Topological Phases in Cove-Edged and Chevron Graphene Nanoribbons: Geometric Structures, Z 2 Invariants, and Junction States

Lee, Yea-Lee; Zhao, Fangzhou; Cao, Ting; Ihm, Jisoon; Louie, Steven G.

doi:10.1021/acs.nanolett.8b03416

Title: Topological Phases in Cove-Edged and Chevron Graphene Nanoribbons: Geometric Structures, Z ₂ Invariants, and Junction States

Journal Article · Tue Sep 25 00:00:00 EDT 2018 · Nano Letters

DOI:https://doi.org/10.1021/acs.nanolett.8b03416· OSTI ID:1543687

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^[2]; Ihm, Jisoon ^[3];

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Pohang Univ. of Science and Technology, Pohang, Kyungbuk (Korea). Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Materials Sciences Division; Univ. of California, Berkeley, CA (United States). Dept. of Physics
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Materials Sciences Division; Univ. of California, Berkeley, CA (United States). Dept. of Physics
Pohang Univ. of Science and Technology, Pohang, Kyungbuk (Korea). Dept. of Physics

Graphene nanoribbons (GNRs) have recently been shown by Cao, Zhao, and Louie [Cao, T.; Zhao, F.; Louie, S. G. Phys. Rev. Lett.2017, 119, 076401] to possess distinct topological phases in general, characterized by a 2 invariant. Cove-edged and chevron GNRs moreover are chemically and structurally diverse, quasi-one-dimensional (1D) nanostructures whose structure and electronic properties can be rationally controlled by bottom-up synthesis from precursor molecules. We derive the value of the topological invariant of the different types of cove-edged and chevron GNRs, and we investigate the electronic properties of various junctions formed by these GNRs, as well as such GNRs with the more common armchair or zigzag GNRs. We study the topological junction states at the interface of two topologically distinct segments. For an isolated GNR having two ends of different terminations, topological end states are shown to develop only at the topologically nontrivial end. Our work extends the explicit categorization of topological invariants of GNRs beyond the previously demonstrated armchair GNRs and provides new design rules for novel GNR junctions as well as future GNR-based nanoelectronic devices.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)

Sponsoring Organization:: USDOE

OSTI ID:: 1543687

Journal Information:: Nano Letters, Vol. 18, Issue 11; ISSN 1530-6984

Publisher:: American Chemical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 49 works

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Title: Topological Phases in Cove-Edged and Chevron Graphene Nanoribbons: Geometric Structures, Z 2 Invariants, and Junction States

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