Localization Length in Anderson Insulator with Kondo Impurities

Abstract

The localization length, $\xi$, in a 2--dimensional Anderson insulator depends on the electron spin scattering rate by magnetic impurities, ${\tau }_s^{-1}$. For antiferromagnetic sign of the exchange, %constant, the time ${\tau }_s$ is {\em itself a function of $\xi$}, due to the Kondo correlations. We demonstrate that the unitary regime of localization is impossible when the concentration of magnetic impurities, $n_M$, is smaller than a critical value, $n_c$. For $n_M>n_c$, the dependence of $\xi$ on the dimensionless conductance, $g$, is {\em reentrant}, crossing over to unitary, and back to orthogonal behavior upon increasing $g$. Sensitivity of Kondo correlations to a weak {\em parallel} magnetic field results in a giant parallel magnetoresistance.

5 pages, 1 figure

References in corpus (2)

• Nonequilibrium Electron Distribution in Presence of Kondo Impurities
• Magnetic field effects in energy relaxation mediated by Kondo impurities

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• Free Magnetic Moments in Disordered Metals
• Bulk-boundary correspondence in disordered higher-order topological insulators
• Conductance distribution in 3D Anderson insulators: deviation from log-normal form
• Towards a Comprehensive Theory of Metal-Insulator Transitions in Doped Semiconductors
• Anderson Metal-Insulator Transitions With Classical Magnetic Impurities
• Magnetic Quantum Phase Diagram of Magnetic Impurities in 2 Dimensional Disordered Electron Systems