Abstract
The selection rule in the quantum Hall effect is derived from the generalised spin statistics connection. For a two-dimensional fermion system, a necessary condition to have the quantum Hall effect at a filling factor v=p/q (p and q are mutual primes) is exp(ipq pi )=exp(ip2 pi ); hence q must be an odd integer. For a two-dimensional boson system, a necessary condition to have the quantum Hall effect at v=p/q is exp(ipq pi )=1, hence a filling factor v with both odd p and q is excluded from the quantum Hall effect, but other filling factors are possible candidates.
Sign-in/Register to access full text options 
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.
