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

Kamil Walczak
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Abstract

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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Kamil Walczak. 2006-04-10. Transfer-matrix approach to the problem of electrical conduction through a series of absorbers. https://doi.org/10.1002/pssb.200642311

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