Band twisting and resilience to disorder in long-range topological superconductors

T. O. Puel; O. Viyuela

doi:10.1103/physrevb.100.014508

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arXiv · 1903.06175

Band twisting and resilience to disorder in long-range topological superconductors

T. O. Puel·O. Viyuela

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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 being 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.

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T. O. Puel, O. Viyuela. 2019-03-14. Band twisting and resilience to disorder in long-range topological superconductors. https://doi.org/10.1103/physrevb.100.014508

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