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Non-orientable order and non-commutative response in frustrated metamaterials
Xiaofei Guo1,2, Marcelo Guzmán3, David Carpentier4
1Institute of Physics, Universiteit van Amsterdam, Amsterdam, the Netherlands. x.guo2@uva.nl.
Nature
|June 14, 2023
Summary
Researchers discovered non-orientable order in frustrated materials, revealing a new type of topological order. This finding challenges existing physics paradigms and offers novel applications in metamaterials for information storage.
Area of Science:
- Physics
- Materials Science
- Topology
Background:
- Spontaneous symmetry breaking explains order in nature but is challenged by geometrical frustration.
- Frustrated systems exhibit complex, degenerate ground states, defying traditional phase ordering theories.
Purpose of the Study:
- To uncover a new form of topological order in globally frustrated matter.
- To demonstrate and characterize non-orientable order in designed metamaterials.
- To explore the potential of non-orientable order for information storage and novel responses.
Main Methods:
- Experimental design of globally frustrated metamaterials.
- Computational simulations and theoretical modeling.
- Generalization of elasticity theory to non-orientable order-parameter bundles.
Main Results:
- Discovery of non-orientable order in frustrated metamaterials that break discrete symmetry.
- Observation of heterogeneous and extensively degenerate equilibria.
- Demonstration that non-orientable order applies to non-orientable objects like Möbius strips.
- Engineering of topologically protected mechanical memories and non-commutative responses.
Conclusions:
- Non-orientable order represents a novel topological order in frustrated systems.
- This order leads to degenerate equilibria due to topologically protected nodes and lines.
- Non-orientable metamaterials offer a robust principle for information storage across various scientific fields.
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