Abstract

An anyon wavefunction (characterized by the statistical factorn)projected onto the lowest Landau level is derived for the fractional quantum Hall effect states at fillingfactor ν = n/(2pn+1) (p and n are integers). We study the properties of the anyon wavefunction by using detailed MonteCarlo simulations in disc geometry and show that the anyon ground-state energy is a lowerbound to the composite fermion one. Our results suggest that the composite fermionscan be viewed as a combination of anyons and a fluid of charge–neutral dipoles.

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 call

Disclaimer: 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.