TY - JOUR
T1 - A Landau mode in current-carrying carbon nanotube and effects on electrical breakdown
AU - Matsunaga, Yasushi
AU - Kato, Tomokazu
AU - Hatori, Tadatsugu
N1 - Funding Information:
This work is supported by a Grant-in-Aid for the 21st COE Program (Physics of Self-Organization Systems) at Waseda University and a Grant-in-Aid for Scientific Research from MEXT.
PY - 2008
Y1 - 2008
N2 - On the basis of the Landau quantization, the bound state is discussed, which includes the finite length effect, induced magnetic field, and electric field in a current-carrying nanotube. Using a slab model and evaluating the matching of the wave function in the radial direction, the authors obtained the conditions of a Landau mode in which the momentum in the axial direction is reversed in the outer side and inner side of the nanotube shell. The mode arises over a threshold electric current, influences more long tubes than short tubes, and does not contribute to the net electric current. The authors compared the theoretical results to the experimental data, estimating the minimum voltage condition, the relations between the tube length and the current for the obtained Landau mode, and the tube length and current data in the experiments. It is plausible that the Landau mode plays an important role in the eventual electrical breakdown and the thinning phenomena. The wave function broadly spreading in the outer side in the radial direction activates the air and triggers the destruction of atomic bonds. Another factor influencing the electrical breakdown phenomena was found.
AB - On the basis of the Landau quantization, the bound state is discussed, which includes the finite length effect, induced magnetic field, and electric field in a current-carrying nanotube. Using a slab model and evaluating the matching of the wave function in the radial direction, the authors obtained the conditions of a Landau mode in which the momentum in the axial direction is reversed in the outer side and inner side of the nanotube shell. The mode arises over a threshold electric current, influences more long tubes than short tubes, and does not contribute to the net electric current. The authors compared the theoretical results to the experimental data, estimating the minimum voltage condition, the relations between the tube length and the current for the obtained Landau mode, and the tube length and current data in the experiments. It is plausible that the Landau mode plays an important role in the eventual electrical breakdown and the thinning phenomena. The wave function broadly spreading in the outer side in the radial direction activates the air and triggers the destruction of atomic bonds. Another factor influencing the electrical breakdown phenomena was found.
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U2 - 10.1063/1.2924330
DO - 10.1063/1.2924330
M3 - Article
AN - SCOPUS:44649143166
SN - 0021-8979
VL - 103
JO - Journal of Applied Physics
JF - Journal of Applied Physics
IS - 10
M1 - 104301
ER -