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Splitting the Hinge Mode of Higher-Order Topological Insulators
1Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 7610001, Israel.
Physical Review Letters
|August 7, 2019
Summary
Higher-order topological insulators host unique hinge modes. Perturbations like Zeeman fields and superconductors can split these modes, creating novel chiral Majorana modes detectable via electrical transport.
Area of Science:
- Condensed Matter Physics
- Materials Science
- Quantum Physics
Background:
- Higher-order topological insulators (TIs) possess unique surface states.
- These states feature helical modes localized at hinges where the surface gap changes sign.
- Inversion symmetry dictates the behavior of these helical modes under perturbations.
Purpose of the Study:
- Investigate the impact of time-reversal and particle-conservation-breaking perturbations on TI hinge modes.
- Analyze the effects of Zeeman fields and proximate superconductors on these helical modes.
- Explore the potential for creating and detecting novel topological states.
Main Methods:
- Theoretical analysis of helical modes in higher-order TIs.
- Modeling the influence of Zeeman fields and superconductivity.
- Proposing electrical transport measurements for topological state detection.
Main Results:
- Unlike inversion-symmetric TIs, hinge helical modes can remain gapless and spatially split under perturbations.
- A Zeeman field induces a chiral mode around the magnetized region.
- A proximate superconductor generates a helical Majorana mode around the superconducting region.
Conclusions:
- The combination of Zeeman fields and superconductivity can lead to a single, gapped chiral Majorana mode.
- These distinct topological states, including one-dimensional chiral Majorana modes, are potentially measurable through electrical transport experiments.
- This research opens avenues for exploring exotic quantum phenomena in topological materials.
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