Degeneracy carbon nanotubes under transverse magnetic delta-fields

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KURU Ş., Negro J., Tristao S.

JOURNAL OF PHYSICS-CONDENSED MATTER, cilt.27, sa.28, 2015 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 28
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1088/0953-8984/27/28/285501
  • Dergi Adı: JOURNAL OF PHYSICS-CONDENSED MATTER
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: nanotube, massless Dirac-Weyl equation, spectrum degeneracy, supersymmetry
  • Ankara Üniversitesi Adresli: Evet

Özet

The aim of this article was to study the degeneracy of the energy spectrum in a nanotube under a transverse magnetic field. The massless Dirac-Weyl equation has been used to describe the low energy states of this system. The particular case of a singular magnetic field approximated by Dirac delta distributions is considered. It is shown that, under general symmetry conditions, there is a double degeneracy corresponding to periodic solutions with null axial momentum kz = 0. Also, there may be a kind of sporadic degeneracy for non-vanishing values of kz, which are explicitly computed in the present example. The proof of these properties is obtained by means of the supersymmetric structure of the Dirac-Weyl Hamiltonian.