Year: 2026
Type: preprint
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 $\vert nχ\vert$ gapless vortex modes around the location of each Weyl point in superconducting Weyl semimetals. We show that the appearance of $\vert nχ\vert$ 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.
Source: arXiv (Cornell University)
Authors: Zhang, Zhicheng, Hu, Jiangping
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G5080628511, G6875664129, G7009240411
OpenAlex ID: W7223008393