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Fractional Angular Momentum at Topological Insulator Interfaces.

Flavio S Nogueira1,2, Zohar Nussinov3, Jeroen van den Brink1,4

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Area of Science:

  • Condensed matter physics
  • Topological quantum matter

Background:

  • Magnetic vortices at superconductor-topological insulator interfaces exhibit unique topological properties.
  • These vortices host Majorana zero modes for topological quantum computation and a fractional charge of e/4 due to the axion term.

Purpose of the Study:

  • To determine the angular momentum (J) of magnetic vortices at SC-TI interfaces.
  • To understand how this angular momentum influences the mutual statistics of the vortices.

Main Methods:

  • Solving the axion-London electrodynamic equations.
  • Incorporating screening effects in both the superconductor (SC) and topological insulator (TI).

Main Results:

  • The elementary quantum of angular momentum for these vortices is found to be -n^2ℏ/8.
  • Exchanging two elementary flux quanta results in a wave function phase shift of -π/4.

Conclusions:

  • The calculated angular momentum quantum provides insight into the statistical mechanics of magnetic vortices.
  • This finding is crucial for understanding and potentially utilizing these systems in topological quantum computation.