Critical behaviour at the metal-insulator transition in 3-dimensional disordered systems in a strong magnetic field

Abstract

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.

4 pages, Revtex, 5 Encapsulated PostScript figures are appended

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Cited by in corpus (6)

• Universality classes of the Anderson Transitions Driven by non-Hermitian Disorder
• Level spacings at the metal-insulator transition in the Anderson Hamiltonians and multifractal random matrix ensembles
• Energy-level statistics at the metal-insulator transition in anisotropic systems
• Level-statistics in Disordered Systems: A single parametric scaling and Connection to Brownian Ensembles
• One-parameter Superscaling at the Metal-Insulator Transition in Three Dimensions
• Critical properties in long-range hopping Hamiltonians