Fig. 2: InTe as a mirror Chern insulator.
a The Wannier charge centers (WCC) flow for the Mx-invariant \({k}_{x}=0\) plane of the γ-phase. The WCC flows for (b) the Mx-invariant \({k}_{x}=0\) plane and (c) the Mz-invariant \({k}_{z}=0\) plane of the ε-phase. The red and blue dots represent the flow of WCCs for the +i and -i mirror eigensectors, respectively. The γ-phase possesses a nontrivial mirror Chern number \({C}_{{M}_{x}}=+1\), whereas the ε-phase, which has two mirror planes, possesses \({C}_{{M}_{x}}=+1\) and \({C}_{{M}_{z}}=-1\). Energy spectra for the armchair surface of the γ-phase (d) without (B = 0) and (e–g) with (B ≠0) the Zeeman perturbation. (h–k) Those of the ε-phase with the \({M}_{z}\) mirror plane (h) without (B = 0) and (i-k) with (B ≠0) the Zeeman perturbation. In (e–g), the gap is open for all applied field directions. In (h–k), the \({M}_{z}\) mirror symmetry protects the gapless Dirac surface states from gap opening when the field is applied along the \(z\) direction, whereas the gap is open for the other two field directions. l Surface Brillouin zone for the armchair surface. m Spin texture along the constant energy contour at the energy cut marked with a yellow line in (h). The size of the arrows and different colors, as given in the color scale bar, indicate the strengths of the in-plane and out-of-plane spin components, respectively.
