Dirac Line Nodes in Inversion-Symmetric Crystals.

By Youngkuk Kim, Benjamin J. Wieder, C. L. Kane, Andrew M. Rappe. Physical Review Letters, 2015

596 citations recorded by the source corpus.

We propose and characterize a new Z2 class of topological semimetals with a vanishing spin-orbit interaction. The proposed topological semimetals are characterized by the presence of bulk one-dimensional (1D) Dirac line nodes (DLNs) and two-dimensional (2D) nearly flat surface states, protected by inversion and time-reversal symmetries. We develop the Z2 invariants dictating the presence of DLNs based on parity eigenvalues at the parity-invariant points in reciprocal space. Moreover, using first-principles calculations, we predict DLNs to occur in Cu_{3}N near the Fermi energy by doping nonmagnetic transition metal atoms, such as Zn and Pd, with the 2D surface states emerging in the projected interior of the DLNs. This Letter includes a brief discussion of the effects of spin-orbit interactions and symmetry breaking as well as comments on experimental implications.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/a8399b2be9ce71d4f08b2c19d55cf1fe98e8526f

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

1. Ashvin Vishwanath
2. N. P. Armitage
3. E. Mele
4. Hsin Lin
5. Arun Bansil
6. Zhong Wang
7. Ling Lu
8. Shoucheng Zhang

In Materials Chemistry

1. Ashvin Vishwanath
2. N. P. Armitage
3. E. Mele
4. Hsin Lin
5. Arun Bansil
6. Shoucheng Zhang
7. Z. Fang
8. X. Dai

Citations in the corpus

• Weyl and Dirac semimetals in three-dimensional solids (2017, background): “Indeed as discussed in (Kim et al., 2015) there is a Z2 index associated with loops in the BZ that encircle line nodes.”
• Classification of topological quantum matter with symmetries (2015, background): “FSs are said to be topologically stable (or simply “stable”), when they cannot be fully gapped by perturbations that are local in momentum space and small, such that the bulk gap remains intact sufficiently far away from the FS. (The precise meaning of “local” here will be elaborated shortly).”
• Experimental observation of optical Weyl points and Fermi arc-like surface states (2016, background): “The presence of conical diffraction at a single probe wavelength distinguishes our Weyl point from gapped phases or Dirac line nodes [33].”
• Origin of Mott Insulating Behavior and Superconductivity in Twisted Bilayer Graphene (2018, background): “This stability can be reasoned by noting thatC2T quantizes the Berry phase along any closed loop to 0; π mod 2π, and a Dirac point corresponds precisely to the case of a nontrivial π Berry phase [26].”
• Topological node-line semimetal in three-dimensional graphene networks (2014, background): “[52] R. Yu, H. Weng, Z. Fang, X. Dai, and X. Hu, Topological node-line semimetal and Dirac semimetal state in antiperovskite Cu3PdN, arXiv:1504.04577 [Phys.”
• Nodal-link semimetals (2017, background): “Nodal rings have been predicted (e.g., Cu3PdN[60, 61],Hg3As2[74], Ca3P2[63, 75], 3D carbon networks[58], CaP3[76], Alkali Earth Metals[77, 78]) and experimentally studied in quite a few materials (e.g., PbTaSe2[62], ZrSiTe[79], ZrSiS[80–84]).”
• Topological Semimetals from First Principles (2018, background): “In the limit of vanishing spin-orbit coupling, assuming both time-reversal T and inversion P symmetry are present, the (doubly) Kramers degenerate bands can cross without opening a band gap along a one-dimensional line; this crossing is protected by a nontrivial Z2 quantized Berry phase, resulting i”