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PdFe/Ir(111) has attracted tremendous attention for next-generationspintronics devices due to existence of magnetic skyrmions with the externalmagnetic field. Our density functional theoretical calculations in combinationwith spin dynamics simulation suggest that the spin spiral phase in fcc stackedPdFe/Ir(111) flips into the skyrmion lattice phase around B$_{ext} \sim$ 6 T.This leads to the microscopic understanding of the thermodynamic and kineticbehaviours affected by the intrinsic spin-lattice couplings (SLCs) in thisskyrmion material for magneto-mechanical properties. Here we calculate fullyrelativistic SLC parameters from first principle computations and investigatethe effect of SLC on dynamical magnetic interactions in skyrmion multilayersPdFe/Ir(111). The exchange interactions arising from next nearest-neighbors(NN) in this material are highly frustrated and responsible for enhancingskyrmion stability. We report the larger spin-lattice effect on both dynamicalHeisenberg exchanges and Dzyaloshinskii-Moriya interactions for next NNcompared to NN which is in contrast with recently observed spin-lattice effectin bulk bcc Fe and CrI$_3$ monolayer. Based on our analysis, we find that theeffective measures of SLCs in fcc (hcp) stacking of PdFe/Ir(111) are $\sim 2.71( \sim 2.36)$ and $\sim 14.71 ( \sim21.89)$ times stronger for NN and next NNrespectively, compared to bcc Fe. The linear regime of displacement for SLCparameters is $\leq$ 0.02 {\AA} which is 0.72\% of the lattice constant forPdFe/Ir(111). The microscopic understanding of SLCs provided by our currentstudy could help in designing spintronic devices based on thermodynamicproperties of skyrmion multilayers.

Microscopic effect of spin-lattice couplings on dynamical magnetic interactions of a skyrmion system PdFe/Ir(111)