Anisotropic transport properties in prismatic topological insulator nanowires
arxiv(2024)
摘要
The surface of a three dimensional topological insulator (TI) hosts surface
states whose properties are determined by a Dirac-like equation. The electronic
system on the surface of TI nanowires with polygonal cross-sectional shape
adopts the corresponding polygonal shape. In a constant transverse magnetic
field, such an electronic system exhibits rich properties as different facets
of the polygon experience different values of the magnetic field due to the
changing magnetic field projection between facets. We investigate the energy
spectrum and transport properties of nanowires where we consider three
different polygonal shapes, all showing distinct properties visible in the
energy spectrum and transport properties. Here we propose that the wire
conductance can be used to differentiate between cross-sectional shapes of the
nanowire by rotating the magnetic field around the wire. Distinguishing between
the different shapes also works in the presence of impurities as long as
conductance steps are discernible, thus revealing the sub-band structure.
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