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PreprintCC BY 4.0arXiv

Second Chern Number Protected Gapless Vortex Modes in Superconducting Weyl Semimetals

  • Zhicheng Zhang
  • Jiangping Hu
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Abstract

We have studied the vortex bound states of superconducting linear and quadratic Weyl semimetals with time reversal symmetry. For vortex with vorticity n (vortex line along z direction) and Weyl semimetals with Weyl point chirality χ, there are | nχ| gapless vortex modes around the location of each Weyl point in superconducting Weyl semimetals. We show that the appearance of | nχ| gapless vortex modes originates from the imbalanced pumping of flux bound states between Chern insulators obtained at kz and −kz in Weyl semimetals. Such a physical picture is verified by numerical calculations on lattice models. Moreover, the gapless modes around each Weyl point can be characterized by the second Chern number defined in a synthetic four-dimensional space based on the effective BdG Hamiltonian. Finally, these gapless vortex modes are found to be robust against rotational symmetry-breaking terms.

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Cite

BibTeXRIS
BibTeX
@misc{zhang2026second,
  title = {{Second Chern Number Protected Gapless Vortex Modes in Superconducting Weyl Semimetals}},
  author = {Zhicheng Zhang and Jiangping Hu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.24401},
  eprint = {2610.24401},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.24401},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Second Chern Number Protected Gapless Vortex Modes in Superconducting Weyl Semimetals
AU  - Zhicheng Zhang
AU  - Jiangping Hu
PY  - 2026
DA  - 2026/10/17
PB  - arXiv
DO  - 10.48550/arxiv.2610.24401
UR  - https://arxiv.org/abs/2610.24401
AB  - We have studied the vortex bound states of superconducting linear and quadratic Weyl semimetals with time reversal symmetry. For vortex with vorticity n (vortex line along z direction) and Weyl semimetals with Weyl point chirality χ, there are | nχ| gapless vortex modes around the location of each Weyl point in superconducting Weyl semimetals. We show that the appearance of | nχ| gapless vortex modes originates from the imbalanced pumping of flux bound states between Chern insulators obtained at k_z and −k_z in Weyl semimetals. Such a physical picture is verified by numerical calculations on lattice models. Moreover, the gapless modes around each Weyl point can be characterized by the second Chern number defined in a synthetic four-dimensional space based on the effective BdG Hamiltonian. Finally, these gapless vortex modes are found to be robust against rotational symmetry-breaking terms.
ER  -