Topological Phases in Graphene Nanoribbons: Junction States, Spin Centers, and Quantum Spin Chains

Cao, Ting; Zhao, Fangzhou; Louie, Steven G.

doi:10.1103/PhysRevLett.119.076401

Title: Topological Phases in Graphene Nanoribbons: Junction States, Spin Centers, and Quantum Spin Chains

Journal Article · Wed Aug 16 00:00:00 EDT 2017 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.119.076401· OSTI ID:1544373

Cao, Ting ^[1]; Zhao, Fangzhou ^[1]; Louie, Steven G. ^[1]

Univ. of California, Berkeley, CA (United States). Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Materials Sciences Division

We show that semiconducting graphene nanoribbons (GNRs) of different width, edge, and end termination (synthesizable from molecular precursors with atomic precision) belong to different electronic topological classes. The topological phase of GNRs is protected by spatial symmetries and dictated by the terminating unit cell. We have derived explicit formulas for their topological invariants and shown that localized junction states developed between two GNRs of distinct topology may be tuned by lateral junction geometry. The topology of a GNR can be further modified by dopants, such as a periodic array of boron atoms. In a superlattice consisting of segments of doped and pristine GNRs, the junction states are stable spin centers, forming a Heisenberg antiferromagnetic spin 1/2 chain with tunable exchange interaction. Furthermore, the discoveries here not only are of scientific interest for studies of quasi-one-dimensional systems, but also open a new path for design principles of future GNR-based devices through their topological characters.

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

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1544373

Alternate ID(s):: OSTI ID: 1375501

Journal Information:: Physical Review Letters, Vol. 119, Issue 7; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 135 works

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