2004/01/02 by Chenggang Zhou, Mona Berciu, R. N. Bhatt · 11 citations
Engineering · Mathematics · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Computer science #Condensed matter physics #Integer (computer science) #Landau quantization #Limit (mathematics) #Magnetic field #Mathematical analysis #Mathematics #Mixing (physics) #Modulation (music) #Physics #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Semiconductor Quantum Structures and Devices #Statistical physics #Transversal (combinatorics) #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.71.125310
published in Physical Review B 71(12) (American Physical Society) · 15 pages, 13 figures, several pictures have been shrunk to comply with the size requirements
arxiv created 2004/01/02 · openalex publication_date 2005/03/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Motivated by the recent experiments on periodically modulated, two-dimensional electron systems placed in large transversal magnetic fields [S. Melinte et al., Phys. Rev. Lett. 92, 036802 (2004)], we investigate the interplay between the effects of disorder and periodic potentials in the integer quantum Hall regime. In particular, we study the case where disorder is larger than the periodic modulation, but both are small enough that Landau level mixing is negligible. We carry extensive numerical calculations to understand the relevant physics in the lowest Landau level, such as the spectrum and nature (localized or extended) of the wave functions. Based on our results, we propose a qualitative explanation of the new features uncovered recently in these transport measurements.