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Magnetic Normal Mode Calculations In Big Systems: A Highly Scalable Dynamical Matrix Approach Applied To A Fibonacci-Distorted Artificial Spin Ice, Loris Giovannini, Barry W. Farmer, Justin S. Woods, Ali Frotanpour, Lance E. De Long, Federico Montoncello

Physics and Astronomy Faculty Publications

We present a new formulation of the dynamical matrix method for computing the magnetic normal modes of a large system, resulting in a highly scalable approach. The motion equation, which takes into account external field, dipolar and ferromagnetic exchange interactions, is rewritten in the form of a generalized eigenvalue problem without any additional approximation. For its numerical implementation several solvers have been explored, along with preconditioning methods. This reformulation was conceived to extend the study of magnetization dynamics to a broader class of finer-mesh systems, such as three-dimensional, irregular or defective structures, which in recent times raised the interest among …