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.
F. Dogan et al., "Electron and Spin Transport in the Presence of a Complex Absorbing Potential," Physical Review B, American Physical Society (APS), May 2008.
The definitive version is available at http://dx.doi.org/10.1103/PhysRevB.77.195107
Materials Science and Engineering
Article - Journal
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