Fig. 6: Comparison of the numerical band-dispersion with the analytical model. | Nature Communications

Fig. 6: Comparison of the numerical band-dispersion with the analytical model.

From: Cubic 3D Chern photonic insulators with orientable large Chern vectors

Fig. 6

Extracting the coefficients of the analytical kp model in the vicinity of R. Here, we are considering an extrapolation of the model at a distance of δk = 0.008 from R. The empty circles are for numerical computed bands v1,2,3 while the lines for the analytical dispersion w1,2,3. a In presence of TRS, we conclude that b0 = −2.9a0 > 0. b In a weak field η = 0.5, we obtain that α0 ~ − β0 since the third band does not move in energy and α0 ~ 0 since the vertical displacement of the two lowest degenerate modes is equal and opposite. Weyl points appear at positions: \({k}_{z}^{\pm }=\pm \sqrt{\frac{| {\delta }_{0}{B}_{z}| }{{b}_{0}}}\), which here is at \({k}_{z}^{\pm }=\pm \! 0.004\). The δ0Bz > 0 and δ0Bz < 0 cases are equivalent upon reversing the two lowest photonic modes. Source data are provided as a Source Data file.

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