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FORMATION AND CONTROL OF HELICAL STATES IN 2D GASES AND TOPOLOGICAL INSULATORSYing Wang (11154006) 19 July 2021 (has links)
It has been realized that a p-wave order parameter can emerge in a synthetic superconductor constructed from a semiconductor and an s-wave superconductor, provided that
fermion doubling is removed. In one dimension, the required electron spectrum consists
of two counter-propagating modes with opposite spin orientations, so-called helical channels.
Helical channels can be realized in nanowires with spin-orbit interactions in the presence of
magnetic field, topological insulators, at the edges of the quantum spin Hall system, or in the integer and fractional quantum Hall effect regimes. This thesis will
discuss the formation and control of helical states in different systems.
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