# Construction and properties of a topological index for periodically driven time-reversal invariant 2D crystals

@inproceedings{Carpentier2015ConstructionAP, title={Construction and properties of a topological index for periodically driven time-reversal invariant 2D crystals}, author={David Carpentier and Pierre Delplace and Michel Fruchart and Krzysztof Gawkedzki and Cl'ement Tauber}, year={2015} }

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 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… CONTINUE READING

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#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 48 REFERENCES

## Anomalous edge states and the bulk-edge correspondence for periodically-driven two dimensional systems

VIEW 10 EXCERPTS

HIGHLY INFLUENTIAL

## Z2 topological order and the quantum spin Hall effect.

VIEW 6 EXCERPTS

HIGHLY INFLUENTIAL

## WZW BRANES AND GERBES

VIEW 6 EXCERPTS

HIGHLY INFLUENTIAL

## Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems.

VIEW 1 EXCERPT

HIGHLY INFLUENTIAL

## Topological insulators and superconductors: tenfold way and dimensional hierarchy

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## Photovoltaic Hall effect in graphene

VIEW 1 EXCERPT

HIGHLY INFLUENTIAL

## Topological insulators with inversion symmetry

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## Topological invariants of time-reversal-invariant band structures

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## Time Reversal Polarization and a Z 2 Adiabatic Spin Pump

VIEW 5 EXCERPTS

HIGHLY INFLUENTIAL