@article{Schindler:2020:10.1103/PhysRevLett.124.247001,
author = {Schindler, F and Bradlyn, B and Fischer, MH and Neupert, T},
doi = {10.1103/PhysRevLett.124.247001},
journal = {Physical Review Letters},
title = {Pairing obstructions in topological superconductors},
url = {http://dx.doi.org/10.1103/PhysRevLett.124.247001},
volume = {124},
year = {2020}
}

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TY  - JOUR
AB  - 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.
AU  - Schindler,F
AU  - Bradlyn,B
AU  - Fischer,MH
AU  - Neupert,T
DO  - 10.1103/PhysRevLett.124.247001
PY  - 2020///
SN  - 0031-9007
TI  - Pairing obstructions in topological superconductors
T2  - Physical Review Letters
UR  - http://dx.doi.org/10.1103/PhysRevLett.124.247001
UR  - https://www.ncbi.nlm.nih.gov/pubmed/32639809
UR  - https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.124.247001
UR  - http://hdl.handle.net/10044/1/105762
VL  - 124
ER  - 

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