15 Topological Dynamics of Spin Texture Based Metamaterials
423
Fig. 15.15 a The sketch for parallelogram-shaped breathing kagome lattice of vortices. Arabic
numbers 1, 2 and 3 denote the position of spectrum analysis for bulk, edge, and corner states,
respectively. b Numerically computed eigenfrequencies for parallelogram-shaped system. The spatial distribution of vortices oscillation for the bulk [(c) and (f)], edge (d), and corner (e) states.
Images are taken from [126]
940 MHz, the spectrum for the corner has a very strong peak, which does not happen
for the edge and bulk. It can be inferred that this is the corner-state band with oscillations localized only at three corners. Similarly, one can identify the frequency range
which allows the bulk and edge states, as shown by shaded area with different colors
in Fig. 15.16a. Four representative frequencies are chosen to visualize the spatial
distribution of vortex oscillations for different modes: 940 MHz for the corner state,
842 MHz for the edge state, and both 769 MHz and 959 MHz for bulk states, and then
stimulate their dynamics by a sinusoidal magnetic field h(t) = h 0 sin(2π f t) ˆ
x with
423
Fig. 15.15 a The sketch for parallelogram-shaped breathing kagome lattice of vortices. Arabic
numbers 1, 2 and 3 denote the position of spectrum analysis for bulk, edge, and corner states,
respectively. b Numerically computed eigenfrequencies for parallelogram-shaped system. The spatial distribution of vortices oscillation for the bulk [(c) and (f)], edge (d), and corner (e) states.
Images are taken from [126]
940 MHz, the spectrum for the corner has a very strong peak, which does not happen
for the edge and bulk. It can be inferred that this is the corner-state band with oscillations localized only at three corners. Similarly, one can identify the frequency range
which allows the bulk and edge states, as shown by shaded area with different colors
in Fig. 15.16a. Four representative frequencies are chosen to visualize the spatial
distribution of vortex oscillations for different modes: 940 MHz for the corner state,
842 MHz for the edge state, and both 769 MHz and 959 MHz for bulk states, and then
stimulate their dynamics by a sinusoidal magnetic field h(t) = h 0 sin(2π f t) ˆ
x with