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Localization and interactions in topological and nontopological bands in two dimensions

Author(s): Krishna, A; Ippoliti, M; Bhatt, Ravindra N

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Abstract: A two-dimensional electron gas in a high magnetic field displays macroscopically degenerate Landau levels, which can be split into Hofstadter subbands by means of a weak periodic potential. By carefully engineering such a potential, one can precisely tune the number, bandwidths, band gaps, and Chern character of these subbands. This allows a detailed study of the interplay of disorder, interaction, and topology in two-dimensional systems. We first explore the physics of disorder and single-particle localization in subbands derived from the lowest Landau level, that nevertheless may have a topological nature different from that of the entire lowest Landau level. By projecting the Hamiltonian onto subbands of interest, we systematically explore the localization properties of single-particle eigenstates in the presence of quenched disorder. We then introduce electron-electron interactions and investigate the fate of many-body localization in subbands of varying topological character.
Publication Date: 2019
Citation: Krishna, A, Ippoliti, M, Bhatt, RN. (2019). Localization and interactions in topological and nontopological bands in two dimensions. Physical Review B, 100 (10.1103/PhysRevB.100.054202
DOI: doi:10.1103/PhysRevB.100.054202
Type of Material: Journal Article
Journal/Proceeding Title: Physical Review B
Version: Author's manuscript

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