Zak Phase Dislocations in Trimer Lattices
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912622108999680 |
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| author | Uakhitov, Tileubek Urmanov, Abdybek Kumekov, Serik E. Desyatnikov, Anton S. |
| author_facet | Uakhitov, Tileubek Urmanov, Abdybek Kumekov, Serik E. Desyatnikov, Anton S. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_15894 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Zak Phase Dislocations in Trimer Lattices Uakhitov, Tileubek Urmanov, Abdybek Kumekov, Serik E. Desyatnikov, Anton S. Optics Mesoscale and Nanoscale Physics 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. |
| title | Zak Phase Dislocations in Trimer Lattices |
| topic | Optics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2509.15894 |