1996/03/14 by O. Heinonen, Heinonen, O., M. I. Lubin +3
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Surface and Thin Film Phenomena #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/9603100
23 pages (revtex), 6 Postscript figures. To be published in Int. J. Quant. Chem. (invited talk at the 1996 Sanibel Symposium)
arxiv created 1996/03/14 · openalex publication_date 1996/03/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.