Diameter Dependence of the Dielectric Constant for the Excitonic Transition Energy of Single-Wall Carbon Nanotubes

被引：47

作者：

Araujo, P. T. ^{[1
]}

Jorio, A. ^{[1
,2
]}

Dresselhaus, M. S. ^{[3
,4
]}

Sato, K. ^{[5
]}

Saito, R. ^{[5
]}

机构：

[1] Univ Fed Minas Gerais, Dept Fis, BR-30123970 Belo Horizonte, MG, Brazil

[2] Inst Nacl Metrol Normalizacao & Qualidade Ind, Div Mat Metrol, BR-25250020 Duque De Caxias, RJ, Brazil

[3] MIT, Dept Phys, Cambridge, MA 02139 USA

[4] MIT, Dept Elect Engn & Comp Sci, Cambridge, MA 02139 USA

[5] Tohoku Univ, Dept Phys, Sendai, Miyagi 9808578, Japan

来源：

PHYSICAL REVIEW LETTERS | 2009年 / 103卷 / 14期

关键词：

EXCITATION;

D O I：

10.1103/PhysRevLett.103.146802

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The measured optical transition energies E(ii) of single-wall carbon nanotubes are compared with bright exciton energy calculations. The E(ii) differences between experiment and theory are minimized by considering a diameter-dependent dielectric constant kappa, which comprises the screening from the tube and from the environment. Different kappa dependencies are obtained for (E(11)(S), E(22)(S), E(11)(M)) relative to (E(33)(S), E(44)(S)). A changing environment changes the kappa diameter dependence for (E(11)(S), E(22)(S), E(11)(M)), but for (E(33)(S), E(44)(S)) the environmental effects are minimal. The resulting calculated exciton energies reproduce experimental E(ii) values within +/- 70 meV for a diameter range (0.7 < d(t)< 3.8 nm) and 1.2 < E(ii)< 2.7 eV, thus providing a theoretical justification for E(ii), environmental effects and important insights on the dielectric screening in one-dimensional structures.

引用

页数：4

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