3 papers
cond-mat.mes-hall2025
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…
cond-mat.mes-hall2025
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…
cond-mat.mes-hall2025
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…