Hidden Symmetries of Electronic Transport in a Disordered One-Dimensional Lattice

Details Hidden Symmetries of Electronic Transport in a Disordered One-Dimensional Lattice Hidden Symmetries of Electronic Transport in a Disordered One-Dimensional Lattice

2006-01-15

arxiv.org/abs/cond-mat/0601323v1

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1103/PhysRevB.73.195109

Correlated, or extended, impurities play an important role in the transport properties of dirty metals. Here, we examine, in the framework of a tight-binding lattice, the transmission of a single electron through an array of correlated impurities. In particular we show that particles transmit through an impurity array in identical fashion, regardless of the direction of transversal. The demonstration of this fact is straightforward in the continuum limit, but requires a detailed proof for the discrete lattice. We also briefly demonstrate and discuss the time evolution of these scattering states, to delineate regions (in time and space) where the aforementioned symmetry is violated.

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