an:06546786
Zbl 1331.82065
Carpentier, D.; Delplace, P.; Fruchart, M.; Gaw??dzki, K.; Tauber, C.
Construction and properties of a topological index for periodically driven time-reversal invariant 2D crystals
EN
Nucl. Phys., B 896, 779-834 (2015).
00353100
2015
j
82D25
time-reversal; quasienergy gaps; quasienergy bands
Summary: We present mathematical details of the construction of a topological invariant for periodically driven two-dimensional lattice systems with time-reversal symmetry and quasienergy gaps, which was proposed recently by some of us. The invariant is represented by a gap-dependent \(\mathbb{Z}_2\)-valued index that is simply related to the Kane-Mele invariants of quasienergy bands but contains an extra information. As a byproduct, we prove new expressions for the two-dimensional Kane-Mele invariant relating the latter to Wess-Zumino amplitudes and the boundary gauge anomaly.