A direct connection between quantum Hall plateaus and exact pair states in a 2D electron gas
Autor: | Kewen Xiao, Zejun Li, Wenhua Hai |
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Rok vydání: | 2011 |
Předmět: |
Physics
Infinite set Condensed matter physics QC1-999 band-like structure 2d electron gas exact pair state General Physics and Astronomy Heterojunction hydrogen pseudo-atom Function (mathematics) Quantum Hall effect Condensed Matter::Mesoscopic Systems and Quantum Hall Effect Connection (mathematics) Magnetic field quantum hall effect Quantum spin Hall effect Quantum mechanics Fermi gas |
Zdroj: | Open Physics, Vol 9, Iss 6, Pp 1509-1517 (2011) |
ISSN: | 2391-5471 |
Popis: | It is previously found that the two-dimensional (2D) electron-pair in a homogeneous magnetic field has a set of exact solutions for a denumerably infinite set of magnetic fields. Here we demonstrate that as a function of magnetic field a band-like structure of energy associated with the exact pair states exists. A direct and simple connection between the pair states and the quantum Hall effect is revealed by the band-like structure of the hydrogen “pseudo-atom”. From such a connection one can predict the sites and widths of the integral and fractional quantum Hall plateaus for an electron gas in a GaAs-AlxGa1−x As heterojunction. The results are in good agreement with the existing experimental data. |
Databáze: | OpenAIRE |
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