Relation between the transmission rates and the wave functions in the carbon nanotube junctions

Details Relation between the transmission rates and the wave functions in the carbon nanotube junctions Relation between the transmission rates and the wave functions in the carbon nanotube junctions

1999-03-18

arxiv.org/abs/cond-mat/9903279v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

RevTeX

Scientific paper

10.1103/PhysRevB.61.8548

Electron transmission and wave functions through junctions with a pair of a pentagonal defect and a heptagonal defect connecting two metallic carbon nanotubes are analyzed by the analytical calculation with the effective mass equation. The energy region $|E| < E_c$ is considered where the channel number is kept to two. Close relation between the transmission rate and the wave function is found; the transmission rate is given by the inverse squared absolute value of the wave function. The dependence of the transmission rates on the energy and on the size of the junction is clearly explained by the nature of the wave function. Though the wave function and the transmission rate calculated by the tight binding model agree well with the corresponding analytical results by the effective mass approximation, the discrepancy becomes considerable when $|E| \simeq E_c$. To study the origin of this discrepancy, an efficient numerical calculation method is developed with a generalized transfer matrix for the tight binding model. Their numerical results are compared with the corresponding analytical ones and the results show that the origin of the discrepancy comes from the evanescent waves with the longest decay length in the tube parts.

Affiliated with

Also associated with

No associations

Rating

Relation between the transmission rates and the wave functions in the carbon nanotube junctions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Relation between the transmission rates and the wave functions in the carbon nanotube junctions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relation between the transmission rates and the wave functions in the carbon nanotube junctions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-394764