Large-scale influence of defect bonds in geometrically constrained self-assembly

Area of Science:

• Physics
• Materials Science
• Network Science

Background:

• Higher-order interactions are crucial in quantum systems and nanoparticle assemblies.
• Existing models focus on geometrically constrained simplex aggregation for network growth.

Purpose of the Study:

• To extend simplex aggregation models by incorporating defects.
• To investigate the impact of defects on self-assembly and emergent network properties.
• To demonstrate defect-based control over material structure.

Main Methods:

• Utilized a chemically tunable self-assembly model for simplexes.
• Introduced defects (defect edges) into simplexes of varying sizes (up to 10-cliques).
• Employed algebraic topology to analyze network characteristics like treelike defect bonds, hyperbolic geometry, and simplicial complexes.

Main Results:

• Defects significantly impact self-assembly, leading to treelike defect bonds and hyperbolic geometry in simplicial complexes.
• Defect removal allows for post-growth structural modification of the assembly.
• Analysis revealed progressive changes in hierarchical architecture and hyperbolicity upon defect removal.

Conclusions:

• Defects can be strategically used to design and control the structure of self-assembled nanonetworks.
• This work offers insights into cooperative self-assembly and designing complex materials beyond pairwise interactions.