Anisotropic Superconductivity Emerging from the Orbital Degrees of Freedom in a ${\Gamma }_3$ Non-Kramers Doublet System

Abstract

We study superconductivity in a three-orbital model for $f^2$ ions with the ${\Gamma }_3$ crystalline electric field (CEF) ground state. An antiferromagnetic interaction between the ${\Gamma }_7$ and ${\Gamma }_8$ orbitals is introduced to stabilize the ${\Gamma }_3$ CEF state. This interaction also works as an on-site attractive interaction for spin-singlet pairing between electrons in these orbitals. The interorbital pairing state composed of the ${\Gamma }_7$ and ${\Gamma }_8$ orbitals on the same site has the $E_g$ symmetry. Indeed, by applying the random phase approximation, we find that the $E_g$ spin-singlet superconducting state is realized over a wide parameter range.

4 pages, 4 figures

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• Flat Surface State with Octupole Moment in an $e_g$ Orbital System on a Simple Cubic Lattice