Diagrammatic Approach for the High-Temperature Regime of Quantum Hall Transitions

Details Diagrammatic Approach for the High-Temperature Regime of Quantum Hall Transitions Diagrammatic Approach for the High-Temperature Regime of Quantum Hall Transitions

2011-07-21

arxiv.org/abs/1107.4292v3

Phys. Rev. Lett. 107, 176806 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4+epsilon pages, 5 figures, attached with Supplementary Material. A discussion and a plot of the temperature-dependent longitu

Scientific paper

10.1103/PhysRevLett.107.176806

We use a general diagrammatic formalism based on a local conductivity approach to compute electronic transport in continuous media with long-range disorder, in the absence of quantum interference effects. The method allows us then to investigate the interplay of dissipative processes and random drifting of electronic trajectories in the high-temperature regime of quantum Hall transitions. We obtain that the longitudinal conductance \sigma_{xx} scales with an exponent {\kappa}=0.767\pm0.002 in agreement with the value {\kappa}=10/13 conjectured from analogies to classical percolation. We also derive a microscopic expression for the temperature-dependent peak value of \sigma_{xx}, useful to extract {\kappa} from experiments.

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