期刊
IUPAP C20 CONFERENCE ON COMPUTATIONAL PHYSICS (CCP 2011)
卷 402, 期 -, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1742-6596/402/1/012021
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We review some theoretical progress towards understanding the origin of the fractional quantum Hall effect at filling factor 5/2 using numerical techniques. The leading candidate thought to describe the physics is the Moore-Read Pfaffian state which supports non-abelian anyonic excitations. Interestingly, these excitations have possible applications in topologically protected quantum information processing. Specifically, we discuss how the finite-thickness of realistic quasi-two-dimensional systems stabilizes the Moore-Read Pfaffian in the fractional quantum Hall effect at 5/2 and the use of bilayer systems in the second Landau level to investigate the possible quantum phase transition between abelian and non-abelian fractional quantum Hall states.
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