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Exact density of states of the lowest Landau level in a spin- system with uncorrelated disorders

1996/10/21 by Ming-Hsien Tu, Min-Fong Yang · 2 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.55.5205

published as Phys. Rev. B 55, 5205 (1997) · 7 pages, RevTeX, 5 PS figures

arxiv created 1996/10/21 · openalex publication_date 1997/02/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Using the path-integral approach developed by Br'ezin, Gross, and Itzykson [Nucl. Phys. B 235, 24 (1984)], we obtain an analytical expression for the density of states of a spin- disordered two-dimensional electron gas in a strong, perpendicular magnetic field. The density of states of this system illustrates the interplay between the Zeeman splitting of Landau levels and the disorder-induced broadening. We find that the broadening and the band splitting of the Landau bands are enhanced due to the level repulsion from the mixing of two spin orientations caused by the random scatterings. The comparison between the spin- model and the double-layer system is also discussed.

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