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Quantized Circulation of Anomalous Shift in Interface Reflection.

Ying Liu1,2, Zhi-Ming Yu2,3, Cong Xiao4

  • 1School of Materials Science and Engineering, Hebei University of Technology, Tianjin 300130, China.

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A novel quantized circulation of anomalous shift (CAS) reveals topological properties of materials. This robust feature in particle beam reflection can distinguish Weyl media and superconductors, offering new probing methods.

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Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Topological materials

Background:

  • Particle beams exhibit anomalous spatial shifts upon reflection at interfaces.
  • These shifts form vector fields in momentum space, typically sensitive to system specifics.

Purpose of the Study:

  • To demonstrate that the integral of the anomalous shift vector (circulation) can yield a robust quantized number.
  • To show that this quantized circulation of anomalous shift (CAS) can manifest the topological character of a medium.
  • To explore CAS as a method for probing topological features in Weyl media and superconductors.

Main Methods:

  • Theoretical analysis of particle beam reflection at interfaces.
  • Calculation of the anomalous spatial shift vector field in momentum space.
  • Integration of the shift vector along closed loops to compute circulation.

Main Results:

  • The circulation of the anomalous spatial shift can yield a robust quantized number under specific conditions.
  • When incident from a trivial medium, CAS directly reflects the topological character of the interface medium.
  • CAS successfully captures and distinguishes the topological charge of Weyl media and unconventional pair potentials in superconductors.

Conclusions:

  • CAS unveils a hidden quantized feature in the ubiquitous process of particle beam reflection.
  • This quantized number provides a robust method for characterizing topological media.
  • CAS offers a new approach for probing the topological properties of materials like Weyl media and superconductors.