| Автор | I. Bratberg |
| Автор | A. Hansen |
| Автор | E. H. Hauge |
| Дата выпуска | 1997-01-01 |
| dc.description | We point out that the extended Chalker-Coddington model in the “classical” limit, i.e. the limit of large disorder, shows crossover to the so-called “smart kinetic walks”. The reason why this limit has previously been identified with ordinary percolation is, presumably, that the localization length exponents ν coincide for the two problems. Other exponents, like the fractal dimension D, differ. This gives an opportunity to test the consistency of the semiclassical picture of the localization-delocalization transitions in the integer quantum Hall effect. We calculate numerically, using the extended Chalker-Coddington model, two exponents τ and D that characterize critical properties of the geometry of the wave function at these transitions. We find that the exponents, within our precision, are equal to those of two-dimensional percolation, as predicted by the semiclassical picture. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | 1997 EDP Sciences |
| Название | Geometrical exponents in the integer quantum Hall effect |
| Тип | lett |
| DOI | 10.1209/epl/i1997-00111-0 |
| Electronic ISSN | 1286-4854 |
| Print ISSN | 0295-5075 |
| Журнал | EPL (Europhysics Letters) |
| Том | 37 |
| Первая страница | 19 |
| Последняя страница | 24 |
| Аффилиация | I. Bratberg; Institutt for Fysikk, Norges Teknisk-naturvitenskapelige Universitet, N-7034 Trondheim, Norway |
| Аффилиация | A. Hansen; Institutt for Fysikk, Norges Teknisk-naturvitenskapelige Universitet, N-7034 Trondheim, Norway |
| Аффилиация | E. H. Hauge; Institutt for Fysikk, Norges Teknisk-naturvitenskapelige Universitet, N-7034 Trondheim, Norway |
| Выпуск | 1 |
