Zak Phase Dislocations in Trimer Lattices
Abstract
Wave propagation in periodic media is governed by energy-momentum relation and geometric phases characterizing band topology, such as Zak phase in one-dimensional lattices. We demonstrate that in the off-diagonal trimer lattices Zak phase carries quantized screw-type dislocations winding around degeneracies in parameter space. If the lattice evolves in time periodically, as in adiabatic Thouless pump, corresponding closed trajectory in parameter space is characterized by a Chern number equal the negative total winding number of Zak phase dislocations enclosed by the trajectory. We discuss correspondence between bulk Chern numbers and the edge-states in a finite system evolving along various pumping cycles.
Keywords
Cite
@article{arxiv.2509.15894,
title = {Zak Phase Dislocations in Trimer Lattices},
author = {Tileubek Uakhitov and Abdybek Urmanov and Serik E. Kumekov and Anton S. Desyatnikov},
journal= {arXiv preprint arXiv:2509.15894},
year = {2025}
}
Comments
14 pages, 6 figures, to appear in Symmetry (2025)