Journal
PHYSICAL REVIEW LETTERS
Volume 128, Issue 25, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.128.251601
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Funding
- DOE [DE-FG02-00ER41132]
- DOE QuantISED program through the theory consortium Intersections of QIS and Theoretical Particle Physics at Fermilab
- U.S. Department of Energy, Office of Science, Office of Nuclear Physics Quantum Horizons program [DE-SC0021892]
- U.S. Department of Energy (DOE) [DE-SC0021892] Funding Source: U.S. Department of Energy (DOE)
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This study demonstrates how the index of the fermion operator can be used to uncover gapless modes on defects in topological insulators and superconductors. The 1-loop Feynman diagram reveals the presence of a quantum Hall current flowing on and off the defect, even in systems without conserved currents or chiral anomalies, and highlights the interplay between topology in momentum and coordinate space.
We show how the index of the fermion operator from the Euclidean action can be used to uncover the existence of gapless modes living on defects (such as edges and vortices) in topological insulators and superconductors. The 1-loop Feynman diagram that computes the index reveals an analog of the quantum Hall current flowing on and off the defect???even in systems without conserved currents or chiral anomalies ???and makes explicit the interplay between topology in momentum and coordinate space. We provide several explicit examples.
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