Journal
ANNALS OF PHYSICS
Volume 326, Issue 6, Pages 1457-1478Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2011.01.005
Keywords
Anderson transitions; Quantum Hall effect; Dephasing; Multifractality
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Funding
- RFBR [09-02-12206, 09-02-00247]
- Council for grants of the Russian President [MK-125.2009.2]
- RAS
- Russian Ministry of Education and Science [P926]
- Center for Functional Nanostructures of the Deutsche Forschungsgemeinschaft
- DFG
- DFG-RFBR
- EUROHORCS/ESF EURYI
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We analyze the critical behavior of the dephasing rate induced by short-range electron-electron interaction near an Anderson transition of metal-insulator or quantum Hall type. The corresponding exponent characterizes the scaling of the transition width with temperature. Assuming no spin degeneracy, the critical behavior can be studied by performing the scaling analysis in the vicinity of the non-interacting fixed point, since the latter is stable with respect to the interaction. We combine an analytical treatment (that includes the identification of operators responsible for dephasing in the formalism of the non-linear sigma-model and the corresponding renormalization-group analysis in 2 + epsilon dimensions) with numerical simulations on the Chalker-Coddington network model of the quantum Hall transition. Finally, we discuss the current understanding of the Coulomb interaction case and the available experimental data. (C) 2011 Elsevier Inc. All rights reserved.
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