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On quantifying the topological charge in micromagnetics using a lattice-based approach

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Academic year: 2021

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Figure

Figure 2. Lattice scheme for computing the topological charge. (a) Two signed triangles,q 124 andq 234 , make up the unit cell.
Figure 4 presents Q(t) and snapshots of the micromagnetic state. Four different cell sizes are considered to test the relative accuracy of equation ( 1 ) with respect to equations ( 2 ) and ( 3 )
Figure 4. Generation of skyrmion-antiskyrmion pairs due to spin-transfer torques.Q(t) in a 1000×125×0.6 nm track, with differentfinite difference discretisation in thefilm plane: (a) 1024×128, (b)768×96, (c)512×64, and(d)384×48 cells
Figure 5. Comparison of Q(t) computed with equation (1) (‘ derivative ’)and with equations (2) and(3) (‘ lattice ’) at different temperatures: (a), (b)100 K, (c), (d)200 K, (e), (f) 300 K, and(g), (h) 400 K

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