1999/07/07 by Y. Georgelin, Y. M. Georgelin, T. Masson +3
Engineering · Mathematics · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Computer science #Condensed matter physics #Context (archaeology) #Electron #Geology #Interpretation (philosophy) #Mathematics #Modular design #Modular group #Optics #Physics #Pure mathematics #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #Semiconductor Quantum Structures and Devices #Theoretical physics #Visibility #cond-mat.mes-hall
paper · pdf · doi:10.1088/0305-4470/33/48/305
8 pages in plain TeX, 7 figures in a single postscript file
arxiv created 1999/07/07 · openalex publication_date 2000/11/24 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We analyse various properties of the visibility diagrams that can be used in the context of modular symmetries and confront them with some recent experimental developments in the quantum Hall effect. We show that a suitable physical interpretation of the visibility diagrams, which permits one to describe successfully the observed architecture of the quantum Hall states, gives rise naturally to a stripe structure reproducing some of the experimental features that have been observed in the study of the quantum fluctuations of Hall conductance. Furthermore, we show new properties of the visibility diagrams stemming from the structure of subgroups of the full modular group.