Impurity Scattering of Wave Packets on a Lattice

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.74.205120

Quantum transport in a lattice is distinct from its counterpart in continuum media. Even a free wave packet travels differently in a lattice than in the continuum. We describe quantum scattering in a one dimensional lattice using three different formulations and illustrate characteristics of quantum transport such as resonant transmission. We demonstrate the real time propagation of a wave packet and its phase shift due to impurity configurations. Spin-flip scattering is also taken into account in a spin chain system. We show how individual spins in the chain evolve as a result of a spin-flip interaction between an incoming electron and a spin chain.

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