# Symmetry-enforced topological nodal planes at the Fermi surface of a chiral magnet

@article{Wilde2021SymmetryenforcedTN, title={Symmetry-enforced topological nodal planes at the Fermi surface of a chiral magnet}, author={Marc A. Wilde and Matthias Dodenh{\"o}ft and Arthur Niedermayr and Andreas Bauer and Moritz M. Hirschmann and Kirill Alpin and Andreas P. Schnyder and Christian Pfleiderer}, journal={Nature}, year={2021}, volume={594}, pages={374 - 379} }

Despite recent efforts to advance spintronics devices and quantum information technology using materials with non-trivial topological properties, three key challenges are still unresolved1–9. First, the identification of topological band degeneracies that are generically rather than accidentally located at the Fermi level. Second, the ability to easily control such topological degeneracies. And third, the identification of generic topological degeneracies in large, multisheeted Fermi surfaces…

## 24 Citations

### Network of Topological Nodal Planes, Multifold Degeneracies, and Weyl Points in CoSi.

- PhysicsPhysical review letters
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We showcase the importance of global band topology in a study of the Weyl semimetal CoSi as a representative of chiral space group (SG) 198. We identify a network of band crossings comprising…

### Quasi-symmetry protected topology in a semi-metal

- PhysicsNature Physics
- 2022

The crystal symmetry of a material dictates the type of topological band structure it may host, and therefore, symmetry is the guiding principle to find topological materials. Here we introduce an…

### Hidden quasi-symmetries stabilize non-trivial quantum oscillations in CoSi

- Physics
- 2021

Unlocking the exotic properties promised to occur in topologically non-trivial semi-metals currently requires significant fine-tuning. Crystalline symmetry restricts the location of topological…

### Symmetry-enforced topological band crossings in orthorhombic crystals: Classification and materials discovery

- PhysicsPhysical Review Materials
- 2021

We identify all symmetry-enforced band crossings in nonmagnetic orthorhombic crystals with and without spin-orbit coupling and discuss their topological properties. We find that orthorhombic crystals…

### Quasiparticle characteristics of the weakly ferromagnetic Hund metal MnSi

- PhysicsPhysical Review B
- 2022

Hund’s metals are multi-orbital systems with 3 d or 4 d electrons exhibiting both itinerant character and local moments, and they feature Kondo-like screenings of local orbital and spin moments, with…

### Fundamental laws of chiral band crossings: local constraints, global constraints, and topological phase diagrams

- Physics
- 2023

We derive two fundamental laws of chiral band crossings: (i) a local constraint relating the Chern number to phase jumps of rotation eigenvalues; and (ii) a global constraint determining the number…

### Complete classification of band nodal structures

- Mathematics
- 2022

Nodal structures (NSrs) where energy bands meet to be degenerate in the Brillouin zone (BZ) in the form of point, line or surface, received immense research interest in the past decade. However, the…

### Chirality locking charge density waves in a chiral crystal

- PhysicsNature Communications
- 2022

In Weyl semimetals, charge density wave (CDW) order can spontaneously break the chiral symmetry, gap out the Weyl nodes, and drive the material into the axion insulating phase. Investigations have…

### Chern numbers of topological phonon band crossing determined with inelastic neutron scattering

- PhysicsPhysical Review B
- 2022

Topological invariants in the band structure, such as Chern numbers, are crucial for the classiﬁcation of topological matters and dictate the occurrence of exotic properties, yet their direct…

### Magnetic molecular orbitals in MnSi

- PhysicsScience advances
- 2023

A large body of knowledge about magnetism is attained from models of interacting spins, which usually reside on magnetic ions. Proposals beyond the ionic picture are uncommon and seldom verified by…

## References

SHOWING 1-10 OF 74 REFERENCES

### Topological band crossings in hexagonal materials

- PhysicsPhysical Review Materials
- 2018

Topological semimetals exhibit band crossings near the Fermi energy, which are protected by the nontrivial topological character of the wave functions. In many cases, these topological band…

### Chiral topological semimetal with multifold band crossings and long Fermi arcs

- PhysicsNature Physics
- 2019

Topological semimetals in crystals with a chiral structure (which possess a handedness due to a lack of mirror and inversion symmetries) are expected to display numerous exotic physical phenomena,…

### Topological quantum properties of chiral crystals

- PhysicsNature Materials
- 2018

It is shown that Kramers–Weyl fermions are a universal topological electronic property of all non-magnetic chiral crystals with spin–orbit coupling and are guaranteed by structural chirality, lattice translation and time-reversal symmetry.

### Nonsymmorphic symmetry-required band crossings in topological semimetals

- Physics
- 2016

We show that for two-band systems nonsymmorphic symmetries may enforce the existence of band crossings in the bulk, which realize Fermi surfaces of reduced dimensionality. We find that these…

### Multiple Types of Topological Fermions in Transition Metal Silicides.

- PhysicsPhysical review letters
- 2017

By using the ab initio density functional theory, it is shown that these unconventional quasiparticles coexist with type-I and type-II Weyl fermions in a family of transition metal silicides, including CoSi, Rh Si, RhGe, and CoGe, when spin-orbit coupling is considered.

### Classification of topological quantum matter with symmetries

- Physics
- 2016

Topological materials have become the focus of intense research in recent years, since they exhibit fundamentally new physical phenomena with potential applications for novel devices and quantum…

### Filling-Enforced Magnetic Dirac Semimetals in Two Dimensions.

- PhysicsPhysical review letters
- 2017

A new class of two-dimensional Dirac semimetal protected by the combination of crystal symmetries and a special, antiferromagnetic time-reversal symmetry is presented, capable of hosting just a single isolated Dirac point at the Fermi level and represents a new quantum critical point.

### Observation of a topological nodal surface and its surface-state arcs in an artificial acoustic crystal

- Physics, Materials ScienceNature Communications
- 2019

The experimental observation of a twofold symmetry-enforced nodal surface in a 3D chiral acoustic crystal is reported, constituting the first realization of a higher-dimensional topologically-charged band degeneracy.

### Unified Theory of PT and CP Invariant Topological Metals and Nodal Superconductors.

- PhysicsPhysical review letters
- 2016

A unified topological theory of PT and CP invariant metals and nodal superconductors is established, based on the mathematically rigorous KO theory, and it is found that the topological charges of Fermi surfaces in the bulk determine an exotic direction-dependent distribution of topological subgap modes on the boundaries.

### Nodal surface semimetals: Theory and material realization

- Materials Science
- 2018

We theoretically study the three-dimensional topological semimetals with nodal surfaces protected by crystalline symmetries. Different from the well-known nodal-point and nodal-line semimetals, in…