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Probing (topological) Floquet states through DC transport
Institution:1. Laboratoire de Physique de l''École Normale Supérieure de Lyon, UMR CNRS 5672, 46 Allée d''Italie, 69007 Lyon, France;2. CEA/Université Grenoble Alpes, INAC-SPSMS, F-38000 Grenoble, France;1. Graduate School of Information Science and Electrical Engineering, Kyushu University, 744 Motooka, Fukuoka 819-0395, Japan;2. Department of Information Electronics, Fukuoka Institute of Technology, 3-30-1 Wajiro-higashi, Higashi-ku, Fukuoka 811-0295, Japan;3. Department of Physics, Kyushu University, 6-10-1 Hakozaki, Fukuoka 812-8581, Japan;4. Research Center for Quantum Nano-Spin Sciences, Kyushu University, 6-10-1 Hakozaki, Fukuoka 812-8581, Japan;1. Deparment of Physics, Yancheng Institute of Technology, Yancheng 224051, China;2. Department of Physics, Hunan Institute of Engineering, Xiangtan 411104, China;3. Deparment of Physics, Xiangtan University, Xiangtan 411105, China;1. Institute of Theoretical Physics and Astronomy, Vilnius University, A. Gostauto 12, LT-01108 Vilnius, Lithuania;2. Research Institute for Applied Physics, University of Tabriz, Tabriz, Iran
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:Scattering theory  Landauer–Büttiker formalism  Floquet theory  Topological insulators
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