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Photonic crystals in biology

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Poster Session, Tuesday, June 15<br />

Theme A1 - B702<br />

Electronic Structure of S<strong>in</strong>gle Wall Carbon Nanot ubes With Vacancy Defect<br />

Gülay Dereli 1 *, 1 , Necati Vardar 1<br />

1 Department of Physics, Yildiz Technical University, 34210, Turkey<br />

Abstract-Electronic structure of (12,0) and (14,0) s<strong>in</strong>gle wall carbon nanotubes (SWCNT) with vacancy defect are studied us<strong>in</strong>g Order (N) Tight<br />

B<strong>in</strong>d<strong>in</strong>g Molecular Dynamics simulation method (O(N) TBMD) [1-3]. We have obta<strong>in</strong>ed the total energy per atom and Fermi energy levels of<br />

(12,0) and (14,0) SWCNTs with vacancy defect. The effect of vacancy defects on the electronic band gap is <strong>in</strong>vestigated <strong>in</strong> real space. Change of<br />

the electronic band gap values are discussed.<br />

An important property of carbon nanotubes is that SWCNT<br />

can be either metallic or semiconduct<strong>in</strong>g depend<strong>in</strong>g on the<br />

geometrical structure. Geometrical structure of SWCNT is<br />

given by the chiral vector ( ). The armchair<br />

SWCNTs ( ) are metallic, and the zigzag SWCNTS<br />

( ) are only metallic when n is a mu ltiple of 3.<br />

SWCNTs may have various k<strong>in</strong>ds of defects such as vacancy,<br />

either dur<strong>in</strong>g their growth or when they are part of an<br />

electronic circuit. Defects may <strong>in</strong>fluence the physical<br />

properties of SWCNTs. Theoretical calculations have shown<br />

that vacancy defects <strong>in</strong> SWCNTs can substantially modify their<br />

electronic properties [4-12].<br />

In this study, energetic and electronic structures of (12,0) and<br />

(14,0) SWCNTs with multi-vacancy defects are studied us<strong>in</strong>g<br />

order (N) tight b<strong>in</strong>d<strong>in</strong>g molecular dynamic (O(N) TBMD)<br />

simulation code designed by Dereli et al [1-3] and applied to<br />

nanotube simulations successfully [13-16]. We simulated<br />

(12,0) metallic and (14,0) semiconduct<strong>in</strong>g SWCNTs with multi<br />

vacancy defect . We calculated the total energy per atom and<br />

the Fermi energy levels dur<strong>in</strong>g the simulation .<br />

(a)<br />

eDOS<br />

1,0<br />

nvac=0<br />

(12,0)<br />

0,8<br />

0,6<br />

0,4<br />

0,2<br />

0,0<br />

-2,0 -1,5 -1,0 -0,5 0,0 0,5 1,0 1,5 2,0<br />

1,0<br />

0,8<br />

0,6<br />

0,4<br />

0,2<br />

0,0<br />

-2,0 -1,5 -1,0 -0,5 0,0 0,5 1,0 1,5 2,0<br />

1,0<br />

0,8<br />

0,6<br />

0,4<br />

0,2<br />

nvac=0+1<br />

nvac=0+2<br />

0,0<br />

-2,0 -1,5 -1,0 -0,5 0,0 0,5 1,0 1,5 2,0<br />

Energy (eV)<br />

DOS<br />

1,0<br />

0,8<br />

0,6<br />

0,4<br />

0,2<br />

0,0<br />

-2,0 -1,5 -1,0 -0,5 0,0 0,5 1,0 1,5 2,0<br />

1,0<br />

0,8<br />

0,6<br />

0,4<br />

0,2<br />

0,0<br />

-2,0 -1,5 -1,0 -0,5 0,0 0,5 1,0 1,5 2,0<br />

1,0<br />

0,8<br />

0,6<br />

0,4<br />

0,2<br />

nvac=0 (14,0)<br />

nvac=1<br />

nvac=4<br />

0,0<br />

-2,0 -1,5 -1,0 -0,5 0,0 0,5 1,0 1,5 2,0<br />

Energy (eV)<br />

Figure 2. Electronic density of states of (12,0) and (14,0) SWCNTs<br />

with vacancies.<br />

Our studies have shown that the vacancy defects can<br />

effectively change the energetics and hence the electronic<br />

structure of SWCNTs.<br />

The research reported here is supported through the Yildiz<br />

Technical University Research Fund Project No: 24-01-01-04.<br />

The simulations are performed at the Carbon Nanotubes<br />

Simulation Laboratory at the Department of Physics, Yildiz<br />

Technical University, Istanbul, Turkey.<br />

*Correspond<strong>in</strong>g author: gdereli@yildiz.edu.tr<br />

(b)<br />

Figure 1. a) (12,0) b) (14,0) SWCNTs with vacancy defect<br />

We showed that the total energy values <strong>in</strong>crease with the<br />

number of vacancies and the Fermi energy levels decrease.<br />

The effects of multi vacancy defects on the electronic band gap<br />

are given <strong>in</strong> figure2. Band gap is obta<strong>in</strong>ed <strong>in</strong> real space through<br />

the behavior of electronic density of states (eDOS) near the<br />

Fermi level . The band gap of (12,0) SWCNT <strong>in</strong>creases from<br />

0.01 eV (perfect CNT) to 0.07eV for one vacancy and 0.13<br />

eV for two vacancies. For (14,0) SWCNT, band gap rapidly<br />

decreases from 0.55eV to 0.09 eV for one vacancy and<br />

semiconductor-metal transition occurs.<br />

148,<br />

188 (2002).<br />

[2] G. Dereli and C. Özdogan, Phys. Rev. B 67, 035416 (2003).<br />

[3] G. Dereli and C. Özdogan, Phys. Rev. B 67, 035415 (2003).<br />

[4] L. Chico, L. X. Benedict, S. G. Louie, and M. L. Cohen, Phys.<br />

Rev. B 54, 2600 (1996)<br />

[5] A. J. Lu and B. C. Pan, Phys. Rev. Lett. 92,10,105504 (2004).<br />

[6] L-G Tien, C-H,T F-Y Li, and M-H Lee, Phys. Rev. B 72, 245417<br />

(2005).<br />

[7] W. Orellana , P. Fuentealba, Surface Science 600, 4305–4309<br />

(2006).<br />

[8] Seun g-Hoon Jhi, Carbon 45, 2031–2036 (2007).<br />

[9] Susumu Okada, Chemical Physics Letters 447, 263–267 (2007) .<br />

[10] H. Ishii, N. Kobayashi, K. Hirose, Surface Science 601, 5266–<br />

5269 (2007).<br />

[11] A. R. Rocha, J. E. Padilha, A. Fazzio, and A. J. R. da Silva, Phys.<br />

Rev. B 77, 153406 (2008).<br />

[12] S. Berber and A. Oshiyama, Phys. Rev. B 77, 165405 (2008).<br />

[13] G. Dereli and B. Süngü, Phys. Rev. B 75, 184104 (2007).<br />

[14] G. Dereli, B. Süngü and C. Özdogan, Nanotechnology 18, 24570<br />

(2007).<br />

[15<br />

201T , 075707 ( 2009)<br />

[16<br />

181023 , 171 (2010).<br />

6th Nanoscience and Nanotechnology Conference, zmir, 2010 401

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