Abstract
Dirac energy dispersions are responsible for the extraordinary transport properties of graphene. This motivated the quest for engineering such energy dispersions also in photonics, where they have been predicted to lead to many exciting phenomena. One paradigmatic example is the possibility of obtaining power-law, decoherence-free, photon-mediated interactions between quantum emitters when they interact with such photonic baths. This prediction, however, has been obtained either by using toy-model baths, which neglect polarization effects, or by restricting the emitter position to high-symmetry points of the unit cell in the case of realistic structures. Here, we develop a semianalytical theory of dipole radiation near photonic Dirac points in realistic structures that allows us to compute the effective photon-mediated interactions along the whole unit cell. Using this theory, we are able to find the positions that maximize the emitter interactions and their range, finding a trade-off between them. Besides, using the polarization degree of freedom, we also find positions where the nature of the collective interactions changes from being coherent to dissipative ones. Thus, our results significantly improve the knowledge of Dirac light–matter interfaces and can serve as a guidance for future experimental designs.
Highlights
The Dirac energy spectrum of graphene is the source of many of its extraordinary electronic properties.[1]
We have developed a semianalytical theory based on the guided-mode expansion and k·p method to calculate the photon-mediated interactions in Dirac light−matter interfaces
An important advantage of our theory with respect to existing ones is that it enables us to calculate such interactions when emitters are placed at all positions of the unit cell
Summary
The Dirac energy spectrum of graphene is the source of many of its extraordinary electronic properties.[1]. This is what we plot, multiplying it by the dielectric index ε so that the strength at the air/hole regions appears on a similar color scale From this figure, we can make two important observations: first, the optimal position to couple the emitter is not at the center of the unit cell. There, we observe how the photonmediated interactions in most of the unit cell are dominated by the collective dissipative terms (blue regions), differently from the linearly polarized transitions (see Figure 3(d)) This is a consequence of certain atomic positions of this structure sinatiscfiyrcinuglaRrlye[Gpoxyl]ar≠izeRde[tGraynx]s,itwiohnics.h62i−s6k5noTwhnis to lead to decay change of the coherent nature of the interactions with polarization is something that was not captured in previous analysis because they either neglected polarization effects[9] or placed the emitters in positions where Gσ+σ+ ≈ 0.10.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
