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      Nonlinear dynamics and band transport in a superlattice driven by a plane wave

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          Abstract

          A quantum particle transport induced in a spatially-periodic potential by a propagating plane wave has a number important implications in a range of topical physical systems. Examples include acoustically driven semiconductor superlattices and cold atoms in optical crystal. Here we apply kinetic description of the directed transport in a superlattice beyond standard linear approximation, and utilize exact path-integral solutions of the semiclassical transport equation. We show that the particle drift and average velocities have non-monotonic dependence on the wave amplitude with several prominent extrema. Such nontrivial kinetic behaviour is related to global bifurcations developing with an increase of the wave amplitude. They cause dramatic transformations of the system phase space and lead to changes of the transport regime. We describe different types of phase trajectories contributing to the directed transport and analyse their spectral content.

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          Observation of Bloch oscillations in a semiconductor superlattice

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            Semiconductor Superlattices: A model system for nonlinear transport

            Electric transport in semiconductor superlattices is dominated by pronounced negative differential conductivity. In this report the standard transport theories for superlattices, i.e. miniband conduction, Wannier-Stark-hopping, and sequential tunneling, are reviewed in detail. Their relation to each other is clarified by a comparison with a quantum transport model based on nonequilibrium Green functions. It is demonstrated how the occurrence of negative differential conductivity causes inhomogeneous electric field distributions, yielding either a characteristic sawtooth shape of the current-voltage characteristic or self-sustained current oscillations. An additional ac-voltage in the THz range is included in the theory as well. The results display absolute negative conductance, photon-assisted tunneling, the possibility of gain, and a negative tunneling capacitance.
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              Application of catastrophe theory to molecules and solitons

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                Author and article information

                Journal
                2017-02-28
                Article
                1702.08737
                72d0536a-77db-4a76-a421-8c474eb86469

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                cond-mat.mes-hall nlin.CD

                Nanophysics,Nonlinear & Complex systems
                Nanophysics, Nonlinear & Complex systems

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