Fractional quantum Hall effect at the filling factor $\nu=5/2$. Ma, K., K., W., Peterson, M., R., Scarola, V., W., & Yang, K. arxiv:2208.07908, 8, 2022. ![Fractional quantum Hall effect at the filling factor $\nu=5/2$ [link]](https://bibbase.org/img/filetypes/link.svg "link")
Website abstract bibtex The fractional quantum Hall (FQH) effect at the filling factor $\nu=5/2$ 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 $\nu=5/2$ 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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title = {Fractional quantum Hall effect at the filling factor $\nu=5/2$},
type = {article},
year = {2022},
keywords = {Landau level mixing,Majorana fermion,PH-Pfaffian state,Pfaffian state,anti-Pfaffian state,anyons,bulk probes,composite fermion,disorder,edge probes,edge theory,particle hole symmetry,thermal Hall conductance,thermal equilibration,topological order},
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abstract = {The fractional quantum Hall (FQH) effect at the filling factor $\nu=5/2$ 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 $\nu=5/2$ 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.},
bibtype = {article},
author = {Ma, Ken K. W. and Peterson, Michael R. and Scarola, V. W. and Yang, Kun},
journal = {arxiv:2208.07908}
}
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