Nonlocal Optical Response in Topological Phase Transitions in the Graphene Family

Abstract

We investigate the electromagnetic response of staggered two-dimensional materials of the graphene family, including silicene, germanene, and stanene, as they are driven through various topological phase transitions using external fields. Utilizing Kubo formalism, we compute their optical conductivity tensor taking into account the frequency and wave vector of the electromagnetic excitations, and study its behavior over the full electronic phase diagram of the materials. We also consider the plasmon excitations in the graphene family and find that nonlocality in the optical response can affect the plasmon dispersion spectra of the various phases. The expressions for the conductivity components are valid for the entire graphene family and can be readily used by others.

arXiv comment12 pages, 6 figures

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• Signatures of Complex Optical Response in Casimir Interactions of Type I and II Weyl Semimetals
• The Casimir effect in topological matter
• Electric conductivity in graphene: Kubo model versus a nonlocal quantum field theory model
• Nonlocal optical conductivity of Fermi surface nesting materials
• Composition and Stacking Dependent Topology in Bilayers from the Graphene Family
• Local noise spectroscopy of Wigner crystals in two-dimensional materials
• On the convergence of the polarization tensor in space-time of three dimensions
• Theory of the Strain-Induced Magnetoelectric Effect in Planar Dirac Systems
• Casimir-Lifshitz force with graphene: theory versus experiment, role of spatial non-locality and of losses
• Emerging nonlinear Hall effect in Kane-Mele two-dimensional topological insulators
• Casimir energy for $N$ constant conductivity $\delta$-plates with a neural network perception