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Related Experiment Video

Updated: Sep 12, 2025

Indirect Fabrication of Lattice Metals with Thin Sections Using Centrifugal Casting

Indirect Fabrication of Lattice Metals with Thin Sections Using Centrifugal Casting

Published on: May 14, 2016

Lattice materials with topological states optimized on demand.

Pegah Azizi¹, Rahul Dev Kundu², Weichen Li²

¹Department of Civil, Environmental, and Geo- Engineering, University of Minnesota, Minneapolis, MN 55455.

Proceedings of the National Academy of Sciences of the United States of America

|August 5, 2025

Summary

Researchers developed a new method to discover and create topological metamaterials for advanced wave manipulation. This approach uses topological quantum chemistry and topology optimization to engineer elastic lattices with desired topological properties.

Keywords:

mechanical metamaterials topological mechanical topology optimization vibrometry testing wave control

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Last Updated: Sep 12, 2025

Indirect Fabrication of Lattice Metals with Thin Sections Using Centrifugal Casting

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Fabrication of Spatially Confined Complex Oxides

Fabrication of Spatially Confined Complex Oxides

Published on: July 1, 2013

Area of Science:

Condensed Matter Physics
Materials Science
Acoustics

Background:

Topological states of matter, initially found in quantum systems, offer novel wave manipulation capabilities.
Realizing topological effects in elastic media necessitates identifying specific lattice structures supporting topological bands.
A significant gap exists between theoretically predicted topological states and their physical realization.

Purpose of the Study:

To present a systematic and efficient strategy for discovering metamaterials with specific topological states.
To bridge the gap between theoretical topological states and their practical realization in elastic media.
To enable the on-demand engineering of topological elastic lattices.

Main Methods:

Utilizing topological quantum chemistry to classify topological states based on symmetry properties at key wavevectors.
Translating topological character into computationally efficient objectives for topology optimization algorithms.
Incorporating phonon band structure morphology constraints into topology optimization and subsequent fabrication.

Main Results:

A novel strategy for the automated discovery of topological metamaterials.
Demonstration that topological classification can be simplified to band structure morphology for certain symmetries.
Successful physical realization of designed metamaterials with targeted topological properties.

Conclusions:

The developed methodology enables the systematic and efficient discovery of topological metamaterials.
This approach addresses the bottleneck in realizing topological states in elastic media.
Establishes a paradigm for on-demand engineering of topological elastic lattices and creating a database of configurations.