Construction and Classification of Crystalline Topological Superconductor and Insulators in Three-Dimensional Interacting Fermion Systems
Jian-Hao Zhang, Shang-Qiang Ning, Yang Qi, Zheng-Cheng Gu
DOI 10.1103/PhysRevX.15.031029 · Physical Review X
Active bibliographic source — not scientific approval
Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.
Abstract
The natural existence of crystalline symmetry in real materials manifests the importance of understanding crystalline symmetry-protected topological phases, especially for interacting systems. In this paper, we systematically construct and classify all the point-group crystalline topological superconductors and insulators in three-dimensional (3D) interacting fermion systems using the novel concept of a topological crystal. The corresponding higher-order topological surface theory can also be systematically studied via higher-order bulk-boundary correspondence. In particular, we discover several intrinsically interacting topological phases that cannot be realized in any free-fermion systems. Moreover, the crystalline equivalence principle for 3D interacting fermionic systems is also verified, with an additional subtle “twist” on the spin of fermions.
Similar papers
Real-space construction of crystalline topological superconductors and insulators in 2D interacting fermionic systems
similarity 0.96Jian-Hao Zhang et al.
Source status unknown — claims are unverified
Topology of crystalline insulators and superconductors
similarity 0.92Ken Shiozaki & Masatoshi Sato
Source status unknown — claims are unverified
Classification of time-reversal symmetric topological superconducting phases for conventional pairing symmetries
similarity 0.91Seishiro Ono et al.
Source status unknown — claims are unverified
Time-reversal-invariant C2-symmetric higher-order topological superconductors
similarity 0.91DinhDuy Vu et al.
Source status unknown — claims are unverified
Weyl phases in point-group symmetric superconductors
similarity 0.90Vasudha Shivamoggi & Matthew J. Gilbert
Source status unknown — claims are unverified
Symmetry indicators for topological superconductors
similarity 0.90Seishiro Ono et al.
Source status unknown — claims are unverified