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We demonstrate that a superconducting strip on a 2D electron gas creates a tunable topological superconducting gap. This enables robust Majorana zero modes for protected non-Abelian braiding operations without fine-tuning.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials
  • Topological Superconductivity

Background:

  • Quantum Hall regime in a two-dimensional electron gas (2DEG) with Zeeman field at filling factor ν=1.
  • Spin-orbit coupling is crucial for the observed phenomena.

Purpose of the Study:

  • Investigate the creation of topological superconducting gaps.
  • Explore the properties and tunability of these gaps.
  • Demonstrate the potential for protected quantum operations.

Main Methods:

  • Contacting a 2DEG with an s-wave superconductor strip.
  • Analyzing crossed Andreev reflection (CAR) processes.
  • Theoretical modeling of topological gap formation and Majorana zero modes.

Main Results:

  • A topological superconducting gap is induced along the superconductor-2DEG contact.
  • The gap's sign is controlled by CAR amplitude, tunable via Fermi wavelength and strip width.
  • A π junction with opposite topological gaps hosts robust Majorana zero modes.

Conclusions:

  • The proposed system allows for externally controlled topological superconductivity.
  • Robust Majorana zero modes are realized in a configuration suitable for quantum computation.
  • Protected non-Abelian tunnel-braid operations are achievable without fine-tuning.