construction and properties of a topological index for periodically driven time-reversal invariant 2d crystals
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ID: 187764
2015
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Abstract
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 Z2-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.
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carpentier2015nuclearconstruction
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| Authors | ;D. Carpentier;P. Delplace;M. Fruchart;K. Gawędzki;C. Tauber |
| Journal | biology and fertility of soils |
| Year | 2015 |
| DOI |
10.1016/j.nuclphysb.2015.05.009
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