Probing (topological) Floquet states through DC transport

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.

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

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Cited by in corpus (16)

• Tkwant: a software package for time-dependent quantum transport
• A computational study of two-terminal transport of Floquet quantum Hall insulators
• Strongly Disordered Floquet Topological Systems
• Topological Signatures in Quantum Transport in Anomalous Floquet-Anderson Insulators
• Towards Realistic Time-Resolved Simulations of Quantum Devices
• Ballistic transport through irradiated graphene
• Electronic transport in one-dimensional Floquet topological insulators via topological and nontopological edge states
• Robustness of quantized transport through edge states of finite length: Imaging current density in Floquet topological vs. quantum spin and anomalous Hall insulators
• Non-adiabatic bulk-surface oscillations in driven topological insulators
• Tunable valley filtering in dynamically strained $\alpha$-${\mathcal{T}}_3$ lattices
• Transport signatures of symmetry protection in 1D Floquet topological insulators
• Floquet Graphene Antidot Lattices
• Transport through vertical graphene contacts under intense laser fields
• Transport properties of vertical heterostructures under light irradiation
• Relation between scattering matrix topological invariants and conductance in Floquet Majorana systems
• Photocurrent and photoconductance of an helical edge state