Fig. 1

a Schematic of a typical transverse magnetic focusing device. Electrons injected at lead \(\mathrm {L}^{}_{1}\) are focused and collected at lead \(\text {L}^{}_{2}\) by applying an out-of-plane magnetic field \(B^{}_{{z}}\). If the Rashba effect is present, spin-up (red) and spin-down (blue) electrons have different trajectories due to spin–orbit interaction. Distance between the leads (D) is defined from the middle of each lead. b Example conductance spectrum for a transverse magnetic focusing device showing conductance as a function of the out-of-plane magnetic field calculated using the method described in Sect. Numerical Model. The solid line (purple) shows the total conductance, the dashed (red) and dotted (blue) lines show the spin projected conductance for spin-up and spin-down in x, respectively