Electron and Spin Transport in the Presence of Complex Absorbing Potential

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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to be published in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.77.195107

We examine the impact of a complex absorbing potential on electron transport, both in the continuum and on a lattice. This requires the use of non-Hermitian Hamiltonians; the required formalism is briefly outlined. The lattice formulation allows us to study the interesting problem of an electron interacting with a stationary spin, and the subsequent time evolution of the electron and spin properties as the electron is absorbed after the initial interaction. Remarkably, the properties of the localized spin are affected 'at-a-distance' by the interaction of the (now entangled) electron with a complex potential.

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