Research Paper#Condensed Matter Physics, Topological Superconductors🔬 ResearchAnalyzed: Jan 3, 2026 06:33
Classification of Interacting Topological Crystalline Superconductors
Published:Dec 31, 2025 18:59
•1 min read
•ArXiv
Analysis
This paper addresses the challenging problem of classifying interacting topological superconductors (TSCs) in three dimensions, particularly those protected by crystalline symmetries. It provides a framework for systematically classifying these complex systems, which is a significant advancement in understanding topological phases of matter. The use of domain wall decoration and the crystalline equivalence principle allows for a systematic approach to a previously difficult problem. The paper's focus on the 230 space groups highlights its relevance to real-world materials.
Key Takeaways
- •Provides a framework for classifying 3D interacting topological crystalline superconductors.
- •Utilizes domain wall decoration and the crystalline equivalence principle.
- •Focuses on the 230 space groups, relevant to real materials.
- •Establishes a complete classification for FSPTs with discrete internal symmetries.
Reference
“The paper establishes a complete classification for fermionic symmetry protected topological phases (FSPT) with purely discrete internal symmetries, which determines the crystalline case via the crystalline equivalence principle.”