Universal flow diagram for the magnetoconductance in disordered GaAs layers

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

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10 pages, 5 figures, submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevB.66.233314

The temperature driven flow lines of the diagonal and Hall magnetoconductance data (G_{xx},G_{xy}) are studied in heavily Si-doped, disordered GaAs layers with different thicknesses. The flow lines are quantitatively well described by a recent universal scaling theory developed for the case of duality symmetry. The separatrix G_{xy}=1 (in units e^2/h) separates an insulating state from a spin-degenerate quantum Hall effect (QHE) state. The merging into the insulator or the QHE state at low temperatures happens along a semicircle separatrix G_{xx}^2+(G_{xy}-1)^2=1 which is divided by an unstable fixed point at (G_{xx},G_{xy})=(1,1).

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