Quantum 2025 – wissenschaftliches Programm

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TUE: Tuesday Contributed Sessions

TUE 3: Quantum Field Theory

TUE 3.2: Vortrag

Dienstag, 9. September 2025, 14:30–14:45, ZHG003

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

We explore interface states between two paradigmatic mesoscopic many-body quantum phases: a type-II s-wave superconductor (SC) and a Chern insulator in the ν = 1 quantum Hall (QH) regime. We show that effective interactions at the SC/QH boundary give rise to two emergent Abelian Higgs fields, representing paired electrons localized at the interface. These fields couple through a Chern-Simons term originating from the QH sector, which induces a topological mass for photons and imparts a fractional topological charge to the interface vortices. These findings, particularly the emergence of vortices carrying fractional charge, corresponding to Abelian anyons, bridge topological condensed matter physics and quantum information science, suggesting a new platform for engineering anyonic excitations and advancing toward fault-tolerant topological quantum computation.

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