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Transfer‐matrix approach to the problem of electrical conduction through a series of absorbers
Author(s) -
Walczak Kamil
Publication year - 2007
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200642311
Subject(s) - series (stratigraphy) , exponential function , scattering , chain (unit) , transfer matrix , thermal conduction , current (fluid) , matrix (chemical analysis) , phase (matter) , transfer (computing) , transmission (telecommunications) , physics , point (geometry) , molecular wire , condensed matter physics , materials science , mathematical analysis , mathematics , thermodynamics , quantum mechanics , electrical engineering , geometry , computer science , molecule , engineering , paleontology , parallel computing , composite material , computer vision , biology
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 is 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. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)