Abstract
Abstract This is a review of the composite fermion theory of the fractional quantum Hall effect (FQHE). This theory provides a microscopic description of the low energy states of the strongly correlated electrons in the FQHE regime in terms of weakly interacting composite fermions, where a composite fermion is an electron bound to an even number of vortices. In the simplest cases, the FQHE can be construed as a manifestation of the integer quantum Hall effect of the composite fermions. Based on these ideas, simple Jastrow-Slater trial wavefunctions are written for the incompressible FQHE states as well as their low energy excitations. Extensive numerical work has been performed to confirm their validity. In particular, these have essentially 100% overlap with the true Coulomb states for few particle systems. Various consequences of the theory are in excellent agreement with experiments. Notably, it provides a unified framework for the fractional and integer quantum Hall effects, consistent with the experimental fact that there is no qualitative distinction between the observation of various plateaus. Also, the prominent fractions are clearly identified and compare well with the experimentally observed fractions.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.