Many Particle Hamiltonian for the Fractional Quantum Hall Effect
| dc.creator | Chung, Myung-Hoon | |
| dc.date | 1993-02-19 | |
| dc.date.accessioned | 2026-07-07T03:06:47Z | |
| dc.date.available | 2026-07-07T03:06:47Z | |
| dc.description | 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. | |
| dc.description | 24 pages, 4 figures available from lois@control, Latex, EFI 92-47 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9302032 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9302032 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/26942 | |
| dc.subject | Condensed Matter | |
| dc.title | Many Particle Hamiltonian for the Fractional Quantum Hall Effect | |
| dc.type | text |