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Volumn 81, Issue 15, 2010, Pages

Calculation of optical matrix elements in carbon nanotubes

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EID: 77955379970     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.81.153402     Document Type: Article
Times cited : (16)

References (10)
  • 2
    • 77954743958 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.80.195422
    • A. Zarifi and T. G. Pedersen, Phys. Rev. B 80, 195422 (2009). 10.1103/PhysRevB.80.195422
    • (2009) Phys. Rev. B , vol.80 , pp. 195422
    • Zarifi, A.1    Pedersen, T.G.2
  • 3
    • 29744464925 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.72.195403
    • S. V. Goupalov, Phys. Rev. B 72, 195403 (2005). 10.1103/PhysRevB.72. 195403
    • (2005) Phys. Rev. B , vol.72 , pp. 195403
    • Goupalov, S.V.1
  • 5
    • 77955382101 scopus 로고    scopus 로고
    • In particular, it fails to predict the order of the energy bands.
    • In particular, it fails to predict the order of the energy bands.
  • 6
    • 0013148135 scopus 로고    scopus 로고
    • 10.1103/PhysRevB.66.155404
    • E. L. Ivchenko and B. Z. Spivak, Phys. Rev. B 66, 155404 (2002). 10.1103/PhysRevB.66.155404
    • (2002) Phys. Rev. B , vol.66 , pp. 155404
    • Ivchenko, E.L.1    Spivak, B.Z.2
  • 7
    • 77955362793 scopus 로고    scopus 로고
    • As a consequence of the overlap integral of the tight-binding method being neglected. See Ref..
    • As a consequence of the overlap integral of the tight-binding method being neglected. See Ref..
  • 8
    • 77955406487 scopus 로고    scopus 로고
    • The state with μ=N/2, K2 =0 corresponds to the M point in the reciprocal space of graphene. If the origin in the reciprocal space were moved to this point then the time-reversal operation would relate the electronic states of a carbon nanotube characterized by the opposite two-dimensional k vectors (the electron spin is neglected). For the (4,2) nanotube N=28.
    • The state with μ = N / 2, K 2 = 0 corresponds to the M point in the reciprocal space of graphene. If the origin in the reciprocal space were moved to this point then the time-reversal operation would relate the electronic states of a carbon nanotube characterized by the opposite two-dimensional k vectors (the electron spin is neglected). For the (4,2) nanotube N = 28.
  • 9
    • 77955372985 scopus 로고    scopus 로고
    • As was pointed out in Ref., this is not the case of Fig. 6 in Ref. describing optical transitions in a (10, 10) armchair nanotube.
    • As was pointed out in Ref., this is not the case of Fig. 6 in Ref. describing optical transitions in a (10, 10) armchair nanotube.
  • 10
    • 77955381358 scopus 로고    scopus 로고
    • For μ=11, K2 =π/T one has K1 =11 (5 b1 +4 b2 ) /28, K2 =1/2 (2 b1 -4 b2 ) /28, where b1 and b2 are the reciprocal-lattice vectors of graphene (Ref.). Thus, one has K1 + K2 =2 b1 +3/2 b2, which corresponds to the M point in the reciprocal space of graphene.
    • For μ = 11, K 2 = π / T one has K 1 = 11 (5 b 1 + 4 b 2) / 28, K 2 = 1 / 2 (2 b 1 - 4 b 2) / 28, where b 1 and b 2 are the reciprocal-lattice vectors of graphene (Ref.). Thus, one has K 1 + K 2 = 2 b 1 + 3 / 2 b 2, which corresponds to the M point in the reciprocal space of graphene.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.