Ensemble density functional theory for inhomogeneous fractional quantum hall systems
| Autor: | M. I. Lubin, Michael Johnson, Olle Heinonen |
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| Rok vydání: | 1996 |
| Předmět: |
Physics
Condensed matter physics Filling factor Condensed Matter (cond-mat) FOS: Physical sciences Condensed Matter Landau quantization Quantum Hall effect Condensed Matter::Mesoscopic Systems and Quantum Hall Effect Condensed Matter Physics Atomic and Molecular Physics and Optics Quantum spin Hall effect Hall effect Magnetic flux quantum Quantum mechanics Fractional quantum Hall effect Composite fermion Physical and Theoretical Chemistry |
| Zdroj: | Scopus-Elsevier |
| ISSN: | 1097-461X 0020-7608 |
| DOI: | 10.1002/(sici)1097-461x(1996)60:7<1443::aid-qua26>3.0.co;2-3 |
| Popis: | The fractional quantum Hall effect (FQHE) occurs at certain magnetic field strengths B*(n) in a two-dimensional electron gas of density n at strong magnetic fields perpendicular to the plane of the electron gas. At these magnetic fields strengths, the system is incompressible, i.e., there is a finite cost in energy for creating charge density fluctuations in the bulk, while the boundary of the electron gas has gapless modes of density waves. The bulk energy gap arises because of the strong electron-electron interactions. While there are very good models for infinite homogeneous systems and for the gapless excitations of the boundary of the electron gas, computational methods to accurately model finite, inhomogeneous systems with more then about ten electrons have not been available until very recently. We will here review an ensemble density functional approach to studying the ground state of large inhomogeneous spin polarized FQHE systems. Comment: 23 pages (revtex), 6 Postscript figures. To be published in Int. J. Quant. Chem. (invited talk at the 1996 Sanibel Symposium) |
| Databáze: | OpenAIRE |
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