Transfer-matrix approach to the problem of electrical conduction through a series of absorbers

Details Transfer-matrix approach to the problem of electrical conduction through a series of absorbers Transfer-matrix approach to the problem of electrical conduction through a series of absorbers

2006-04-10

arxiv.org/abs/cond-mat/0604246v1

Phys. Stat. Sol. (b) 244, pp. 1088-1094 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 5 figures

Scientific paper

Here we study incoherent transport through molecular wire treated as a linear chain of absorbers, where the phase-breaking processes are modeled by the use of imaginary point-like potentials. The calculations are performed within a transfer-matrix method of the scattering theory. An analytic expression for the transmission of a finite chain in obtained, while the electrical current is then computed with the help of the Tsu-Esaki formula. In particular, it is shown that the maximal current dependence on the wire length is exponential.

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