Majorana zero modes in half-quantum vortices of pair density wave superconductors

@misc{sun2026majorana,
  title = {{Majorana zero modes in half-quantum vortices of pair density wave superconductors}},
  author = {Xinyu Sun and Hong Yao},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.28636},
  eprint = {2609.28636},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.28636},
}

TY  - UNPB
TI  - Majorana zero modes in half-quantum vortices of pair density wave superconductors
AU  - Xinyu Sun
AU  - Hong Yao
PY  - 2026
DA  - 2026/09/23
PB  - arXiv
DO  - 10.48550/arxiv.2609.28636
UR  - https://arxiv.org/abs/2609.28636
AB  - Pair-density-wave (PDW) superconductors admit half-quantum vortices that can bind Majorana zero modes, but whether such defects are energetically stabilized in microscopic models remains unclear. We address this question in a spinless honeycomb-lattice model with a PDW phase. Microscopic Hartree-Fock calculations determine the superfluid stiffness ρ and PDW relative-phase stiffness κ, and show that κ/ρ approaches unity near the continuous PDW--Dirac-semimetal transition, strongly reducing the long-wavelength cost of vortex fractionalization. Combining this with microscopically extracted Ginzburg--Landau couplings, we show that vortex-core energetics favor fractionalization, producing a strongly enhanced splitting scale and a field-driven full-vortex--to--half-vortex lattice transition. We determine the resulting two-flavor half-vortex lattice structure and construct the associated Majorana lattice. Majorana hybridization produces geometry- and flux-dependent bands with Dirac nodes and zero-energy Fermi lines. Together, these results establish a microscopic route from PDW superconductivity to field-induced half-vortex and Majorana lattices.
ER  -