Hierarchical zero- and one-dimensional topological states in symmetry-controllable grain boundary

Won-Jun Jang, Heeyoon Noh, Seoung-Hun Kang, Wonhee Ko, JiYeon Ku, Moon Jip Park () and Hyo Won Kim ()
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Won-Jun Jang: Samsung Advanced Institute of Technology
Heeyoon Noh: Yonsei University
Seoung-Hun Kang: Oak Ridge National Laboratory
Wonhee Ko: University of Tennessee at Knoxville
JiYeon Ku: Samsung Advanced Institute of Technology
Moon Jip Park: Institute for Basic Science (IBS)
Hyo Won Kim: Samsung Advanced Institute of Technology

Nature Communications, 2024, vol. 15, issue 1, 1-9

Abstract: Abstract Structural imperfections can be a promising testbed to engineer the symmetries and topological states of solid-state platforms. Here, we present direct evidence of hierarchical transitions of zero- (0D) and one-dimensional (1D) topological states in symmetry-enforced grain boundaries (GB) in 1T′–MoTe2. Using a scanning tunneling microscope tip press-and-pulse procedure, we construct two distinct types of GBs, which are differentiated by the underlying symmorphic and nonsymmorphic symmetries. The GBs with the nonsymmorphic rotation symmetry harbor first-order topological edge states protected by a nonsymmorphic band degeneracy. On the other hand, the edge state of the symmorphic GBs attains a band gap. More interestingly, the gapped edge state realizes a hierarchical topological phase, evidenced by the additional 0D boundary states at the GB ends. We anticipate our experiments will pioneer the material platform for the hierarchical realization of first-order and higher-order topology.

Date: 2024
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DOI: 10.1038/s41467-024-53315-0

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