Crossover from Weak to Strong Localization in Quasi-One-Dimensional Conductors

Gershenson, M. E.; Khavin, Yu. B.; Mikhalchuk, A. G.; Bozler, H. M.; Bogdanov, A. L.

doi:10.1103/physrevlett.79.725

Cited by 64 publications

(62 citation statements)

References 21 publications

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“…In low-mobility GaAs wires, Anderson localization has been observed even in wires with g ≈ 30. 63 Thus, all mesoscopic energy scales can become relevant when the system reaches temperatures of the order of 1 K. However, so far no magnetic impurities with detectable Kondo temperatures have been found in semiconductors, since the low density of states suppresses the Kondo temperature exponentially.…”

Section: Dephasing Due To Free Magnetic Moments In Disordered Mmentioning

confidence: 99%

Disorder-quenched Kondo effect in mesoscopic electronic systems

Kettemann

Mucciolo

2007

Phys. Rev. B

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Nonmagnetic disorder is shown to quench the screening of magnetic moments in metals, the Kondo effect. The probability that a magnetic moment remains free down to zero temperature is found to increase with disorder strength. Experimental consequences for disordered metals are studied. In particular, it is shown that the presence of magnetic impurities with a small Kondo temperature enhances the electron's dephasing rate at low temperatures in comparison to the clean metal case. It is furthermore proven that the width of the distribution of Kondo temperatures remains finite in the thermodynamic (infinite volume) limit due to wave function correlations within an energy interval of order 1/τ , where τ is the elastic scattering time. When time-reversal symmetry is broken either by applying a magnetic field or by increasing the concentration of magnetic impurities, the distribution of Kondo temperatures becomes narrower.

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Section: Dephasing Due To Free Magnetic Moments In Disordered Mmentioning

confidence: 99%

Disorder-quenched Kondo effect in mesoscopic electronic systems

Kettemann

Mucciolo

2007

Phys. Rev. B

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“…The crossover temperature in metals is out of the experimental range, however it becomes reachable in wires etched at the interface of two semiconducting materials, when the number of conducting channels is highly reduced, and the manifestation of the strong localization has been observed in ref. [109].…”

Section: Weak and Strong Localizationmentioning

confidence: 99%

Functionals of Brownian motion, localization and metric graphs

Comtet¹,

Desbois²,

Texier³

2005

J. Phys. A: Math. Gen.

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We review several results related to the problem of a quantum particle in a random environment.In an introductory part, we recall how several functionals of the Brownian motion arise in the study of electronic transport in weakly disordered metals (weak localization).Two aspects of the physics of the one-dimensional strong localization are reviewed : some properties of the scattering by a random potential (time delay distribution) and a study of the spectrum of a random potential on a bounded domain (the extreme value statistics of the eigenvalues).Then we mention several results concerning the diffusion on graphs, and more generally the spectral properties of the Schrödinger operator on graphs. The interest of spectral determinants as generating functions characterizing the diffusion on graphs is illustrated.Finally, we consider a two-dimensional model of a charged particle coupled to the random magnetic field due to magnetic vortices. We recall the connection between spectral properties of this model and winding functionals of the planar Brownian motion.

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