkhah, Igor F. Herbut

DOI 10.1103/PhysRevB.108.224514 · Physical Review B

T1

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Abstract

We consider the spin-3/2 Luttinger fermions with contact attraction near the SU(4)-symmetric limit of vanishing Luttinger spin-orbit-coupling parameter responsible for band inversion, and at finite chemical potential. In the case of exact SU(4) symmetry the previously considered s-wave and five d-wave superconducting order parameters together form a six-dimensional irreducible representation which transforms as an antisymmetric tensor under SU(4). In this limit, we find the SU(4) [≃SO(6)] symmetry to be spontaneously broken down to the SO(5) at the superconducting transition. When the SU(4) is reduced to the SO(3) by the weak band-inverting kinetic energy term, we show that at low temperatures the superconducting state is is+d, with a dominant s and a small d component, and spontaneously broken time-reversal symmetry. Relevance to superconductivity in doped semiconductors with diamond structure is discussed.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
La3Ni2O7 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown