(A) Schematic illustration
of the CISS effect. Electron transmission
through a chiral potential depends on their spin. The linear momenta
of the electrons are coupled to their spins, and therefore electrons
moving from left to right have the opposite spin than those moving
from right to left. In this example, the spin is antiparallel to the
electrons’ velocity. (B, C) Energy vs density of states (DOS),
spin polarized plane wave GGA (generalized-gradient approximation)
calculation for nickel (fcc). PAW (pseudo augmented-wave) PBE (Perdew–Burke–Ernzerhof)
potential, energy cutoff 270 eV (VASP code).40 The dashed line indicates the Fermi level. (B) No magnetic moment
and (C) collinear magnetic moment applied. Note that, for the magnetized
substrate, the density of spin states (“UP” ↑
and “DOWN” ↓ arrows) near the Fermi levels are
different.