TY - JOUR

T1 - Circular dichroism of single-wall carbon nanotubes

AU - Sato, Naomichi

AU - Tatsumi, Yuki

AU - Saito, Riichiro

N1 - Publisher Copyright:
© 2017 American Physical Society.

PY - 2017/4/21

Y1 - 2017/4/21

N2 - Circular dichroism (CD) of a single-wall carbon nanotube (SWNT) is calculated as a function of the wavelength of light. Because of the symmetry between the K and K′ points in the hexagonal Brillouin zone, the conventional theory for CD intensity gives a zero value in which the absorption probability near the K point for right-handed circular polarized light and that near the K′ point for left-handed circular polarized light cancel each other. Considering the phase differences of the light for carbon atoms of a nanotube, which are beyond so-called dipole approximation, a formulation of CD for a SWNT is presented. Analytic and numerical calculations show (1) the alternating sign of the CD intensity at Eii (i=1,2,3,) van Hove singular energies and (2) opposite sign of the CD values as a function of wavelength of the light for different types and handedness of nanotubes, which reproduce the experimental results. In the metallic SWNTs, we predict the opposite sign of CD values for split Eii+ and Eii-.

AB - Circular dichroism (CD) of a single-wall carbon nanotube (SWNT) is calculated as a function of the wavelength of light. Because of the symmetry between the K and K′ points in the hexagonal Brillouin zone, the conventional theory for CD intensity gives a zero value in which the absorption probability near the K point for right-handed circular polarized light and that near the K′ point for left-handed circular polarized light cancel each other. Considering the phase differences of the light for carbon atoms of a nanotube, which are beyond so-called dipole approximation, a formulation of CD for a SWNT is presented. Analytic and numerical calculations show (1) the alternating sign of the CD intensity at Eii (i=1,2,3,) van Hove singular energies and (2) opposite sign of the CD values as a function of wavelength of the light for different types and handedness of nanotubes, which reproduce the experimental results. In the metallic SWNTs, we predict the opposite sign of CD values for split Eii+ and Eii-.

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U2 - 10.1103/PhysRevB.95.155436

DO - 10.1103/PhysRevB.95.155436

M3 - Article

AN - SCOPUS:85018481934

VL - 95

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 15

M1 - 155436

ER -