Background: Open Access Editor's Choice Review Symmetric Mass Generation by Juven
Wang 1 and Yi-Zhuang You 2,* 1 Center of Mathematical Sciences and Applications …

Symmetry invariants of a group specify the classes of quasiparticles, namely the classes of
projective irreducible co-representations in systems having that symmetry. More symmetry …

The construction and classification of crystalline symmetry protected topological (SPT)
phases in interacting bosonic and fermionic systems have been intensively studied in the …

Symmetry invariants of a group specify the classes of quasiparticles, namely the classes of
projective irreducible\emph {co-representations}(irReps) in systems having that symmetry …

Freed-Hopkins give a mathematical ansatz for classifying gapped invertible phases of matter
with a spatial symmetry in terms of Borel-equivariant generalized homology. We propose a …

The Kähler-Dirac fermion, recognized as an elegant geometric approach, offers an
alternative to traditional representations of relativistic fermions. Recent studies have …

The natural existence of crystalline symmetry in real materials manifests the importance of
understanding crystalline symmetry-protected topological (SPT) phases, especially for …

Charge conjugation (C), mirror reflection (R), and time reversal (T) symmetries, along with
internal symmetries, are essential for massless Majorana and Dirac fermions. These …

We compute the mod-2 cohomology ring for three-dimensional (3D) space groups and
establish a connection between them and the lattice structure of crystals with space group …

We study the ground-state phase diagram of a spin-1 2 XXZ model with a chirality-chirality
interaction (CCI) on a two-leg ladder. This model offers a minimal setup to study an interplay …