4 papers
The Algebra of Free Fermions: Classifying Spaces, Hamiltonians, and Computation
Tian Yuan, Yang Qi
Research on topological phases of matter is a core field in modern condensed matter physics. Free fermion systems, such as topological insulators and superconductors, have been stu…
Classification of Interacting Topological Crystalline Superconductors in Three Dimensions and Beyond
Shang-Qiang Ning, Xing-Yu Ren, Qing-Rui Wang +2
Although classification for free-fermion topological superconductors (TSC) is established, systematically understanding the classification of 3D interacting TSCs remains difficult,…
Classification of Average Crystalline Topological Superconductors through a Generalized Real-Space Construction
Sarvesh Srinivasan, Jian-Hao Zhang, Yang Qi +1
We investigate a novel class of topological superconducting phases protected by exact fermion-parity symmetry and average crystalline symmetries. These phases belong to the broader…
Parity violation as enforced symmetry breaking in 3D fermionic topological order
Shang-Qiang Ning, Yang Qi, Chenjie Wang +1
Symmetry can be intrinsically broken in topological phases due to inherent incompatibilities, a phenomenon known as enforced symmetry breaking (ESB) in the framework of topological…