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A New Platform for Edge Mode Manipulations in the Quantum Hall Effect (Hardcover, 1st ed. 2018)
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A New Platform for Edge Mode Manipulations in the Quantum Hall Effect (Hardcover, 1st ed. 2018)
Series: Springer Theses
Expected to ship within 10 - 15 working days
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In the last several decades, the quantum Hall effect has provided a
remarkable platform for manipulating one-dimensional electronic
modes and investigating fundamental physical phenomena. However,
certain limitations make it difficult for various kinds of
interesting modes structures to be formed using this platform. One
example is the so called helical mode structure, in which two
one-dimensional, counter propagating modes have opposite spins and
thus spin and momentum are locked. Such helical modes have lately
attracted significant interest, since, when coupled to a
conventional superconductor, they are expected to manifest
topological superconductivity and host Majorana zero modes. Even
more interesting are fractional helical modes, which open the way
for realizing generalized parafermionic zero modes. Possessing
non-abelian exchange statistics, these quasiparticles may serve as
building blocks in topological quantum computing. Here we present a
new platform for manipulating integer and fractional quantum Hall
edge modes, which allows the formation of robust one-dimensional
helical as well as fractional helical modes. The platform is based
on a carefully designed double-quantum-well structure in a GaAs
based system hosting two electronic sub-bands in the quantum Hall
effect regime. By electrostatic gating of different areas of the
structure, counter-propagating integer, as well as fractional, edge
modes with opposite spins are formed and their spin protection is
verified. Beyond the formation of helical modes, the new platform
can serve as a rich playground for new research. Some new
possibilities include the artificial induction of compounded
fractional edge modes and the construction of new edge mode-based
interferometers.
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