Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-11-16
Annals Phys.326:1457-1478,2011
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
33 pages, 7 figures, elsart style
Scientific paper
10.1016/j.aop.2011.01.005
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.
Bera Supriya
Burmistrov Igor S.
Evers Ferdinand
Gornyi Igor V.
Mirlin Alexander D.
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