Application of Madelung Hydrodynamics to Plasmonics and Nonlinear Optics in Two-Dimensional Materials
arXiv:2412.07903 · doi:10.1103/PhysRevA.111.043508
Abstract
This paper explores the application of Madelung hydrodynamic models to study two-dimensional electron gases, with a focus on nonlocal plasmonics and nonlinear optics. We begin by reviewing the derivation of the Madelung equations. Using the Madelung equations in conjunction with Poisson's equation, we calculate the spectrum of magnetoplasmons and the magneto-optical conductivity in the electrostatic regime, incorporating nonlocal corrections due to the Fermi pressure. In the absence of a magnetic field, we analyze nonlinear and nonlocal second-harmonic generation, demonstrating how plasmon excitation enhances this process. We further discuss the emergence of self-modulation phenomena driven by nonlinearity, leading to the renormalization of the plasmon dispersion. Notably, we show that nonlinearity amplifies nonlocal effects and, leveraging the hydrodynamic formalism, derive a simple analytic expression for the renormalized spectra.
arXiv comment14 pages and 4 figures; formulas in Sec. B corrected
References in corpus (20)
- Optical nano-imaging of gate-tuneable graphene plasmons
- Self-consistent fluid model for a quantum electron gas
- Hydrodynamics of electrons in graphene
- Second and Third Harmonic Generation in Metal-Based Nanostructures
- Theory of the giant plasmon enhanced second harmonic generation in graphene and semiconductor two-dimensional electron systems
- Faraday effect in graphene enclosed in an optical cavity and the equation of motion method for the study of magneto-optical transport in solids
- Quantum Hydrodynamic Theory for Plasmonics: Impact of the Electron Density Tail
- Theoretical foundations of quantum hydrodynamics for plasmas
- Second-order quantum nonlinear optical processes in single graphene nanostructures and arrays
- Particle plasmons: Why shape matters
- A hydrodynamic model approach to the formation of plasmonic wakes in graphene
- Laplacian-Level Quantum Hydrodynamic Theory for Plasmonics
- Hydrodynamic theory of the Dyakonov-Shur instability in graphene transistors
- Two-fluid hydrodynamic model for semiconductors
- Plasmonic modes of polygonal particles calculated using a quantum hydrodynamics method
- Hydrodynamics of charged two-dimensional Dirac systems I: thermo-electric transport
- Halevi's extension of the Euler-Drude model for plasmonic systems
- Zero Sound and First Sound in a Disk-Shaped Normal Fermi gas
- Nonreciprocal electron hydrodynamics under magnetic fields: applications to nonreciprocal surface magnetoplasmons
- Dipole excitation of collective modes in viscous two-dimensional electron systems