Band twisting and resilience to disorder in long-range topological superconductors
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PhysRevB.100.014508.pdf
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3.04 MB
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Author(s) •
Puel, T. O.
Viyuela Garcia, Oscar
Date Issued
July 2019
Journal
Physical Review B
Publisher
American Physical Society
Citation
Puel, T. O. and O. Viyuela. "Band twisting and resilience to disorder in long-range topological superconductors." Physical Review B 100, 1 (July 2019): 014508 (2019) © 2019 American Physical Society
Version
Final published version
Abstract
Planar topological superconductors with power-law-decaying pairing display different kinds of topological phase transitions where quasiparticles dubbed nonlocal-massive Dirac fermions emerge. These exotic particles form through long-range interactions between distant Majorana modes at the boundary of the system. We show how these propagating-massive Dirac fermions neither mix with bulk states nor Anderson-localize up to large amounts of static disorder despite having finite energy. Analyzing the density of states (DOS) and the band spectrum of the long-range topological superconductor, we identify the formation of an edge gap and a surprising double-peak structure in the DOS which can be linked to a twisting of energy bands with nontrivial topology. Our findings are amenable to experimental verification in the near-future using atom arrays on conventional superconductors, planar Josephson junctions on two-dimensional electron gases, and Floquet driving of topological superconductors.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.100.014508