How to determine the parity eigenvalues of time-reversal invariant momenta point from first principle calculation when we judge topological insulator?
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This isThis is a question of topological insulator. Liang Fu and C. L. Kane proposed a method to judge whether an inversion symmetric insulator is a topological insulator or not in their article(L. Fu and C.L. Kane, Phys. Rev. B 76, 045302 (2007)). The method is just to determine the parity of the occupied band eigenstates at the eight or four(in two dimensions) time-reversal invariant momenta Γiin the Brillouin zone. The Z2 invariant is determined by quantity δi=∏m=1Nξ2m(Γi) Where ξ2m(Γi)is the parity eigenvalue of 2m band at Γi point. My question is how to determine the parity of band state at these points from first principle band calculation(like Wien2K band calculation)? a question of
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