Physics – Condensed Matter
Scientific paper
1996-04-16
Physics
Condensed Matter
4 pages, Revtex, 5 Encapsulated PostScript figures are appended
Scientific paper
10.1103/PhysRevB.54.4552
The critical behaviour of 3-dimensional disordered systems in a strong magnetic field is investigated by analysing the spectral fluctuations of the energy spectrum. The level spacing distribution $P(s)$ as well the Dyson-Mehta statistics $\Delta_{3}(L)$ are considered. Except for the small $s$ behaviour of $P(s)$, which depends on the presence or absence of a magnetic field but not on its strength, the other quantities, large $s$ behaviour of $P(s)$ and $\Delta_{3}(L)$, turn out to be independent of its presence or absence and therefore of the time reversal symmetry. This suggests that the metal-insulator transition, which is defined by the symmetry of the system {\it at} the critical point, is independent of the presence or absence of the time reversal symmetry.
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