# 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…

## 34 Citations

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Abstract
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## References

SHOWING 1-10 OF 12 REFERENCES

Topological nodal line semimetals with and without spin-orbital coupling

- Physics
- 2015

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.

- Physics, MedicineJournal of physics. Condensed matter : an Institute of Physics journal
- 2017

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

- Physics
- 2016

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

- Physics
- 2011

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

- Physics
- 2016

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

- Physics
- 2017

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.

- Physics, MedicinePhysical review letters
- 2015

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

- Physics
- 2002

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

- Physics
- 2014

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