59 citations · 157 across the 5 of their papers we have counts for
5 papers
Classification and Construction of Topological Phases of Quantum Matter
Charles Zhaoxi Xiong
We develop a theoretical framework for the classification and construction of symmetry protected topological (SPT) phases, which are a special class of zero-temperature phases of s…
Bosonic Crystalline Symmetry Protected Topological Phases Beyond the Group Cohomology Proposal
Hao Song, Charles Zhaoxi Xiong, Sheng-Jie Huang
It is demonstrated by explicit construction that three-dimensional bosonic crystalline symmetry protected topological (cSPT) phases are classified by $H_ϕ^{5}(G;\mathbb{Z})\oplus H…
Generalized homology and Atiyah-Hirzebruch spectral sequence in crystalline symmetry protected topological phenomena
Ken Shiozaki, Charles Zhaoxi Xiong, Kiyonori Gomi
We propose that symmetry protected topological (SPT) phases with crystalline symmetry are formulated by equivariant generalized homologies over a real space manifold …
Organizing symmetry-protected topological phases by layering and symmetry reduction: a minimalist perspective
Charles Zhaoxi Xiong, A. Alexandradinata
It is demonstrated that fermionic/bosonic symmetry-protected topological (SPT) phases across different dimensions and symmetry classes can be organized using geometric construction…
Minimalist approach to the classification of symmetry protected topological phases
Charles Zhaoxi Xiong
A number of proposals with differing predictions (e.g. Borel group cohomology, oriented cobordism, group supercohomology, spin cobordism, etc.) have been made for the classificatio…