Bandgap Change of Carbon Nanotubes: Effect of Small Tensile and Torsional Strain

Details Bandgap Change of Carbon Nanotubes: Effect of Small Tensile and Torsional Strain Bandgap Change of Carbon Nanotubes: Effect of Small Tensile and Torsional Strain

1998-11-18

arxiv.org/abs/cond-mat/9811263v4

Physical Review B, vol. 60, p. 13874 (1999)

Physics

Condensed Matter

Revised. Method explained in detail

Scientific paper

10.1103/PhysRevB.60.13874

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

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