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Type: Journal article
Title: Geometric influence on Ruderman-Kittel-Kasuya-Yosida interactions in zigzag carbon nanotubes
Author: Bunder, J.
Hill, J.
Citation: Journal of Chemical Physics, 2012; 136(15):154504-1-154504-6
Publisher: Amer Inst Physics
Issue Date: 2012
ISSN: 0021-9606
Statement of
J. E. Bunder and James M. Hill
Abstract: We derive an analytic description of the spin susceptibility in finite length zigzag carbon nanotubes (CNT) with chirality (n, 0). The spin susceptibility is proportional to the Ruderman-Kittel-Kasuya-Yosida (RKKY) interactions which describes indirect carrier mediated exchange coupling between localized magnetic moments. We show that the strongest RKKY interactions are along the edges of the nanotube and in the thermodynamic limit at half filling with spin symmetry the shape of the susceptibility curve about the edge of the CNT can be determined solely by the lattice geometry represented by the parameter n and a parameter L which describes the nanotube length. We also show that the introduction of Zeeman splitting or doping may have no effect on the spin susceptibility, provided n is small. A detailed knowledge of magnetic interactions, such as RKKY interactions, in CNT is of vital importance to the development of nanotechnology applications.
Keywords: carbon nanotubes
magnetic moments
magnetic susceptibility
RKKY interaction
spin systems
Zeeman effect
Rights: © 2012 American Institute of Physics
DOI: 10.1063/1.4704677
Appears in Collections:Aurora harvest
Mathematical Sciences publications

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