Electrodynamics on Fermi Cyclides in Nodal Line Semimetals.

@article{Ahn2017ElectrodynamicsOF,
  title={Electrodynamics on Fermi Cyclides in Nodal Line Semimetals.},
  author={Seongjin Ahn and Eugene J. Mele and Hongki Min},
  journal={Physical review letters},
  year={2017},
  volume={119 14},
  pages={
          147402
        }
}
We study the frequency-dependent conductivity of nodal line semimetals (NLSMs), focusing on the effects of carrier density and energy dispersion on the nodal line. We find that the low-frequency conductivity has a rich spectral structure which can be understood using scaling rules derived from the geometry of their Dupin cyclide Fermi surfaces. We identify different frequency regimes, find scaling rules for the optical conductivity in each, and demonstrate them with numerical calculations of… 

Figures and Topics from this paper

Dynamical conductivity in the topological nodal-line semimetal ZrSiS
ZrSiS is one of the strong candidates for realistic nodal-line semimetal. We theoretically investigate the dynamical conductivity in ZrSiS by using a multi-orbital theoretical model based on the
Nodal-line semimetals from Weyl superlattices
The band crossings at the Fermi level of a Weyl semimetal are generally stable against disorder. The only way to open a gap in the spectrum is by annihilating pairs of Weyl nodes. Here, the authors
Electronic correlations in nodal-line semimetals
Dirac fermions with highly dispersive linear bands 1 – 3 are usually considered weakly correlated due to the relatively large bandwidths ( W ) compared to Coulomb interactions ( U ). With the
Weak Localization and Antilocalization in Nodal-Line Semimetals: Dimensionality and Topological Effects.
TLDR
This work calculates the quantum correction to conductivity in a disordered nodal-line semimetal and presents weak-field magnetoconductivity calculations at low temperatures for realistic experimental parameters and predicts that clear scaling signatures ∝sqrt[B] and ∝-lnB, respectively, are predicted.
Optical signatures of Dirac nodal lines in NbAs2
TLDR
It is demonstrated that solids with dispersive nodal lines in the electronic structure share many common aspects with the response of 3D nodal-points systems.
Thermodynamics and transport of holographic nodal line semimetals
Abstract We study various thermodynamic and transport properties of a holographic model of a nodal line semimetal (NLSM) at finite temperature, including the quantum phase transition to a
Dowsing for nodal lines in a topological semimetal
  • E. J. Mele
  • Medicine, Physics
    Proceedings of the National Academy of Sciences
  • 2018
TLDR
A spectroscopic search for line degeneracies in the electronic bands of NbAs2, a topological semimetal, suggests that the nascent nodal lines might explain an unusually strong magnetoresistance of the family of related dipnictides, XPn 2.
Dynamical conductivity in the multiply degenerate point-nodal semimetal CoSi
We investigate the dynamical conductivity in multiply-degenerate point-nodal semimetal CoSi. In the semimetal, the band structure holds point nodes at the $\Gamma$ and R points in the Brillouin zone
Fractional Power-Law Intraband Optical Conductivity in the Low-Dimensional Dirac Material CaMnBi2
We studied the broadband optical conductivity of CaMnBi2, a material with two-dimensional Dirac electronic bands, and found that both components of the intraband conductivity follow a universal power
Free-carrier dynamics in Au2Pb probed by optical conductivity measurements.
  • R. Kemmler, R. Hübner, +5 authors A. Pronin
  • Materials Science, Physics
    Journal of physics. Condensed matter : an Institute of Physics journal
  • 2018
TLDR
Overall, optical response of Au2Pb is typically metallic with no signs of localization and bad-metal behavior.
...
1
2
3
4
...

References

SHOWING 1-10 OF 12 REFERENCES
Topological nodal line semimetals with and without spin-orbital coupling
lines in the Brillouin zone. We propose two different classes of symmetry protected nodal lines in the absence and in the presence of spin-orbital coupling (SOC), respectively. In the former, we
Optical response of a line node semimetal.
  • J. Carbotte
  • Physics, Medicine
    Journal of physics. Condensed matter : an Institute of Physics journal
  • 2017
TLDR
The AC optical response of a line node semimetal is calculated with emphasis on characteristic behaviours which can be used to distinguish them from point node materials such as Dirac and Weyl semimetals and shows an evolution from a 2D to 3D behaviour.
Magnetic susceptibility in three-dimensional nodal semimetals
We study the magnetic susceptibility in various three-dimensional gapless systems, including Dirac and Weyl semimetals and a line-node semimetal. The susceptibility is decomposed into the orbital
Topological nodal semimetals
We present a study of “nodal-semimetal” phases in which nondegenerate conduction and valence bands touch at points (the “Weyl semimetal”) or lines (the “line-node semimetal”) in three-dimensional
Topological nodal line semimetals
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
Topological nodal line semimetals predicted from first-principles calculations
Topological semimetals are newly discovered states of quantum matter, which have extended the concept of topological states from insulators to metals and attracted great research interest in recent
Line of Dirac Nodes in Hyperhoneycomb Lattices.
TLDR
A family of structures that have "Dirac loops," closed lines of Dirac nodes in momentum space, on which the density of states vanishes linearly with energy are proposed, which lead to quantized Hall conductivities in three dimensions for magnetic fields with toroidal geometry.
Dynamical Conductivity and Zero-Mode Anomaly in Honeycomb Lattices
A topological anomaly present at zero energy is shown to give rise to a peculiar and singular behavior of the dynamic and static conductivity in two-dimensional honeycomb lattices. A calculation in a
Classification of reflection-symmetry-protected topological semimetals and nodal superconductors
While the topological classification of insulators, semimetals, and superconductors in terms of nonspatial symmetries is well understood, less is known about topological states protected by
and Leon Balents
  • Topological nodal semimetals, Phys. Rev. B 84, 235126
  • 2011
...
1
2
...