TY  - JOUR
AU  - Tadić, Bosiljka
AU  - Anđelković, Miroslav
AU  - Šuvakov, Milovan
AU  - Rodgers, Geoff J.
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8930
AB  - Functional designs of nanostructured materials seek to exploit the potential of complex morphologies and disorder. In this context, the spin dynamics in disordered antiferromagnetic materials present a significant challenge due to induced geometric frustration. Here we analyse the processes of magnetisation reversal driven by an external field in generalised spin networks with higher-order connectivity and antiferromagnetic defects. Using the model in (Tadić et al. Arxiv:1912.02433), we grow nanonetworks with geometrically constrained self-assemblies of simplexes (cliques) of a given size n, and with probability p each simplex possesses a defect edge affecting its binding, leading to a tree-like pattern of defects. The Ising spins are attached to vertices and have ferromagnetic interactions, while antiferromagnetic couplings apply between pairs of spins along each defect edge. Thus, a defect edge induces n − 2 frustrated triangles per n-clique participating in a larger-scale complex. We determine several topological, entropic, and graph-theoretic measures to characterise the structures of these assemblies. Further, we show how the sizes of simplexes building the aggregates with a given pattern of defects affects the magnetisation curves, the length of the domain walls and the shape of the hysteresis loop. The hysteresis shows a sequence of plateaus of fractional magnetisation and multiscale fluctuations in the passage between them. For fully antiferromagnetic interactions, the loop splits into two parts only in mono-disperse assemblies of cliques consisting of an odd number of vertices n. At the same time, remnant magnetisation occurs when n is even, and in poly-disperse assemblies of cliques in the range n ∈ [ 2 , 10 ] . These results shed light on spin dynamics in complex nanomagnetic assemblies in which geometric frustration arises in the interplay of higher-order connectivity and antiferromagnetic interactions.
T2  - Entropy
T1  - Magnetisation Processes in Geometrically Frustrated Spin Networks with Self-Assembled Cliques
VL  - 22
IS  - 3
SP  - 336
DO  - 10.3390/e22030336
ER  - 

@article{
author = "Tadić, Bosiljka and Anđelković, Miroslav and Šuvakov, Milovan and Rodgers, Geoff J.",
year = "2020",
abstract = "Functional designs of nanostructured materials seek to exploit the potential of complex morphologies and disorder. In this context, the spin dynamics in disordered antiferromagnetic materials present a significant challenge due to induced geometric frustration. Here we analyse the processes of magnetisation reversal driven by an external field in generalised spin networks with higher-order connectivity and antiferromagnetic defects. Using the model in (Tadić et al. Arxiv:1912.02433), we grow nanonetworks with geometrically constrained self-assemblies of simplexes (cliques) of a given size n, and with probability p each simplex possesses a defect edge affecting its binding, leading to a tree-like pattern of defects. The Ising spins are attached to vertices and have ferromagnetic interactions, while antiferromagnetic couplings apply between pairs of spins along each defect edge. Thus, a defect edge induces n − 2 frustrated triangles per n-clique participating in a larger-scale complex. We determine several topological, entropic, and graph-theoretic measures to characterise the structures of these assemblies. Further, we show how the sizes of simplexes building the aggregates with a given pattern of defects affects the magnetisation curves, the length of the domain walls and the shape of the hysteresis loop. The hysteresis shows a sequence of plateaus of fractional magnetisation and multiscale fluctuations in the passage between them. For fully antiferromagnetic interactions, the loop splits into two parts only in mono-disperse assemblies of cliques consisting of an odd number of vertices n. At the same time, remnant magnetisation occurs when n is even, and in poly-disperse assemblies of cliques in the range n ∈ [ 2 , 10 ] . These results shed light on spin dynamics in complex nanomagnetic assemblies in which geometric frustration arises in the interplay of higher-order connectivity and antiferromagnetic interactions.",
journal = "Entropy",
title = "Magnetisation Processes in Geometrically Frustrated Spin Networks with Self-Assembled Cliques",
volume = "22",
number = "3",
pages = "336",
doi = "10.3390/e22030336"
}

Tadić, B., Anđelković, M., Šuvakov, M.,& Rodgers, G. J.. (2020). Magnetisation Processes in Geometrically Frustrated Spin Networks with Self-Assembled Cliques. in Entropy, 22(3), 336.
https://doi.org/10.3390/e22030336

Tadić B, Anđelković M, Šuvakov M, Rodgers GJ. Magnetisation Processes in Geometrically Frustrated Spin Networks with Self-Assembled Cliques. in Entropy. 2020;22(3):336.
doi:10.3390/e22030336 .

