Article

Emergence of an enslaved phononic bandgap in a non-equilibrium pseudo-crystal

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Abstract

Material systems that reside far from thermodynamic equilibrium have the potential to exhibit dynamic properties and behaviours resembling those of living organisms. Here we realize a non-equilibrium material characterized by a bandgap whose edge is enslaved to the wavelength of an external coherent drive. The structure dynamically self-assembles into an unconventional pseudo-crystal geometry that equally distributes momentum across elements. The emergent bandgap is bestowed with lifelike properties, such as the ability to self-heal to perturbations and adapt to sudden changes in the drive. We derive an exact analytical solution for both the spatial organization and the bandgap features, revealing the mechanism for enslavement. This work presents a framework for conceiving lifelike non-equilibrium materials and emphasizes the potential for the dynamic imprinting of material properties through external degrees of freedom.

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Acknowledgements

The experimental part of this work is supported by the Office of Naval Research (ONR) MURI program under Grant No. N00014-13-1-0631; the numerical calculation and energy analysis is supported by the ‘Light-Material Interactions in Energy Conversion’ Energy Frontier Research Center funded by the US Department of Energy, Office of Science, Office of Basic Energy Sciences under Award Number DE-AC02-05CH11231.

Author information

Author notes

    • Nicolas Bachelard
    •  & Chad Ropp

    These authors contributed equally to this work.

Affiliations

  1. NSF Nanoscale Science and Engineering Center, 3112 Etcheverry Hall, University of California, Berkeley, California 94720, USA

    • Nicolas Bachelard
    • , Chad Ropp
    • , Marc Dubois
    • , Rongkuo Zhao
    • , Yuan Wang
    •  & Xiang Zhang
  2. Materials Sciences Division, Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, California 94720, USA

    • Yuan Wang
    •  & Xiang Zhang
  3. Department of Physics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

    • Xiang Zhang

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Contributions

N.B. and C.R. designed and conducted experiments and performed the theoretical investigation; M.D. performed COMSOL simulations; R.Z. provided theoretical guidance; X.Z. and Y.W. guided the research. All authors contributed to writing the manuscript.

Competing interests

The authors declare no competing financial interests.

Corresponding author

Correspondence to Xiang Zhang.

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