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

doi:10.1021/acs.nanolett.8b03416

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

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Abstract

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.

Authors:

^[1];

^[2];

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

^[2]

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

Publication Date:: 2018-09-25

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

Sponsoring Org.:: USDOE

OSTI Identifier:: 1543687

Resource Type:: Accepted Manuscript

Journal Name:: Nano Letters

Additional Journal Information:: Journal Volume: 18; Journal Issue: 11; Journal ID: ISSN 1530-6984

Publisher:: American Chemical Society

Country of Publication:: United States

Language:: English

Subject:: 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Chemistry; Science & Technology - Other Topics; Materials Science; Physics

Citation Formats


                    Lee, Yea-Lee, Zhao, Fangzhou, Cao, Ting, Ihm, Jisoon, and Louie, Steven G. Topological Phases in Cove-Edged and Chevron Graphene Nanoribbons: Geometric Structures, Z 2 Invariants, and Junction States.  United States: N. p., 2018. 
        Web.  doi:10.1021/acs.nanolett.8b03416.

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                    Lee, Yea-Lee, Zhao, Fangzhou, Cao, Ting, Ihm, Jisoon, & Louie, Steven G. Topological Phases in Cove-Edged and Chevron Graphene Nanoribbons: Geometric Structures, Z 2 Invariants, and Junction States.  United States.  doi:10.1021/acs.nanolett.8b03416.

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                    Lee, Yea-Lee, Zhao, Fangzhou, Cao, Ting, Ihm, Jisoon, and Louie, Steven G. Tue .  
        "Topological Phases in Cove-Edged and Chevron Graphene Nanoribbons: Geometric Structures, Z 2 Invariants, and Junction States".  United States.  doi:10.1021/acs.nanolett.8b03416.  https://www.osti.gov/servlets/purl/1543687.

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@article{osti_1543687,

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

  author       = {Lee, Yea-Lee and Zhao, Fangzhou and Cao, Ting and Ihm, Jisoon and Louie, Steven G.},

  abstractNote = {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.},

  doi          = {10.1021/acs.nanolett.8b03416},

  journal      = {Nano Letters},

  number       = 11,

  volume       = 18,

  place        = {United States},

  year         = {2018},

  month        = {9}

}

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DOI: 10.1021/acs.nanolett.8b03416

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

Abstract

Citation Formats

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