Nodal-knot semimetals
By Ren Bi, Zhongbo Yan, Ling Lu, Zhong Wang. 2017
159 citations recorded by the source corpus.
Topological nodal-line semimetals are characterized by one-dimensional lines of band crossing in the Brillouin zone. In contrast to nodal points, nodal lines can be in topologically nontrivial configurations. In this Rapid Communication, we introduce the concept of ``nodal-knot semimetals,'' whose nodal lines form topologically nontrivial knots in the Brillouin zone. We introduce a generic construction of nodal-knot semimetals, which yields the simplest trefoil nodal knot and other more complicated nodal knots. The knotted-unknotted transitions by nodal-line reconnections are also studied. Our work brings the knot theory to the subject of topological semimetals.
Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/91005edd92239ef31db2901882f4d1ae092f4de7
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In Atomic and Molecular Physics, and Optics
In Materials Chemistry
Citations in the corpus
- Topological photonics (2018, background): “…invariants (winding numbers) were identified by Kitagawa, Berg et al. (2010), Asbóth (2012), Rudner et al. (2013), Carpentier et al. (2015), Nathan and Rudner (2015), Bi et al. (2017b), and Yao, Yan, and Wang (2017) and were indeed shown to depend on the complete time-evolution operator Ûðt; t0Þ.”
- Experimental discovery of nodal chains (2017, background): “18] and potentially nodal links [19–21] and nodal knots [22, 23].”
- Exceptional topology of non-Hermitian systems (2019, unknown): “There, owing to the higher codimension of nodal points, additional symmetries are necessary to stabilize knotted or linked nodal lines (Bi et al., 2017), and such fine-tuned nodal structures would not entail Fermi-Seifert surfaces.”