Figure 5: Spin-dependent potential energy on opposite electron momentum directions and the effect of an external magnetic field.
From: Spin–orbit induced electronic spin separation in semiconductor nanostructures

(a) Schematic model of the spin separation and transmission for positive (+p) and negative (−p) momentum directions. The red and blue ovals represent the spin-up and spin-down densities, respectively. (b) Corresponding spin-dependent potential energy along y direction at a black dashed lines in a indicated by the red and blue dashed lines for up spin and down spin, respectively. Opposite spin-dependent potential is induced at the channel centre of the QPC. (c) Schematic model of the spin-dependent potential energy and its evolution under the external magnetic field Bex. The solid red and blue lines represent the energy levels between spin-up and spin-down potentials, respectively, at y=0. The spatial modulation of momentum-dependent effective magnetic field induces the spin-dependent potential energy with opposite spin direction in positive (+p) and negative (−p) momentum directions.