Tadić, Bosiljka, Anđelković, Miroslav, Šuvakov, Milovan, Rodgers, Geoff J., "Magnetisation Processes in Geometrically Frustrated Spin Networks with Self-Assembled Cliques" in Entropy, 22, no. 3 (2020):336,
https://doi.org/10.3390/e22030336 . .

TY  - JOUR
AU  - Tadić, Bosiljka
AU  - Šuvakov, Milovan
AU  - Anđelković, Miroslav
AU  - Rodgers, Geoff J.
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9683
AB  - Recently, the importance of higher-order interactions in the physics of quantum systems and nanoparticle assemblies has prompted the exploration of new classes of networks that grow through geometrically constrained simplex aggregation. Based on the model of chemically tunable self-assembly of simplexes [Šuvakov et al., Sci. Rep. 8, 1987 (2018)], here we extend the model to allow the presence of a defect edge per simplex. Using a wide distribution of simplex sizes (from edges, triangles, tetrahedrons, etc., up to 10-cliques) and various chemical affinity parameters, we investigate the magnitude of the impact of defects on the self-assembly process and the emerging higher-order networks. Their essential characteristics are treelike patterns of defect bonds, hyperbolic geometry, and simplicial complexes, which are described using the algebraic topology method. Furthermore, we demonstrate how the presence of patterned defects can be used to alter the structure of the assembly after the growth process is complete. In the assemblies grown under different chemical affinities, we consider the removal of defect bonds and analyze the progressive changes in the hierarchical architecture of simplicial complexes and the hyperbolicity parameters of the underlying graphs. Within the framework of cooperative self-assembly of nanonetworks, these results shed light on the use of defects in the design of complex materials. They also provide a different perspective on the understanding of extended connectivity beyond pairwise interactions in many complex systems.
T2  - Physical Review E
T1  - Large-scale influence of defect bonds in geometrically constrained self-assembly
VL  - 102
IS  - 3
SP  - 032307
DO  - 10.1103/PhysRevE.102.032307
ER  - 

@article{
author = "Tadić, Bosiljka and Šuvakov, Milovan and Anđelković, Miroslav and Rodgers, Geoff J.",
year = "2020",
abstract = "Recently, the importance of higher-order interactions in the physics of quantum systems and nanoparticle assemblies has prompted the exploration of new classes of networks that grow through geometrically constrained simplex aggregation. Based on the model of chemically tunable self-assembly of simplexes [Šuvakov et al., Sci. Rep. 8, 1987 (2018)], here we extend the model to allow the presence of a defect edge per simplex. Using a wide distribution of simplex sizes (from edges, triangles, tetrahedrons, etc., up to 10-cliques) and various chemical affinity parameters, we investigate the magnitude of the impact of defects on the self-assembly process and the emerging higher-order networks. Their essential characteristics are treelike patterns of defect bonds, hyperbolic geometry, and simplicial complexes, which are described using the algebraic topology method. Furthermore, we demonstrate how the presence of patterned defects can be used to alter the structure of the assembly after the growth process is complete. In the assemblies grown under different chemical affinities, we consider the removal of defect bonds and analyze the progressive changes in the hierarchical architecture of simplicial complexes and the hyperbolicity parameters of the underlying graphs. Within the framework of cooperative self-assembly of nanonetworks, these results shed light on the use of defects in the design of complex materials. They also provide a different perspective on the understanding of extended connectivity beyond pairwise interactions in many complex systems.",
journal = "Physical Review E",
title = "Large-scale influence of defect bonds in geometrically constrained self-assembly",
volume = "102",
number = "3",
pages = "032307",
doi = "10.1103/PhysRevE.102.032307"
}

Tadić, B., Šuvakov, M., Anđelković, M.,& Rodgers, G. J.. (2020). Large-scale influence of defect bonds in geometrically constrained self-assembly. in Physical Review E, 102(3), 032307.
https://doi.org/10.1103/PhysRevE.102.032307

Tadić B, Šuvakov M, Anđelković M, Rodgers GJ. Large-scale influence of defect bonds in geometrically constrained self-assembly. in Physical Review E. 2020;102(3):032307.
doi:10.1103/PhysRevE.102.032307 .

Tadić, Bosiljka, Šuvakov, Milovan, Anđelković, Miroslav, Rodgers, Geoff J., "Large-scale influence of defect bonds in geometrically constrained self-assembly" in Physical Review E, 102, no. 3 (2020):032307,
https://doi.org/10.1103/PhysRevE.102.032307 . .