19 citations · 22 across the 7 of their papers we have counts for
5 papers · 1 filter
Complete Topological Classification with P and T Symmetries: Revealing a Topological Invariant Invisible to K-Theory
Chen Zhang, Y. X. Zhao
The K-theoretic framework provides a complete topological classification of the tenfold symmetry classes and has been generalized to incorporate crystalline symmetries. Here, we sh…
Projective crystal symmetry and topological phases
Chen Zhang, Shengyuan A. Yang, Y. X. Zhao
Quantum states naturally represent symmetry groups, though often in a projective sense. Intriguingly, the projective nature of crystalline symmetries has remained underexplored unt…
Asymmetric real topology of conduction and valence bands
J. X. Dai, Chen Zhang, Y. X. Zhao
Previously, it was believed that conduction and valence bands exhibit a symmetry: They possess opposite topological invariants (e.g., the Chern numbers of conduction and valence ba…
Brillouin Platycosms and Topological Phases
Chen Zhang, Peiyuan Wang, Junkun Lyu +1
There exist ten distinct closed flat D manifolds, known as platycosms, which hold significance in mathematics and have been postulated as potential geometric models for our univ…
Non-Abelian Braiding of Topological Edge Bands
Yang Long, Zihao Wang, Chen Zhang +3
Braiding is a geometric concept that manifests itself in a variety of scientific contexts from biology to physics, and has been employed to classify bulk band topology in topologic…