Visibility diagrams and experimental stripe structure in the quantum Hall effect

Details Visibility diagrams and experimental stripe structure in the quantum Hall effect Visibility diagrams and experimental stripe structure in the quantum Hall effect

1999-07-07

arxiv.org/abs/cond-mat/9907098v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages in plain TeX, 7 figures in a single postscript file

Scientific paper

10.1088/0305-4470/33/48/305

We analyze various properties of the visibility diagrams that can be used in the context of modular symmetries and confront them to 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 the Hall conductance. Furthermore, we exhibit new properties of the visibility diagrams stemming from the structure of subgroups of the full modular group.

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