Quantum numbers and band topology of nanotubes

Maultzsch J (2003)


Publication Status: Published

Publication Type: Journal article

Publication year: 2003

Journal

Publisher: IOP PUBLISHING LTD

Book Volume: 36

Pages Range: 5707-5717

Article Number: PII S0305-4470(03)58579-1

Journal Issue: 21

Abstract

Nanotubes as well as polymers and quasi-ID subsystems of 3D crystals have line group symmetry. This allows two types of quantum numbers: roto-translational and helical. The roto-translational quantum numbers are linear and total angular (not conserved) momenta, while the helical quantum numbers are helical and complementary angular momenta. Their mutual relations determine some topological properties of energy bands, such as systematic band sticking or van Hove singularities related to parities. The importance of these conclusions is illustrated by the optical absorption in carbon nanotubes: parity may prevent absorption peaks at van Hove singularities.

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How to cite

APA:

Maultzsch, J. (2003). Quantum numbers and band topology of nanotubes. Journal of Physics A: Mathematical and General, 36(21), 5707-5717.

MLA:

Maultzsch, Janina. "Quantum numbers and band topology of nanotubes." Journal of Physics A: Mathematical and General 36.21 (2003): 5707-5717.

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