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(Color online) Schematic diagram of waveguide with continuous shape, which experiences the constriction around x = 0 and tends to a constant w 0 asymptotically. The corresponding spin-split energy bands are shown in the lower panel, demonstrating that the effective potential is strongly spin-dependent.
(Color online) (a) Dependence of E − (solid), E + (dotted), and Eb (dashed) on r. The waveguide is a repulsive potential, where a = 3, L = 0.5, w 1 = 1/5, and the strength of SOC is α = 0.01, as typical for GaAs-based structures. (b-d) Three main transmissions Tδδ ′ versus r with different boundaries, L = 0.5 (b), L = 0.25 (c), L = 0.1 (d), where δ ′ and δ represent the incidence and transmission channels. The increase in T – at r close to one is due to the almost resonant tunneling in this channel at these values of r (cf. Fig. 1).
(Color online) Cosine of the spin angle θ as a function of x coordinate, with the incidence energies E + (solid line, spin +) and E − (dashed line, spin −), given by k = 4.35 and r = 0.8. Other parameters are the same as those in Fig. 2(a).
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