Regensburg 2025 – scientific programme

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HL: Fachverband Halbleiterphysik

HL 28: Topological Insulators (joint session MA/HL)

HL 28.3: Talk

Tuesday, March 18, 2025, 14:30–14:45, H16

Fractionally Charged Vortices at Quantum Hall/Superconductor Interfaces — •Enderalp Yakaboylu and Thomas Schmidt — Department of Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg

We investigate interface states between a type-II s-wave superconductor (SC) and a Chern insulator describing an integer quantum Hall (QH) system. We find that an effective pairing interaction at this boundary gives rise to two emergent Abelian Higgs fields, representing the two paired electrons at the SC/QH interface, coupled to a gauge field that incorporates both Chern-Simons and Maxwell terms. We use this model to investigate the effect of magnetic flux vortices in the SC on the QH system. In particular, we find vortex solutions in which the Cooper pairs give rise to topological fractionally-charged vortices localized at the interface.

Keywords: Chern Insulator; Chern-Simons; Supercondutor; Abelian Higgs Model; Vortex