English

Composite fermions in quantum Hall systems

Mesoscale and Nanoscale Physics 2007-05-23 v1

Abstract

The occurrence of incompressible quantum fluid states of a two dimensional system is a result of electron--electron interactions in a highly degenerate fractionally filled Landau level. Novel quasiparticles (QP's) called composite Fermions (CF's) have allowed a simple single particle description of the most prominent incompressible states. Residual interactions among these QP's are investigated. These interactions determine the type of "daughter states" that can occur at the next generation. We demonstrate that at certain values of the QP filling factor nu_QP, Laughlin correlations among the QP's give rise to states of the standard CF hierarchy. At other values of nu_QP pairing of QP's is found leading to a novel hierarchy of incompressible states.

Keywords

Cite

@article{arxiv.cond-mat/0308407,
  title  = {Composite fermions in quantum Hall systems},
  author = {John J. Quinn and Arkadiusz Wojs and Kyung-Soo Yi and Jennifer J. Quinn},
  journal= {arXiv preprint arXiv:cond-mat/0308407},
  year   = {2007}
}

Comments

Int. School of Physics "Enrico Fermi"; Varenna, Italy, 7/29-8/8/2003; 29 pages, 10 figures