English

Topological polarization in disordered systems

Mathematical Physics 2022-10-19 v1 math.MP

Abstract

Deformations in piezoelectric materials lead to conduction effects, which are due to two contributions: the relative displacements of the ionic cores, and the so-called orbital polarization. This work is devoted to the rigorous derivation of the celebrated King-Smith and Vanderbilt formula for orbital polarization in a generalized setting that includes continuous random systems among others.

Keywords

Cite

@article{arxiv.2210.09860,
  title  = {Topological polarization in disordered systems},
  author = {Giuseppe De Nittis and Danilo Polo},
  journal= {arXiv preprint arXiv:2210.09860},
  year   = {2022}
}

Comments

22 pages. Keywords: Piezoelectricity, orbital polarization, King-Smith and Vanderbilt formula

R2 v1 2026-06-28T03:55:00.080Z