Edge States and Flat Bands of Graphene Nanoribbons with Edge Modification
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概要
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We study the electronic states of graphene nanoribbons with modified edge structures by attaching Klein’s bearded bonds as a minimal model of edge modification. The partial attachment of Klein’s bearded bonds to graphene nanoribbons gives rise to the partial flat bands at zero-energy even under the condition of $|N_{A}-N_{B}| = 0$, where $N_{A}\ (N_{B})$ is the number of $A\ (B)$-sublattice sites. Using transfer matrix method, we successfully derive the analytic representation of edge states for modified zigzag edge. The modification of armchair edges causes the complete flat bands, where the wavefunction has the character of valley polarization. We also applied the density functional theory to optimize the lattice structure and estimate the spin density. Our results indicate that the chemical and structural modification of graphene edge will serve to design and stabilize the spin polarized edge states.
- 2010-03-15
著者
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Natsume Yuhei
Graduate School Of Science And Technology Chiba University
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Wakabayashi Katsunori
International Center for Materialas Nanoarchitectonics (MANA), National Institute for Materials Science (NIMS), 1-1 Namiki, Tsukuba, Ibaraki 305-0044, Japan
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Okada Susumu
Graduate School of Pure and Applied Sciences and Center for Computational Sciences, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8571, Japan
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Tomita Ryutaro
Graduate School of Science, Chiba University, Inage-ku, Chiba 263-8522, Japan
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Fujimoto Shigeo
Center for General Education, Chiba University, Inage-ku, Chiba 263-8522, Japan
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Natsume Yuhei
Graduate School of Science, Chiba University, Inage-ku, Chiba 263-8522, Japan
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Tomita Ryutaro
Graduate School of Science, Chiba University, 1-33 Yayoi-cyo, Inage-ku, Chiba 263-8522, Japan
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