English

Hall conductivity pump

Mesoscale and Nanoscale Physics 2023-09-26 v1 Strongly Correlated Electrons High Energy Physics - Theory

Abstract

The Thouless charge pump represents a transfer of electric charge through a gapped one-dimensional system between its zero-dimensional boundaries under a periodic change of a parameter. The value of the passed charged during a single cycle is known to be a topological invariant. We construct an analogous topological invariant that measures a pump of Hall conductance inside of three-dimensional material between its two-dimensional boundaries.

Cite

@article{arxiv.2309.14332,
  title  = {Hall conductivity pump},
  author = {Lev Spodyneiko},
  journal= {arXiv preprint arXiv:2309.14332},
  year   = {2023}
}

Comments

22 pages

R2 v1 2026-06-28T12:31:53.183Z