Purdue University Graduate School
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FORMATION AND CONTROL OF HELICAL STATES IN 2D GASES AND TOPOLOGICAL INSULATORS

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thesis
posted on 2021-07-22, 16:52 authored by Ying WangYing Wang
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.

Funding

National Science Foundation award DMR-1836758

Department of Energy award DE-SC0008630

History

Degree Type

  • Doctor of Philosophy

Department

  • Physics and Astronomy

Campus location

  • West Lafayette

Advisor/Supervisor/Committee Chair

Leonid P. Rokhinson

Additional Committee Member 2

Gabor A. Cs´athy

Additional Committee Member 3

Yuli Lyanda-Geller

Additional Committee Member 4

Haiyan Wang

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