English

Probing (topological) Floquet states through DC transport

Mesoscale and Nanoscale Physics 2015-10-07 v2

Abstract

We consider the differential conductance of a periodically driven system connected to infinite electrodes. We focus on the situation where the dissipation occurs predominantly in these electrodes. Using analytical arguments and a detailed numerical study we relate the differential conductances of such a system in two and three terminal geometries to the spectrum of quasi-energies of the Floquet operator. Moreover these differential conductances are found to provide an accurate probe of the existence of gaps in this quasi-energy spectrum, being quantized when topological edge states occur within these gaps. Our analysis opens the perspective to describe the intermediate time dynamics of driven mesoscopic conductors as topological Floquet filters.

Keywords

Cite

@article{arxiv.1507.00152,
  title  = {Probing (topological) Floquet states through DC transport},
  author = {Michel Fruchart and Pierre Delplace and Joseph Weston and Xavier Waintal and David Carpentier},
  journal= {arXiv preprint arXiv:1507.00152},
  year   = {2015}
}

Comments

8 pages, 6 figures, invited contribution to the special issue of Physica E on "Frontiers in quantum electronic transport" in memory of Markus Buttiker