Does Broken Time Reversal Symmetry Modify the Critical Behavior at the Metal-Insulator Transition in 3-Dimensional Disordered Systems?
- 5 December 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 73 (23) , 3137-3140
- https://doi.org/10.1103/physrevlett.73.3137
Abstract
The critical behavior of 3-dimensional disordered systems without time reversal symmetry is investigated by analyzing the spectral fluctuations of the energy spectrum. We show that in the thermodynamic limit we have two different regimes, one for the metallic side and one for the insulating side with different level statistics. The third statistics which occurs only exactly at the critical point is independent of the presence or absence of time reversal symmetry. The critical behavior which is determined by the symmetry of the system at the critical point should therefore be independent of time reversal invariance.Keywords
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This publication has 19 references indexed in Scilit:
- Anderson Transition in a Strong Magnetic FieldEurophysics Letters, 1994
- Critical exponents for the metal-insulator transitionJournal of Physics: Condensed Matter, 1994
- Localization: theory and experimentReports on Progress in Physics, 1993
- Finite-Size Scaling and Critical Exponents. A New Approach and Its Application to Anderson LocalisationEurophysics Letters, 1993
- Anderson Transition in Three-Dimensional Systems in Strong Magnetic FieldsJournal of the Physics Society Japan, 1993
- Four-loop-order β-function of nonlinear σ-models in symmetric spacesNuclear Physics B, 1989
- Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation LawsPhysical Review Letters, 1984
- Gaussian ensembles of random hermitian matrices intermediate between orthogonal and unitary onesCommunications in Mathematical Physics, 1983
- The scaling theory of electrons in disordered solids: Additional numerical resultsZeitschrift für Physik B Condensed Matter, 1983
- One-Parameter Scaling of Localization Length and Conductance in Disordered SystemsPhysical Review Letters, 1981