Spin Susceptibility of a J=3/2 Superconductor

Abstract

We discuss the spin susceptibility of superconductors in which a Cooper pair consists of two electrons having the angular momentum J=3/2 due to strong spin-orbit interactions. The susceptibility is calculated analytically for pseudospin quintet states in a cubic superconductor within the linear response to a Zeeman field. The susceptibility for $A_{1g}$ symmetry states is isotropic in real space. For $E_g$ and $T_{2g}$ symmetry cases, the results depend sensitively on choices of order parameter. The susceptibility is isotropic for a $T_{2g}$ symmetry state, whereas it becomes anisotropic for an $E_g$ symmetry state. We also find in a $T_{2g}$ state that the susceptibility tensor has off-diagonal elements.

11 pages, 3 figures

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• Low-temperature anomaly and anisotropy of critical magnetic fields in transition-metal dichalcogenide superconductors
• Evolution and Instability of Bogoliubov Fermi Surfaces under Zeeman Field