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Wavefront dislocations reveal insulator topology

Abstract : Phase singularities appear ubiquitously in wavefields, regardless of the wave equation. Such topological defects are evidenced by wavefront dislocations, as observed in a humongous number of classical wave experiments. Phase singularities of wavefunctions are also at the heart of the topological classification of the gapped phases of matter. Despite identical singular features, topological insulators and topological defects in waves remain two distinct fields. Using an array of coupled microwave resonators arranged in a dimerized chain, we experimentally observe a wavefront dislocation -- a 2D phase singularity -- in the local density of states when the system undergoes a topological phase transition. We show theoretically that the change in the number of interference fringes at the transition reveals the topological index that characterizes the band topology in 1D insulators.
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https://hal.archives-ouvertes.fr/hal-03259570
Contributor : Matthieu Bellec Connect in order to contact the contributor
Submitted on : Monday, November 23, 2020 - 9:05:59 PM
Last modification on : Thursday, November 11, 2021 - 6:54:04 PM
Long-term archiving on: : Thursday, February 25, 2021 - 1:40:05 PM

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2006.08556.pdf
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  • HAL Id : hal-03259570, version 1
  • ARXIV : 2006.08556

Citation

C. Dutreix, Matthieu Bellec, P. Delplace, F. Mortessagne. Wavefront dislocations reveal insulator topology. 2020. ⟨hal-03259570v1⟩

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