Magnetisation Processes in Geometrically Frustrated Spin Networks with Self-Assembled Cliques
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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. W...e 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.
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Entropy, 2020, 22, 3, 336-Funding / projects:
- Ministry of Education, Science and Technological Development of the Republic of Serbia
- Slovenian Research Agency - Slovenia [P1-0044]
DOI: 10.3390/e22030336
ISSN: 1099-4300
PubMed: 33286110
WoS: 000526524300113
Scopus: 2-s2.0-85082678416
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VinčaTY - 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 . .