Figure 2 | Scientific Reports

Figure 2

From: Valley-polarized domain wall magnons in 2D ferromagnetic bilayers

Figure 2

(ad) Sample of the numerically calculated Berry curvatures for \(\in_{2}\) band in FBL with ED and DMI. The parameter choices are \(\left( {U = 0.1,\; D = 0.05J,\; v_{0} = 0.3} \right)\), \(\left( {U = 0.2,\; D = 0.05J,\; v_{0} = 0.2} \right)\), \(\left( {U = 0.2, \;D = 0.02J, \;v_{0} = 0.3} \right)\), and \(\left( {U = 0.1, D = 0.05J, v_{0} = 0.5} \right)\) respectively. The magnon spectra corresponding to these choices are topological, with Chern numbers \(\left[ {0, - 2, 1, 1} \right]\), \(\left[ { - 1, - 1, 1, 1} \right]\), \(\left[ {0, 0, - 1, 1} \right]\), and \(\left[ {0, - 2,0,2} \right]\) respectively. (e,f) present the temperature evolution of Hall (\(\kappa_{xy}\)) and Nernst (\(\alpha_{xy}^{s}\)) conductivities corresponding to the parameters in (a-d). Figures generated using Mathematica Software version 12 https://www.wolfram.com/mathematica/.

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