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Motivated by recent reports of a quantum disordered ground state in thetriangular lattice compound NaRuO$_2$, we derive a $j_{\rm eff}=1/2$ magneticmodel for this system by means of first-principles calculations. The pseudospinHamiltonian is dominated by bond-dependent off-diagonal $\Gamma$ interactions,complemented by a ferromagnetic Heisenberg exchange and a notablyantiferromagnetic Kitaev term. In addition to bilinear interactions, we find asizable four-spin ring exchange contribution with a strongly anisotropiccharacter, which has been so far overlooked when modeling Kitaev materials. Theanalysis of the magnetic model, based on the minimization of the classicalenergy and exact diagonalization of the quantum Hamiltonian, points toward theexistence of a rather robust easy-plane ferromagnetic order, which cannot beeasily destabilized by physically relevant perturbations.

A $j_{\rm eff}=1/2$ Kitaev material on the triangular lattice: The case of NaRuO$_2$