Braiding with a model that interpolates between Majorana bound states and trivial fermions
ORAL
Abstract
Demonstrating a nontrivial result of quasiparticle exchange (or braiding) is usually considered the ultimate proof of a topological phase with nonabelian excitations, such as Majorana bound states (MBSs) in a topological superconductor. However, in finite systems with disorder and smooth potential variations, the MBSs are delocalized and can to a varying degree resemble conventional fermions. We develop a braiding protocol in a model that can be tuned from hosting perfect localized MBSs to conventional zero-energy fermions and anything in between. Our protocol could be implemented in quantum-dot-based minimal Kitaev chains, but is relevant for any finite system with nonabelian excitations.
*We acknowledge funding from Nanolund, the Swedish Research Council (VR), and the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme under Grant Agreement No. 856526, funding from the Horizon Europe Framework Program of the European Commission through the European Innovation Council Pathfinder Grant No. 101115315 (QuKiT), the Spanish Comunidad de Madrid (CM) ``Talento Program'' (Project No. 2022-T1/IND-24070), and the Spanish Ministry of Science, innovation, and Universities through Grants PID2022-140552NA-I00.
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Publication: Braiding with a model that describes Majorana bound states and trivial fermions
Presenters
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Maximilian Nitsch
- Lund University