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33646651709
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note
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The ab initio calculations have been performed with the code ABINIT abinit1, abinit2. The wave functions of the valence electrons are expanded in plane waves with an energy cutoff at 50 Ry. The core electrons are simulated by Troullier-Martins pseudopotentials. A supercell geometry is employed with a large intertube distance (10 a.u.) in order to minimize the overlap of wave functions of neighboring tubes. The density is calculated self-consistently using a sampling of eight k points for the (quasi-one-dimensional) first Brillouin zone of the tubes. A non-self-consistent calculation yields the energies of occupied and unoccupied states on a grid of 50 k points.
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25
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0036827661
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X. Gonze, J.-M. Beuken, R. Caracas, F. Detraux, M. Fuchs, G.-M. Rignanese, L. Sindic, M. Verstraete, G. Zerah, F. Jollet, M. Torrent, A. Roy, M. Mikami, Ph. Ghosez, J.-Y. Raty, and D. C. Allan, Comput. Mater. Sci. 25, 478 (2002).
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Verstraete, M.8
Zerah, G.9
Jollet, F.10
Torrent, M.11
Roy, A.12
Mikami, M.13
Ghosez, Ph.14
Raty, J.-Y.15
Allan, D.C.16
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26
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33646641988
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The ABINIT code is a common project of the Université Catholique de Louvain, Corning Incorporated, and other contributors (URL http://www.abinit.org).
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77952790159
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edited by H. Kuzmany, J. Fink, M. Mehring, and S. Roth, AIP Conf. Proc. No. 685 (AIP, New York)
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0000690047
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29
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33646648737
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note
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3(3,3) tube because it has a sufficiently large diameter such that the DOS around the band gap is already converged while it is still small enough for the ab initio calculation of band structure and optical absorption.
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30
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33646660186
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note
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The calculation of the optical spectrum has been performed with the code SELF written by A. Marini. We use the random-phase approximation (RPA). The light is polarized along the tube axis. (The first absorption peak for vertically polarized light is at 2.1 eV).
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note
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3 nanotubes in this energy range could complicate the analysis. However, since the absorption peaks below about 2 eV are only optically allowed by symmetry breaking the sheer number of optically allowed transitions only contributes to the broad background and not to the individual SWCNT derived absorption peaks.
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