Diagrammatic Approach for the High-Temperature Regime of Quantum Hall Transitions.
Résumé
We develop 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 is used 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 $\sigma_{xx}$.
Origine : Fichiers produits par l'(les) auteur(s)