A statistical approach is presented to estimate the stability of magnetic states of nano- and microstructures to thermal fluctuations and random external actions. It implies the construction of the multidimensional energy surface of a system, search for the minimum energy paths between locally stable states on this surface, and calculation of rates of magnetic transitions between corresponding magnetic configurations at arbitrary temperatures in the harmonic approximation of the transition state theory. Lifetimes of quasi-two-dimensional topologically protected magnetic structures have been studied. The effect of magnetic characteristics of a medium limited by the geometry of a sample, nonmagnetic defects, and external magnetic field on the lifetimes of topological magnetic states has been shown.
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Funding
This work was supported in part by the Russian Foundation for Basic Research (project nos. 18-02-00267-A and 19-32-90048-Aspiranty), by the Foundation for the Advancement of Theoretical Physics and Mathematics BASIS (project no. 19-1-1-12-1,2), and jointly by the Russian Science Foundation and Helmholtz Foundation (project no. 19-42-06302, development of methods of the calculation of lifetimes of magnetic states for systems with millions of degrees of freedom).
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Lobanov, I.S., Potkina, M.N. & Uzdin, V.M. Stability and Lifetimes of Magnetic States of Nano- and Microstructures (Brief Review). Jetp Lett. 113, 801–813 (2021). https://doi.org/10.1134/S0021364021120109
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DOI: https://doi.org/10.1134/S0021364021120109