Analytical formula for calculating transmission coefficient of one-dimensional molecules with single impurity

Tuning the conductance of carbon rings with impurities and electric fields

“…Previous studies of these coupled structures show that a single-electron model can explain several interesting transport properties, such as the appearance of antiresonances in the conduction spectrum. 11,[22][23][24] In addition, such simplication allows for obtaining analytical expressions for several relevant physical quantities, providing a better insight on the origin of the changes induced by the perturbations.…”

Transport signatures of few-atom carbon rings

“…Previous works [13][14][15] indicate that a theory based on the single-electron picture can explain many interesting results in the electronic transport, such as the appearance of antiresonances. Such simplification of the model is also done in order to carry out an analytical treatment.…”

Transmission of a single impurity system: a comprehensive pedagogical tutorial

“…where e is the electron charge, h is Planck's constant, E is the energy, and f (E) is the Fermi-Dirac distribution function. Furthermore, molecular electronics shows how the conductance may change with variables such as molecular length [6,7], doping [8,9], the strength of interaction between the molecule and external leads [10,11]. Thus, preceding such a sophisticated discipline with an example that includes chemistry, physics, mathematics, and programming would be a useful task; this identified type of problem is considered so elementary that very few scientists have adequately presented it [12,13].…”