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Stability of Weyl Node Merging Processes under Symmetry Constraints.

Gabriele Naselli1, György Frank2, Dániel Varjas1,2,3

  • 1Institute for Theoretical Solid State Physics, <a href="https://ror.org/04zb59n70">IFW Dresden and Würzburg-Dresden Cluster of Excellence ct.qmat</a>, Helmholtzstr. 20, 01069 Dresden, Germany.

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Symmetries in Weyl semimetals enable complex merging of Weyl nodes. Counterintuitively, three-node merging is more common than two-node merging, suggesting broader applications in quantum materials.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials
  • Topological Materials

Background:

  • Weyl semimetals host Weyl nodes, whose number changes via merging processes.
  • Merging typically involves pairs of oppositely charged nodes, with complex multi-node mergers being less stable and requiring fine-tuning.

Purpose of the Study:

  • To investigate the influence of symmetries on Weyl node merging processes and their stability.
  • To focus on the combined effect of twofold rotation and time-reversal (C_{2}T) symmetry.

Main Methods:

  • Theoretical analysis of symmetry constraints on Weyl node merging.
  • Examination of multi-Weyl node merging processes.

Main Results:

  • Symmetries, specifically C_{2}T, allow for more generic multi-Weyl node merging.
  • Counterintuitively, three-node merging processes are found to be more generic than two-node merging.
  • Stability of merging processes is directly linked to the involved symmetries.

Conclusions:

  • Multi-Weyl node merging is not limited to fine-tuned scenarios and can be more generic under specific symmetries.
  • Quantum materials like SrSi_{2} and bilayer graphene are potential candidates for observing multi-Weyl merging.
  • The findings expand the understanding of topological phase transitions in quantum materials.