# Topological nodal semimetals

@article{Burkov2011TopologicalNS, title={Topological nodal semimetals}, author={Anton A. Burkov and Michael David Hook and Leon Balents}, journal={Physical Review B}, year={2011}, volume={84}, pages={235126} }

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 momentum space. We discuss a general approach to such states by perturbation of the critical point between a normal insulator (NI) and a topological insulator (TI), breaking either time-reversal (TR) or inversion symmetry. We give an explicit model realization of both types of states in a NI-TI…

## 896 Citations

Topological nodal line semimetals

- Physics, Mathematics
- 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…

Characterization of Lifshitz transitions in topological nodal line semimetals

- Physics
- 2017

Abstract
We introduce a two-band model of three-dimensional nodal line semimetals (NLSMs), the Fermi surface of which at half-filling may form various one-dimensional configurations of different…

Topological Nodal-Line Fermions in the Non-Centrosymmetric Superconductor Compound PbTaSe2

- Physics
- 2015

In a typical three-dimensional metal, the low-energy excitations are found on a two-dimensional closed Fermi surface in momentum space. Topological semimetals, by contrast, can support onedimensional…

Protected boundary states in gapless topological phases

- Physics
- 2013

We systematically study gapless topological phases of (semi-)metals and nodal superconductors described by Bloch and Bogoliubov–de Gennes Hamiltonians. Using K-theory, a classification of…

Superconducting order parameter of the nodal-line semimetal NaAlSi

- Physics
- 2019

Nodal-line semimetals are topologically non-trivial states of matter featuring band crossings along a closed curve, i.e. nodal-line, in momentum space. Through a detailed analysis of the electronic…

Topologically nontrivial electronic states in CaSn3

- Physics
- 2017

Based on the first-principles calculations, we theoretically propose topologically non-trivial states in a recently experimentally discovered superconducting material CaSn3. When the spin-orbit…

Topological Dirac-Nodal-Sphere Semimetal

- Physics
- 2018

Topological semimetals (TSMs) in which conduction and valence bands cross at zero-dimensional (0D) Dirac nodal points (DNPs) or 1D Dirac nodal lines (DNLs), in 3D momentum space, have recently drawn…

Dowsing for nodal lines in a topological semimetal

- PhysicsProceedings of the National Academy of Sciences
- 2018

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.

Topological semimetals and insulators in three-dimensional honeycomb materials

- PhysicsPhysical Review B
- 2018

Semimetals, in which conduction and valence bands touch but do not form Fermi surfaces, have attracted considerable interest for their anomalous properties starting with the discovery of Dirac matter…

Topological nodal-line fermions in spin-orbit metal PbTaSe2

- PhysicsNature communications
- 2016

The detailed angle-resolved photoemission measurements, first-principles simulations and theoretical topological analysis illustrate the physical mechanism underlying the formation of the topological nodal-line states and associated surface states for the first time, thus paving the way towards exploring the exotic properties of the bottom-line fermions in condensed matter systems.

## References

The Universe in a Helium Droplet

- Physics
- 2003

2. GRAVITY 7. MICROSCOPIC PHYSICS 13. TOPOLOGY OF DEFECTS 18. ANOMALOUS NON-CONSERVATION OF FERMIONIC CHARGE 22. EDGE STATES AND FERMION ZERO MODES ON SOLITON 26. LANDAU CRITICAL VELOCITY 29. CASIMIR…