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. 2017 Jan 30;7:41472. doi: 10.1038/srep41472

Figure 2.

Figure 2

(a) Brillouin zone of a square lattice with the lines of high symmetry marked in bold. (b) Dispersion relation of the square lattice along high symmetry lines. Red and black ellipses show the areas of high and low dispersion, respectively. (c) Overlaid snap shots of a propagating magnon in a square-lattice, while the color axis is |ψ|2. Rapid transversal dispersion is apparent where the longitudinal dispersion is not noticeable at this distance. This is because the magnon was chosen with a y-momentum, which is in a low dispersion region, as marked in black in (b). (d) Magnon confined by the surface current-carrying wires for the same initial state as (c). Red arrows show the direction of the current in the wires and white lines represent wires (d = 20a, wg = 20a and εmin/J = 0.1). After the confinement there is no transverse spreading of the magnon.