Using first-principles calculations and atomistic spin simulations, we predict stable isolated skyrmions with a diameter below 10 nm in a monolayer of the two-dimensional van der Waals ferromagnet ${\mathrm{Fe}}_5{\mathrm{GeTe}}_2$, a material of significant experimental interest. A very large Dzyaloshinskii-Moriya interaction (DMI) is observed due to the intrinsic broken inversion symmetry and strong spin-orbit coupling for monolayer ${\mathrm{Fe}}_5{\mathrm{GeTe}}_2$. We show that the nearest-neighbor approximation, often used in the literature, fails to describe the DMI. The strong DMI together with moderate in-plane magnetocrystalline anisotropy energy allows to stabilize nanoscale skyrmions in out-of-plane magnetic fields above $\approx 2$ T. The energy barriers of skyrmions in monolayer ${\mathrm{Fe}}_5{\mathrm{GeTe}}_2$ are comparable to those of state-of-the-art transition-metal ultrathin films. We further predict that these nanoscale skyrmions can be stable for hours at temperatures up to 20 K.

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• Skyrmions
• Spin dynamics
• Spin-orbit coupling
• Spintronics
• van der Waals systems
• Density functional theory
• Spin lattice models