Open access
Date
2018-03Type
- Journal Article
Abstract
Floquet topological insulators describe independent electrons on a lattice driven out of equilibrium by a time-periodic Hamiltonian, beyond the usual adiabatic approximation. In dimension two, such systems are characterized by integer-valued topological indices associated with the unitary propagator, alternatively in the bulk or at the edge of a sample. In this paper, we give new definitions of the two indices, relying neither on translation invariance nor on averaging, and show that they are equal. In particular, weak disorder and defects are intrinsically taken into account. Finally, indices can be defined when two driven samples are placed next to one another either in space or in time and then shown to be equal. The edge index is interpreted as a quantized pumping occurring at the interface with an effective vacuum. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000317129Publication status
publishedExternal links
Journal / series
Annales Henri PoincaréVolume
Pages / Article No.
Publisher
SpringerOrganisational unit
03355 - Graf, Gian Michele / Graf, Gian Michele
Notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.More
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