Simple topological excitations in a nanomagnet: (a) ground state of a ferromagnetic chain, (b) domain wall, and (c) delocalized spin change. The configurations (b) and (c) are protected, that is, (a) cannot be reached by continuous deformation.
DM interactions, spin-orbit coupling, and broken inversion symmetry. The electrons of (a) and (b) move in opposite directions but exhibit the same clockwise spin precession along the path ABC.
(Color online) Nanospirals: (a) Si nanospirals produced by GLAD and (b) chirally spin-polarized magnetic nanospiral.
Nanoscale meaning of the fractional Hall effect: (a) one-electron orbit and (b) many-electron orbits.
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