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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.|
|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|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||Physical Review B|
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