1993/02/19 by Myung-Hoon Chung, Chung, Myung-Hoon
Engineering · Physics and Astronomy · #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #Surface and Thin Film Phenomena #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/9302032
24 pages, 4 figures available from lois@control, Latex, EFI 92-47
arxiv created 1993/02/19 · arxiv updated 2009/11/30
A many-particle Hamiltonian is proposed in order to explain the fractional quantum Hall effect (FQHE) for fractional filling factors ν< 1. The solutions of the corresponding Hartree-Fock equations make it possible to discuss the FQHE from the point of view of the single quasi-particle energy spectrum. It is shown how the specific couplings in the many-particle Hamiltonian depend on the magnetic field and the area density of electrons. The degeneracies of the quasi-particle states are related to the fractional filling factors ν. It is suggested that the energy gaps obtained in the quasi-particle energy spectrum are comparable with the experimentally measured quantities. An explicit calculation for the FQH - conductance is given and its character as a topological invariant is discussed.