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Phys Rev Lett. 2019 Feb 15;122(6):066602. doi: 10.1103/PhysRevLett.122.066602.

Fermi-Arc-Induced Vortex Structure in Weyl Beam Shifts.

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Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371, Singapore.
Institute of High Performance Computing, A*STAR, Singapore 138632, Singapore.
Centre for Disruptive Photonic Technologies, Nanyang Technological University, Singapore 637371, Singapore.


In periodic media, despite the close relationship between geometrical effects in the bulk and topological surface states, the two are typically probed separately. We show that when beams in a Weyl medium reflect off an interface with a gapped medium, the trajectory is influenced by both bulk geometrical effects and the Fermi arc surface states. The reflected beam experiences a displacement, analogous to the Goos-Hänchen or Imbert-Fedorov shifts, that forms a half-vortex in the two-dimensional surface momentum space. The half-vortex is centered where the Fermi arc of the reflecting surface touches the Weyl cone, with the magnitude of the shift scaling as an inverse square root away from the touching point, and diverging at the touching point. This striking feature provides a way to use bulk transport to probe the topological characteristics of a Weyl medium.

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