Theory of Rayleigh scattering from metallic carbon nanotubes

被引：23

作者：

Malic, Ermin ^{[1
]}

Hirtschulz, Matthias ^{[1
]}

Milde, Frank ^{[1
]}

Wu, Yang ^{[2
,3
]}

Maultzsch, Janina ^{[2
,3
]}

Heinz, Tony F. ^{[2
,3
]}

Knorr, Andreas ^{[1
]}

Reich, Stephanie ^{[4
]}

机构：

[1] Tech Univ Berlin, Inst Theoret Phys Nichtlineare Opt & Quantenelekt, D-10623 Berlin, Germany

[2] Columbia Univ, Dept Phys, New York, NY 10027 USA

[3] Columbia Univ, Dept Elect Engn, New York, NY 10027 USA

[4] Free Univ Berlin, Fachbereich Phys, D-14195 Berlin, Germany

来源：

PHYSICAL REVIEW B | 2008年 / 77卷 / 04期

关键词：

D O I：

10.1103/PhysRevB.77.045432

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We present a microscopic calculation of the Rayleigh (elastic light) scattering spectra for single-walled carbon nanotubes. Combining density-matrix formalism and the tight-binding model, we obtain results for nanotubes of arbitrary chiral index. In agreement with experiment, the calculated Rayleigh spectra of metallic nanotubes show a double-peaked structure resulting from the trigonal warping effect, with the low-energy feature exhibiting greater intensity. We explain the intensity ratios by the wave-vector dependence of the optical matrix elements. Also in accord with experiment, the Rayleigh line shape of each peak is asymmetric, with an enhanced cross section for lower photon energies. This behavior arises from contributions of the nonresonant optical susceptibility to the Rayleigh scattering process.

引用

页数：5

共 28 条

[1] Structure-assigned optical spectra of single-walled carbon nanotubes [J].

Bachilo, SM ;

Strano, MS ;

Kittrell, C ;

Hauge, RH ;

Smalley, RE ;

Weisman, RB .

SCIENCE, 2002, 298 (5602) :2361-2366

[2]

Bohren C. F., 1983, ABSORPTION SCATTERIN

[3] Diameter and chirality dependence of exciton properties in carbon nanotubes [J].

Capaz, Rodrigo B. ;

Spataru, Catalin D. ;

Ismail-Beigi, Sohrab ;

Louie, Steven G. .

PHYSICAL REVIEW B, 2006, 74 (12)

[4] Optical transition energies for carbon nanotubes from resonant Raman spectroscopy: Environment and temperature effects [J].

Fantini, C ;

Jorio, A ;

Souza, M ;

Strano, MS ;

Dresselhaus, MS ;

Pimenta, MA .

PHYSICAL REVIEW LETTERS, 2004, 93 (14) :147406-1

[5] Optical transitions in carbon nanotubes [J].

Goupalov, SV .

PHYSICAL REVIEW B, 2005, 72 (19)

[6] Inhomogeneous optical absorption around the K point in graphite and carbon nanotubes -: art. no. 165402 [J].

Grüneis, A ;

Saito, R ;

Samsonidze, GG ;

Kimura, T ;

Pimenta, MA ;

Jorio, A ;

Souza, AG ;

Dresselhaus, G ;

Dresselhaus, MS .

PHYSICAL REVIEW B, 2003, 67 (16)

[7]

Haug H, 2009, Quantum Theory of the Optical and Electronic Properties of Semiconductors, V5th

[8] Carbon nanotube Bloch equations: A many-body approach to nonlinear and ultrafast optical properties [J].

Hirtschulz, Matthias ;

Milde, Frank ;

Malic, Ermin ;

Butscher, Stefan ;

Thomsen, Christian ;

Reich, Stephanie ;

Knorr, Andreas .

PHYSICAL REVIEW B, 2008, 77 (03)

[9] Chirality dependence of exciton effects in single-wall carbon nanotubes: Tight-binding model [J].

Jiang, J. ;

Saito, R. ;

Samsonidze, Ge. G. ;

Jorio, A. ;

Chou, S. G. ;

Dresselhaus, G. ;

Dresselhaus, M. S. .

PHYSICAL REVIEW B, 2007, 75 (03)

[10] Analytical approach to optical absorption in carbon nanotubes [J].

Malic, Ermin ;

Hirtschulz, Matthias ;

Milde, Frank ;

Knorr, Andreas ;

Reich, Stephanie .

PHYSICAL REVIEW B, 2006, 74 (19)

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