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The lifetime of electrons on edge states of a two-dimensional topologicalinsulator against the background of an allowed two-dimensional band has beendetermined. It has been shown that this time in the case of scattering onCoulomb impurities can be significantly larger than the mean free time oftwo-dimensional electrons. As a result, the conductivity of the metallictwo-dimensional topological insulator strip can be determined primarily by edgestates.

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Scattering of Electrons between Edge and Two-Dimensional States of a  Two-Dimensional Topological Insulator and the Conductivity of the Topological  Insulator Strip in a Metallic State