Spectral properties of hyperbolic nanonetworks with tunable aggregation of simplexes

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dc.citation.issue1
dc.citation.rankM21
dc.citation.spage012309
dc.citation.volume100
dc.contributor.authorMitrović Dankulov, Marija
dc.contributor.authorTadić, Bosiljka
dc.contributor.authorMelnik, Roderick
dc.date.accessioned2024-06-25T10:27:01Z
dc.date.available2024-06-25T10:27:01Z
dc.date.issued2019-07-22
dc.description.abstractCooperative self-assembly is a ubiquitous phenomenon found in natural systems which is used for designing nanostructured materials with new functional features. Its origin and mechanisms, leading to improved functionality of the assembly, have attracted much attention from researchers in many branches of science and engineering. These complex structures often come with hyperbolic geometry; however, the relation between the hyperbolicity and their spectral and dynamical properties remains unclear. Using the model of aggregation of simplexes introduced by Šuvakov et al. [Sci. Rep. 8, 1987 (2018)2045-232210.1038/s41598-018-20398-x], here we study topological and spectral properties of a large class of self-assembled structures or nanonetworks consisting of monodisperse building blocks (cliques of size n=3,4,5,6) which self-assemble via sharing the geometrical shapes of a lower order. The size of the shared substructure is tuned by varying the chemical affinity ν such that for significant positive ν sharing the largest face is the most probable, while for ν<0, attaching via a single node dominates. Our results reveal that, while the parameter of hyperbolicity remains δmax=1 across the assemblies, their structure and spectral dimension ds vary with the size of cliques n and the affinity when ν≥0. In this range, we find that ds>4 can be reached for n≥5 and sufficiently large ν. For the aggregates of triangles and tetrahedra, the spectral dimension remains in the range ds [2,4), as well as for the higher cliques at vanishing affinity. On the other end, for ν<0, we find ds1.57 independently on n. Moreover, the spectral distribution of the normalized Laplacian eigenvalues has a characteristic shape with peaks and a pronounced minimum, representing the hierarchical architecture of the simplicial complexes. These findings show how the structures compatible with complex dynamical properties can be assembled by controlling the higher-order connectivity among the building blocks.
dc.identifier.doi10.1103/physreve.100.012309
dc.identifier.issn2470-0045
dc.identifier.issn2470-0053
dc.identifier.scopus2-s2.0-85070087632
dc.identifier.urihttps://pub.ipb.ac.rs/handle/123456789/137
dc.identifier.wos000476695600005
dc.language.isoen
dc.publisherAmerican Physical Society (APS)
dc.relation.ispartofPhysical Review E
dc.relation.ispartofabbrPhys. Rev. E
dc.rightsrestrictedAccess
dc.titleSpectral properties of hyperbolic nanonetworks with tunable aggregation of simplexes
dc.typeArticle
dc.type.versionpublishedVersion
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