Abstract
Two non-perturbative numerically exact methods: exact diagonalization and quantum transfer matrix are applied to computationally complex Heisenberg-like spin models of ring shaped molecular nanomagnets and implemented in the high performance computing environment. These methods are applicable to the wide class of ring-shaped nanomagnets. For the hypothetical antiferromagnetic nanomagnet Ni\(_{12}\) the influence of single-ion anisotropy on the ground states is investigated. For Cr\(_8\) it is demonstrated that the alternation of the nearest-neighbor bilinear exchange couplings leads to small changes in the magnetic torque with respect to the uniformly coupled system. Specific heat and entropy for Cr\(_8\) are showed to be good indicators of crossing fields. The applicability of the Lande rule to both systems is checked.
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Acknowledgments
This work was supported in part by the MNiSW within the project No. N519 579138. Numerical calculations were carried out on the platforms of the Supercomputing and Networking Center in Poznań and of the Academic Computer Center in Gdańsk. Part of simulations was also performed on multicomputer pearl in Faculty of Physics at Adam Mickiewicz University.
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Kozłowski, P. et al. (2014). Non-perturbative Methods in Phenomenological Simulations of Ring-Shape Molecular Nanomagnets. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2013. Lecture Notes in Computer Science(), vol 8385. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55195-6_41
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