| Автор | Yvon Georgelin |
| Автор | Thierry Masson |
| Автор | Jean-Christophe Wallet |
| Дата выпуска | 1997-07-21 |
| dc.description | We consider the action of the modular group on the set of positive rational fractions. From this, we derive a model for a classification of fractional (as well as integer) Hall states which can be visualized on two `visibility' diagrams, the first one being associated with even denominator fractions whereas the second one is linked to odd denominator fractions. We use this model to predict, among some interesting physical quantities, the relative ratios of the width of the different transversal resistivity plateaus. A numerical simulation of the tranversal resistivity plot based on this last prediction fits well with the present experimental data. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Modular groups, visibility diagram and quantum Hall effect |
| Тип | paper |
| DOI | 10.1088/0305-4470/30/14/017 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 30 |
| Первая страница | 5065 |
| Последняя страница | 5075 |
| Выпуск | 14 |
