Fractional quantum Hall effect at the filling factor ν=5/2
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by
Ken K. W. Ma, Michael R. Peterson, V. W. Scarola, Kun Yang
2022
Abstract
The fractional quantum Hall (FQH) effect at the filling factor ν=5/2 was
discovered in GaAs heterostructures more than 35 years ago. Various topological
orders have been proposed as possible candidates to describe this FQH state.
Some of them possess non-Abelian anyon excitations, an entirely new type of
quasiparticle with fascinating properties. If observed, non-Abelian anyons
could offer fundamental building blocks of a topological quantum computer.
Nevertheless, the nature of the FQH state at ν=5/2 is still under debate.
In this chapter, we provide an overview of the theoretical background,
numerical results, and experimental measurements pertaining to this special FQH
state. Furthermore, we review some recent developments and their possible
interpretations. Possible future directions toward resolving the nature of the
5/2 state are also discussed.
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