Spin Excitation in Nano-Graphite Ribbons with Zigzag Edges

Details Spin Excitation in Nano-Graphite Ribbons with Zigzag Edges Spin Excitation in Nano-Graphite Ribbons with Zigzag Edges

2003-06-05

arxiv.org/abs/cond-mat/0306111v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures, submitted to J. Phys. Soc. Jpn

Scientific paper

10.1143/JPSJ.72.2145

Spin excitation in a nano-graphite ribbon with zigzag edges is investigated theoretically. Due to the strongly localized nature of the states near Fermi energy, the effective Hamiltonian for the low energy physics is given by Heisenberg Hamiltonian with the nearest neighbor exchange coupling. The action corresponding to the effective Hamiltonian is mapped to that of the O(3) nonlinear sigma model. It is shown that the spin excitation has a gap when the number of the zigzag lines is even, whereas the excitation becomes gapless in case of the odd number of the zigzag lines.

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