Abstract
Abstract The phenomenon of fractional quantum Hall effect (FQHE) was first experimentally observed 33 years ago. FQHE involves strong Coulomb interactions and correlations among the electrons, which leads to quasiparticles with fractional elementary charge. Three decades later, the field of FQHE is still active with new discoveries and new technical developments. A significant portion of attention in FQHE has been dedicated to filling factor 5/2 state, for its unusual even denominator and possible application in topological quantum computation. Traditionally, FQHE has been observed in high-mobility GaAs heterostructure, but new materials such as graphene also open up a new area for FQHE. This review focuses on recent progress of FQHE at 5/2 state and FQHE in graphene.
Highlights
Many theoretical and experimental efforts are still ongoing after 33 years of fractional quantum Hall effect (FQHE) research
Even without non-Abelian statistics, 5/2 state itself is important for being an even denominator state
FQHE states observed in traditional transport measurements are still limited to denominator 3
Summary
Hall effect was discovered in 1879, in which a Hall voltage perpendicular to the current is produced across a conductor under a magnetic field. In 1980, quantum Hall effect was observed in two-dimensional electron gas (2DEG) system [1,2]. QHE's voltage has a stepwise dependence on the magnetic field (B), as compared to a linear dependence as in Hall effect Those step resistances are well defined plateaus, and quantized as h/e2 divided by an integer number n, with extremely high resolution at the level of a few parts in 1010 [3,4]. Laughlin proposed an elegant wave function to explain the first FQH state [11,12,5] In this wave function, interaction between electrons is considered and Laughlin's wave function explains other 1/m (m is an odd integer) fractional quantum Hall states [11,12]. More reading about QHE or FQHE may refer to [33,34,28,35]
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
