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Pairing Obstructions in Topological Superconductors
- Source :
- Phys. Rev. Lett. 124, 247001 (2020)
- Publication Year :
- 2020
-
Abstract
- The modern understanding of topological insulators is based on Wannier obstructions in position space. Motivated by this insight, we study topological superconductors from a position-space perspective. For a one-dimensional superconductor, we show that the wave function of an individual Cooper pair decays exponentially with separation in the trivial phase and polynomially in the topological phase. For the position-space Majorana representation, we show that the topological phase is characterized by a nonzero Majorana polarization, which captures an irremovable and quantized separation of Majorana Wannier centers from the atomic positions. We apply our results to diagnose second-order topological superconducting phases in two dimensions. Our work establishes a vantage point for the generalization of Topological Quantum Chemistry to superconductivity.<br />Comment: 6 pages, 3 figures, accepted manuscript, supplement included
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. Lett. 124, 247001 (2020)
- Publication Type :
- Report
- Accession number :
- edsarx.2001.02682
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevLett.124.247001