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Decoherence induced by magnetic impurities in a quantum hall system
Authors:V Kagalovsky  A L Chudnovskiy
Institution:19935. Shamoon College of Engineering, Beer-Sheva, 84100, Israel
39935. Max-Planck-Institut für Physik Komplexer Systeme, Dresden, 01187, Germany
29935. I. Institut für Theoretische Physik, Universitat Hamburg, Hamburg, D-20355, Germany
Abstract:Scattering by magnetic impurities is known to destroy coherence of electron motion in metals and semiconductors. We investigate the decoherence introduced in a single act of electron scattering by a magnetic impurity in a quantum Hall system. For this, we introduce a fictitious nonunitary scattering matrix ></img>                              </span> for electrons that reproduces the exactly calculated scattering probabilities. The strength of decoherence is identified by the deviation of eigenvalues of the product <span class= ></img>                              </span> from unity. Using the fictitious scattering matrix, we estimate the width of the metallic region at the quantum Hall effect inter-plateau transition and its dependence on the exchange coupling strength and the degree of polarization of magnetic impurities.</td>
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