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Accurate determination of the full momentum-dependent spin susceptibility$\chi(\mathbf{q}) $ is very important for the description of magnetism andsuperconductivity. While in principle the formalism for calculating$\chi(\mathbf{q})$ in the linear response density functional theory (DFT) iswell established, hardly any publicly available code includes this capability.Here, we describe an alternative way to calculate the static$\chi(\mathbf{q})$, which can be applied to most common DFT codes withoutadditional programming. The method combined standard fixed-spin-momentcalculations of $\chi(\mathbf{0}) $ with direct calculations of the energy ofspin spirals stabilized by an artificial Hubbard interaction. From thesecalculations, $\chi_{DFT}(\mathbf{q} )$ can be extracted by inverting the RPAformula. We apply this recipe to the recently discovered Isingsuperconductivity in NbSe$_2$ monolayer, one of the most exciting findings insuperconductivity in recent years. It was proposed that spin fluctuations maystrongly affect the parity of the order parameter. Previous estimates suggestedproximity to ferromagnetism, $i.e.$, $\chi(\mathbf{q})$ peaked at$\mathbf{q}=0$. We find that the structure of spin fluctuations is morecomplicated, with the fluctuation spectrum sharply peaked at $\mathbf{q}\approx(0.2,0)$. Such a spectrum would change the interband pairing interaction andconsiderably affect the superconducting state.

Renormalized q-dependent Spin Susceptibility by inverting the Random  Phase Approximation: Implications for quantitative assessment of the role of  spin fluctuations in 2D Ising superconductor NbSe$_{2}$