Phys. Rev. B 60, 13874 - 13878 (1999)

Band-gap change of carbon nanotubes: Effect of small uniaxial and torsional strain

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Liu Yang
Thermosciences Institute, NASA Ames Research Center, Mail Stop 230-3, Moffett Field, California 94035-1000

M. P. Anantram *, Jie Han, and J. P. Lu
NASA Ames Research Center, Mail Stop T27A-1, Moffett Field, California 94035-1000

Received 15 December 1998; revised 11 August 1999

We use a simple picture based on the π electron approximation to study the band-gap variation of carbon nanotubes with uniaxial and torsional strain. We find (i) that the magnitude of slope of band gap versus strain has an almost universal behavior that depends on the chiral angle, (ii) that the sign of slope depends on the value of (n-m) mod 3, and (iii) a novel change in sign of the slope of band gap versus uniaxial strain arising from a change in the value of the quantum number corresponding to the minimum band gap. Four orbital calculations are also presented to show that the π orbital results are valid.


©1999 The American Physical Society

URL: http://link.aps.org/abstract/PRB/v60/p13874
DOI: 10.1103/PhysRevB.60.13874
PACS: 85.65.+h, 77.65.-j, 71.20.Tx, 83.85.Gh

* Author to whom correspondence should be addressed. Electronic address: anant@nas.nasa.gov
Permanent address: CB 3255 Phillips Hall, University of North Carolina–Chapel Hill, Chapel Hill, NC 27599.

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