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We consider states bound at the flip of the electric field in buckledsilicene. Along the electric flip lines a topological confinement is formedwith the orientation of the charge current and the resulting magnetic dipolemoment determined by the valley index. We compare the topological confinementto the trivial one that is due to a local reduction of the vertical electricfield but without energy gap inversion. For the latter the valley does notprotect the orientation of the magnetic dipole moment from inversion byexternal magnetic field. We demonstrate that the topologically confined statescan couple and form extended bonding or antibonding orbitals with the energysplitting influenced by the geometry and the external magnetic field.

Persistent currents in topological and trivial confinement in silicene