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The Hofstadter Spectrum and Photoluminescence

1995/03/09 by Lian Zheng, Zheng, Lian, H. A. Fertig +1
Engineering · Materials Science · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Optical Coatings and Gratings #Photorefractive and Nonlinear Optics #Semiconductor materials and devices #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9503046

13 pages in RevTex, figures available upon request

arxiv created 1995/03/09 · openalex publication_date 1995/03/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The observability of the Hofstadter spectrum generated by a Wigner crystal using photoluminescence techniques is studied. Itinerant hole geometries are examined, in which a hole may combine directly with electrons in the lattice. It is found that when the effect of lattice distortions of the WC due to interactions with the hole are accounted for, only the largest Hofstadter gaps are observable. To overcome the problems of lattice distortion, a novel geometry is proposed, involving a two layer system with electrons in one layer forming a WC and in the other a full Landau level. It is found that recombination of electrons in the full Landau level with \it localized holes reflects the full Hofstadter spectrum of the lattice.

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