A nodal-line
semimetal (NLSM) is suppressed in the presence of
spin–orbit coupling unless it is protected by a nonsymmorphic
symmetry. We show that two-dimensional (2D) materials can realize
robust NLSMs when vacancies are introduced on the lattice. As a case
study we investigate borophene, a boron honeycomb-like sheet. While
the Dirac cones of pristine borophene are shown to be gapped out by
spin–orbit coupling and by magnetic exchange, robust nodal
lines (NLs) emerge in the spectrum when selected atoms are removed.
We propose an effective 2D model and a symmetry analysis to demonstrate
that these NLs are topological and protected by a nonsymmorphic glide
plane. Our findings offer a paradigm shift to the design of NLSMs:
instead of searching for nonsymmorphic materials, robust NLSMs may
be realized simply by removing atoms from ordinary symmorphic crystals.
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