Pairing Obstructions in Topological Superconductors
ORAL
Abstract
The modern understanding of topological insulators is based on Wannier obstructions in position space. This insight suggests that there should also be a position space perspective on topological superconductors. For a proximitized nanowire, I will explain in what sense particle-hole symmetry implies that Cooper pairs are weakly paired in the topological phase. At the same time, this regime is captured by a quantized separation of Majorana pairing centers from the atomic positions. I will apply our results to diagnose second-order topological superconductors in two dimensions. Our work establishes a vantage point for the generalization of topological quantum chemistry to superconductivity.
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Presenters
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Frank Schindler
Princeton University, University of Zurich
Authors
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Frank Schindler
Princeton University, University of Zurich
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Barry Bradlyn
University of Illinois at Urbana-Champaign, Department of Physics, University of Illinois, Department of Physics, University of Illinois at Urbana-Champaign, University of Illinois Urbana-Champaign, USA, Department of Physics and Institute for Condensed Matter Theory, University of Illinois at Urbana-Champaigm
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Mark Fischer
Universität Zürich, Univ of Zurich, University of Zurich, Department of Physics, University of Zurich
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Titus Neupert
University of Zurich, Universität Zürich, Department of Physics, University of Zurich, Univ of Zurich, Physics, University of Zurich