Nodal-link semimetals

Abstract

In topological semimetals, the valence band and conduction band meet at zero-dimensional nodal points or one-dimensional nodal rings, which are protected by band topology and symmetries. In this Rapid Communication, we introduce "nodal-link semimetals", which host linked nodal rings in the Brillouin zone. We put forward a general recipe based on the Hopf map for constructing models of nodal-link semimetal. The consequences of nodal ring linking in the Landau levels and Floquet properties are investigated.

12 pages, 5 figures, including supplemental material. Published version

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• Non-Hermitian Hopf-Link Exceptional Line Semimetals
• Experimental discovery of nodal chains
• Exceptional Links and Twisted Fermi Ribbons in non-Hermitian Systems
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• Quantum Transport in Topological Semimetals under Magnetic Fields
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• Higher-order topological odd-parity superconductors
• Topological Semimetals carrying Arbitrary Hopf Numbers: Hopf-Link, Solomon's-Knot, Trefoil-Knot and Other Semimetals
• Knotted Non-Hermitian Metals
• Observation of Acoustic Non-Hermitian Bloch Braids and Associated Topological Phase Transitions
• Nodal Loop and Nodal Surface States in Ti3Al Family Materials
• Topological Dirac Nodal-net Fermions in AlB${}_2$-type TiB${}_2$ and ZrB${}_2$
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• Realistic Floquet semimetal with exotic topological linkages between arbitrarily many nodal loops
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• Photoinduced topological phase transition from a crossing-line nodal semimetal to a multiple-Weyl semimetal
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