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Josephson Effect in Fibonacci Superconductors from Topological Supragap States
Ignacio Sardinero1,2, Jorge Cayao3, Keiji Yada4
1Universidad Autónoma de Madrid, Department of Theoretical Condensed Matter Physics, 28049 Madrid, Spain.
Physical Review Letters
|May 22, 2026
Summary
We explored the Josephson effect in Fibonacci quasicrystals. Topological edge modes significantly influence the supercurrent, offering new physics in quasicrystal research.
Area of Science:
- Condensed Matter Physics
- Quantum Materials
- Topological Physics
Background:
- The Josephson effect describes current flow between superconductors.
- Quasicrystals exhibit unique quasiperiodic order.
- Topological edge modes possess robust quantum properties.
Purpose of the Study:
- Investigate the Josephson effect in proximized Fibonacci quasicrystals.
- Analyze the role of topological edge modes in supercurrent.
- Explore control over these states via modulation shifts.
Main Methods:
- Theoretical investigation of superconducting quasicrystal systems.
- Analysis of chemical potential modulation effects.
- Study of Fibonacci- Andreev bound states and their dispersion.
Main Results:
- Topological gaps and supragap edge modes (Fibonacci-Andreev bound states) are induced.
- These states exhibit dispersion dependent on the phase difference.
- Modulation shifts control state localization and supercurrent contribution.
Conclusions:
- Topological edge modes strongly modify the Josephson effect in quasicrystals.
- Fibonacci-Andreev bound states can dominate supercurrent in short junctions.
- This work provides a route to explore exotic physics in quasicrystals.
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