The Nielsen-Ninomiya theorem set up a ground rule for the minimal number of the
topological points in a Brillouin zone. Notably, in the 2D Brillouin zone, chiral symmetry and …

The fermion doubling theorem plays a pivotal role in Hermitian topological materials. It
states, for example, that Weyl points must come in pairs in three-dimensional semimetals …

The fermion doubling theorem plays a pivotal role in Hermitian topological materials. It
states, for example, that Weyl points must come in pairs in three-dimensional semimetals …

The Hopf insulator is a representative class of three-dimensional topological insulators
beyond the standard topological classification methods based on K theory. In this Letter, we …

While the topological classification of insulators, semimetals, and superconductors in terms
of nonspatial symmetries is well understood, less is known about topological states …

Non-Hermiticity gives rise to distinctive topological phenomena absent in Hermitian systems.
However, connection between such intrinsic non-Hermitian topology and Hermitian topology …

We study the superconductivity of spin-polarized electrons in centrosymmetric ferromagnetic
metals. Due to the spin polarization and the Fermi statistics of electrons, the …

Classifications of symmetry-protected topological (SPT) phases provide a framework to
systematically understand the physical properties and potential applications of topological …

Revealing new topological phases is of utmost importance in both Hermitian and non-
Hermitian systems due to their potential applications. Generally, topological phases depend …

Topological phases can not only be protected by internal symmetries (eg, time-reversal
symmetry), but also by crystalline symmetries, such as reflection or rotation symmetry …