The aim of this report is to investigate electronic properties of a chain of atoms when its translational symmetry is broken by a topological disorder. The study uses the inverse participant ratio to obtain information on the localization of electrons in phase space.
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The diffusive motion of quasi-two-dimensional electron gas through an ultra-thin system of disordered potentials is considered. In such system the Fermi sphere splits into a set of independent sheets due to the small thickness of the system. Each sheet can be seen as an electron sub-band. The electron transport goes through these sub-bands independently. The sum of electrical conductivities over these sub-bands determines the total current which is calculated for ultra-thin films of cesium. We also present the relation between our approach and Landauer formalism based on the notation of the transmission coefficient.
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Electron transport in the plane of a monoatomic metallic layer with non-zero magnetization is considered. The material is represented by a two-dimensional set of disordered potentials which also possess spins aligned along one axis but not necessarily oriented in one direction. Such a system can be treated as a two-component alloy. The effective cross-section for conduction electrons has been calculated. The total conductivity is obtained within two-current model.
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