In this section
@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}
}
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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