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The lifetime of antiskyrmions at room temperature in a Mn-Pt-Sn tetragonalHeusler material has been calculated using an atomic scale representationincluding nearly a million spins. The evaluation of the pre-exponential factorin the Arrhenius rate expression for this large system is made possible by animplementation of harmonic transition state theory that avoids evaluation ofthe eigenvalues of the Hessian matrix.The parameter values in the extendedHeisenberg Hamiltonian, including anisotropic Dzyaloshinskii-Moriyainteraction, are chosen to reproduce experimental observations [A. K. Nayak$\it{et\,al.}$, Nature $\textbf{548}$, 561 (2017)], in particular the 150 nmdiameter. The calculated results are consistent with the long lifetime observedin the laboratory and this exceptional stability of the antiskyrmions is foundto result from large activation energy for collapse due to strong exchangecoupling while the pre-exponential factor in the Arrhenius expression for thelifetime is found to have a typical magnitude of 10$^{-12}$ s, despite thelarge number of spins. The long lifetime is, therefore, found to result fromenergetic effects rather than entropic effects in this system.

Stability of Long-lived Antiskyrmions in Mn-Pt-Sn Material