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Topological Dirac Nodal-net Fermions in AlB$_2$-type TiB$_2$ and ZrB$_2$

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arxiv 1705.00511 v2 pith:PJ5PNCBE submitted 2017-05-01 cond-mat.mtrl-sci

classification cond-mat.mtrl-sci
keywords nodal-netdiracsymmetrystatetopologicaltypeadditionanalogous
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abstract

Based on first-principles calculations and effective model analysis, a Dirac nodal-net semimetal state is recognized in AlB$_2$-type TiB$_2$ and ZrB$_2$ when spin-orbit coupling (SOC) is ignored. Taking TiB$_2$ as an example, there are several topological excitations in this nodal-net structure including triple point, nexus, and nodal link, which are protected by coexistence of spatial-inversion symmetry and time reversal symmetry. This nodal-net state is remarkably different from that of IrF$_4$, which requires sublattice chiral symmetry. In addition, linearly and quadratically dispersed two-dimensional surface Dirac points are identified as having emerged on the B-terminated and Ti-terminated (001) surfaces of TiB$_2$ respectively, which are analogous to those of monolayer and bilayer graphene.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Dirac nodal line network in non-symmorphic rutile semimetal RuO$_2$

    cond-mat.mes-hall 2019-08 reject novelty 5.0 of 10

    Micro-ARPES resolves two predicted Dirac nodal lines in RuO2 and reveals a third band crossing along XR that anchors a flat-band surface state.

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