Plasmons in N-layer systems

Abstract

In multilayer structures, the coupling between layers gives rise to unique plasmon modes, but analytic solutions are typically available only for bilayers due to the increasing complexity as the number of layers increases. We investigate plasmons in multilayer structures, including the effects of interlayer tunneling. By introducing the Coulomb eigenvector basis for multilayer systems, which can be solved exactly using Kac-Murdock-Szegő Toeplitz matrices, we analytically derive the long-wavelength plasmon dispersions both with and without interlayer tunneling. In the $N$-layer systems, we find that, in the absence of interlayer tunneling, the out-of-phase acoustic or charge neutral plasmon modes with linear dispersions (${\omega }_{\alpha }\propto q/\sqrt{1-\cos \left(\frac{\alpha -1}{N}\pi \right)}$ for $\alpha =2,3,\cdots ,N$) exist, while the in-phase classical plasmon mode exhibits its conventional dispersion (${\omega }_1\propto \sqrt{q}$). When interlayer tunneling is present, the out-of-phase modes develop plasmon gaps that are governed by specific interband transitions, whereas the classical mode remains unaffected. These findings have broad applicability to general coupled-layer structures.

13 pages, 3 figures

References in corpus (31)

• Van der Waals heterostructures
• Evolution of Interlayer Coupling in Twisted MoS2 Bilayers
• Ultra-confined acoustic THz graphene plasmons revealed by photocurrent nanoscopy
• Exotic plasmon modes of double layer graphene
• Collective modes of the massless Dirac plasma
• Ultra-high quality two-dimensional electron systems
• Viscous electron fluids
• Plasmons in coupled bilayer structures
• Collective modes and terahertz near-field response of superconductors
• Tunneling Plasmonics in Bilayer Graphene
• Coherent Interlayer Tunneling and Negative Differential Resistance with High Current Density in Double Bilayer Graphene-WSe2 Heterostructures
• Plasmonic excitations in Coulomb coupled N-layer graphene structures
• Dynamical response functions and collective modes of bilayer graphene
• Electron-electron interactions in decoupled graphene layers
• Real-space imaging of acoustic plasmons in large-area CVD graphene
• Optical and plasmonic properties of twisted bilayer graphene: Impact of interlayer tunneling asymmetry and ground-state charge inhomogeneity
• Dynamical screening in bilayer graphene
• Quantum Surface-Response of Metals Revealed by Acoustic Graphene Plasmons
• Dielectric screening and plasmons in AA-stacked bilayer graphene
• Theroy of anisotropic plasmons
• Tunable interband and intraband plasmons in twisted double bilayer graphene
• Theory of intrinsic acoustic plasmons in twisted bilayer graphene
• Unusual Coulomb excitations in ABC-stacked trilayer graphene
• Stacking dependence of carrier-interactions in multilayer graphene systems
• Probing the bulk plasmon continuum of layered materials through electron energy loss spectroscopy in a reflection geometry
• Electronic structure of biased alternating-twist multilayer graphene
• Plasmon generation through electron tunneling in twisted double-layer graphene and metal-insulator-graphene systems
• Dimensionally mixed coupled collective modes
• Tunable plasmon modes in doped AA-stacked bilayer graphene
• Acoustic plasmons and isotropic short-range interaction in two-component electron liquids
• The Toeplitz matrix $e^{-\kappa |i-j|}$ and its application to a layered electron gas