Zak-Phase Dislocations in Trimer Lattices
Uakhitov T. Urmanov A. Kumekov S.E. Desyatnikov A.S.
October 2025Multidisciplinary Digital Publishing Institute (MDPI)
Symmetry
2025#17Issue 10
Wave propagation in periodic media is governed by energy–momentum relations 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 pumps, the corresponding closed trajectory in parameter space is characterized by a Chern number equal to the negative total winding number of Zak phase dislocations enclosed by the trajectory. We discuss the correspondence between bulk Chern numbers and the edge states in a finite system evolving along various pumping cycles.
edge state , geometric phase , phase dislocation , topological lattice
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Department of Physics, School of Sciences and Humanities, Nazarbayev University, 53 Kabanbay Batyr Ave., Astana, 01000, Kazakhstan
Department of Engineering Physics, Satbayev Kazakh National Technical University, 22a Satbayev Str., Almaty, 050000, Kazakhstan
Department of Physics
Department of Engineering Physics
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