Topological nodal line semimetals
By Chen Fang, H. Weng, X. Dai, Z. Fang. 2016
689 citations recorded by the source corpus.
We review the recent, mainly theoretical, progress in the study of topological nodal line semimetals in three dimensions. In these semimetals, the conduction and the valence bands cross each other along a one-dimensional curve in the three-dimensional Brillouin zone, and any perturbation that preserves a certain symmetry group (generated by either spatial symmetries or time-reversal symmetry) cannot remove this crossing line and open a full direct gap between the two bands. The nodal line(s) is hence topologically protected by the symmetry group, and can be associated with a topological invariant. In this Review, (i) we enumerate the symmetry groups that may protect a topological nodal line; (ii) we write down the explicit form of the topological invariant for each of these symmetry groups in terms of the wave functions on the Fermi surface, establishing a topological classification; (iii) for certain classes, we review the proposals for the realization of these semimetals in real materials and (iv) we discuss different scenarios that when the protecting symmetry is broken, how a topological nodal line semimetal becomes Weyl semimetals, Dirac semimetals and other topological phases and (v) we discuss the possible physical effects accessible to experimental probes in these materials.
Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/12ec9850aef2962b27a23f344ca0ff0ce0fb8e44
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
In Materials Chemistry
Citations in the corpus
- Unconventional mass enhancement around the Dirac nodal loop in ZrSiS (2017, background): “…i.e. systems in which the conduction and valence bands cross each other along a closed trajectory (line or loop) inside the Brillouin zone, has opened up a new arena for the exploration of topological aspects of condensed matter that may be distinct from those associated with TIs or WSMs [13, 14].”
- Experimental discovery of nodal chains (2017, background): “[9] Chen Fang, Hongming Weng, Xi Dai, and Zhong Fang, “Topological nodal line semimetals,” Chinese Physics B 25, 117106 (2016).”