Combinatorics

Physics

Electron

Topology (electrical circuits)

Mathematics

Electronic band structure

Mathematical optimization

Acoustics

Fermi energy

Geometry

Saddle point

Condensed matter physics

Saddle

Lattice (music)

Fermi level

Spin (aerodynamics)

Fermion

Quantum mechanics

Dirac fermion

Thermodynamics

Nature Communications

Kagome-lattices of 3d-transition metals hosting Weyl/Dirac fermions and topological flat bands exhibit non-trivial topological characters and novel quantum phases, such as the anomalous Hall effect and fractional quantum Hall effect. With consideration of spin-orbit coupling and electron correlation, several instabilities could be induced. The typical characters of the electronic structure of a kagome lattice, i.e., the saddle point, Dirac-cone, and flat band, around the Fermi energy (E

Dirac cone, flat band and saddle point in kagome magnet YMn6Sn6