Composite fermion theory, edge currents and the fractional quantum Hall effect

SURFACE SCIENCE

卷:361

Article; Proceedings Paper

关键词: electrical transport;    electrical transport measurements;    Hall effect;    magnetic phenomena;    many body and quasi-particle theories;    quantum effects;    semiconductor-semiconductor heterostructures;    semi-empirical models and model calculations;   

DOI  :  10.1016/0039-6028(96)00319-6

来源: Elsevier

【 摘 要 】

We present a mean field theory of composite fermion edge channel transport in the fractional and integer quantum Hall regimes. An expression relating the electrochemical potentials of composite fermions at the edges of a sample to those of the corresponding electrons is obtained, and a plausible form is assumed for the composite fermion Landau level energies near the edges. The theory yields the observed fractionally quantized Hall conductances and also explains other experimental results. We also discuss briefly some experiments that are relevant to the question as to whether fractional edge states in real devices should be described as Fermi or Luttinger liquids.

【 授权许可】

Free