Linear Response Theory and Optical Conductivity of Floquet Topological Insulators
| dc.creator | Kumar, Abhishek | |
| dc.creator | Rodriguez-Vega, Martin | |
| dc.creator | Pereg-Barnea, Tamar | |
| dc.creator | Seradjeh, Babak | |
| dc.date.accessioned | 2024-01-29T14:21:44Z | |
| dc.date.available | 2024-01-29T14:21:44Z | |
| dc.date.issued | 2020-05-28 | |
| dc.description.abstract | Motivated by the quest for experimentally accessible dynamical probes of Floquet topological insulators, we formulate the linear response theory of a periodically driven system. We illustrate the applications of this formalism by giving general expressions for optical conductivity of Floquet systems, including its homodyne and heterodyne components and beyond. We obtain the Floquet optical conductivity of specific driven models, including two-dimensional Dirac material such as the surface of a topological insulator, graphene, and the Haldane model irradiated with circularly or linearly polarized laser, as well as semiconductor quantum well driven by an ac potential. We obtain approximateanalyticalexpressionsandperformnumericallyexactcalculationsoftheFloquetoptical conductivity in different scenarios of the occupation of the Floquet bands, in particular the diagonal Floquet distribution and the distribution obtained after a quench. We comment on experimental signatures and detection of Floquet topological phases using optical probes. | |
| dc.description.department | Center for Dynamics and Control of Materials | |
| dc.description.sponsorship | This work is supported in part by the National Science Foundation CAREER grant DMR-1350663, the Binational Science Foundation grant No. 2014345, the College of Arts and Sciences at Indiana University, NSERC and FRQNT. M.R-V. was primarily supported by the National Sci- ence Foundation through the Center for Dynamics and Control of Materials: an NSF MRSEC under Coopera- tive Agreement No. DMR-1720595. We acknowledge the hospitality of Aspen Center for Physics, supported by National Science Foundation grant PHY-1607611, where partsofthisworkwereperformed. | |
| dc.identifier.doi | https://doi.org/10.48550/arXiv.1912.12753 | |
| dc.identifier.uri | https://hdl.handle.net/2152/123516 | |
| dc.identifier.uri | https://doi.org/10.26153/tsw/50312 | |
| dc.language.iso | en_US | |
| dc.relation.ispartof | Center for Dynamics and Control of Materials Publications | |
| dc.rights.restriction | Open | |
| dc.subject | Floquet | |
| dc.title | Linear Response Theory and Optical Conductivity of Floquet Topological Insulators | |
| dc.type | Article |