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  • 2 d Fu–Kane–Mele invariant ...
    Gawȩdzki, Krzysztof

    Letters in mathematical physics, 01/2017, Volume: 107, Issue: 4
    Journal Article

    We show that the Fu–Kane–Mele invariant of the 2d time-reversal invariant crystalline insulators is equal to the properly normalized Wess–Zumino action of the so-called sewing-matrix field defined on the Brillouin torus. Applied to 3d, the result permits a direct proof of the known relation between the strong Fu–Kane–Mele invariant and the Chern–Simons action of the non-Abelian Berry connection on the bundle of valence states.