English

The polarization problem for the honeycomb structure

Classical Analysis and ODEs 2025-09-30 v1 Mathematical Physics math.MP

Abstract

We study the polarization problem in dimension 2 for the honeycomb structure and compare it to the maximal polarization lattice, the hexagonal lattice. As expected, the hexagonal lattice has higher polarization than the honeycomb at all densities.

Cite

@article{arxiv.2509.24687,
  title  = {The polarization problem for the honeycomb structure},
  author = {Markus Faulhuber},
  journal= {arXiv preprint arXiv:2509.24687},
  year   = {2025}
}

Comments

9 pages, 3 figures, 23 references

R2 v1 2026-07-01T06:04:22.936Z