Fig. 5: Topological characterization via Wilson loops. | Nature Communications

Fig. 5: Topological characterization via Wilson loops.

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

Fig. 5

Wilson loops for the system in the Weyl semimetal phase (in blue) and in the cubic 3D CzI phase (in red). Each θ eigenvalue of the WL is related to the WEC in terms of the i-th lattice parameter ai by 2πWECn,i ≡ aiθn,i, with ai = a and ai = Na for the WS and the 3D CI respectively. a, b Individual photonic WECs: flow in the kx direction on a selected fixed kz plane, for each of the bands lying below the local gap. c, d Net photonic WEC flow, obtained by summing up the contribution of the individual WECs shown in the above panels: the net winding appears now clearly. Source data are provided as a Source Data file.

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