hopping detection method, Equation S1, is run over a single Li trajectory until a hop is detected, and then repeated iteratively, using the detected hopping point as a new starting point. Also an additional filter is used which ensures a residence time of 0.5 ns to exclude jump attempts from the detection. Examples of discretized Li squared displacement trajectories of the -LPS are shown in Figure . We test the sensitivity of the calculated jump frequency from MD simulations on the selected threshold a from Equation S1 and show the result in Figure . We find a plateau between 2.8 and 3.2 Å and thus select a cutoff of 3 Å.