z-logo
open-access-imgOpen Access
Eigenstates and transmission coefficients of finite-sized carbon nanotubes
Author(s) -
Steven Compernolle,
Liviu F. Chibotaru,
Arnout Ceulemans
Publication year - 2003
Publication title -
the journal of chemical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.071
H-Index - 357
eISSN - 1089-7690
pISSN - 0021-9606
DOI - 10.1063/1.1587691
Subject(s) - zigzag , curvature , eigenvalues and eigenvectors , tight binding , transmission coefficient , carbon nanotube , condensed matter physics , fermi level , transmission (telecommunications) , physics , materials science , quantum mechanics , geometry , nanotechnology , electronic structure , mathematics , engineering , electrical engineering , electron
The tight-binding eigenstates of isolated finite-sized zigzag and armchair nanotubes are obtained analytically using the transfer matrix method. Edge states are encountered for zigzag tubes but not for armchair tubes. Inclusion of curvature leads to a decaying-oscillating behavior of the highest occupied and lowest unoccupied molecular orbital gap in armchair tubes as a function of length. For zigzag tubes the inclusion of curvature induces the conversion of an extended state at nonbonding energy to an edge state. In addition the transmission coefficient of zigzag and armchair tubes with featureless leads is analytically obtained. The existence of a transmission peak at the Fermi level that decays exponentially with nanotube length for zigzag tubes is explained. (C) 2003 American Institute of Physics.status: publishe

The content you want is available to Zendy users.

Already have an account? Click here to sign in.
Having issues? You can contact us here
Accelerating Research

Address

John Eccles House
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom