Search arXiv⌕ Search
Home/Archive/arXiv

arXiv · 2107.05300

Plasmonics response of a nanorod in the vicinity of a metallic surface: local approach with analytical solution

I. M. Vasilevskiy·N. M. R. Peres
View original source ↗Read source document ↗Export metadata ↓

Abstract

In this paper we present an analytical solution for the eigenmodes and corresponding electric field of a composite system made of a nanorod in the vicinity of a plasmonic semi-infinite metallic system. To be specific, we choose Silver as the material for both the nanorod and the semi-infinite metal. The system is composed of two sub-systems with different symmetries: the rod has symmetry, while the interface has a rectangular one. Using a boundary integral method, proposed by Eyges, we are able to compute analytically the integrals that sew together the two systems. In the end, the problem is reduced to one of linear algebra, where all the terms in the system are known analytically. For large distances between the rod and the planar surface, only a few of those integrals are needed and a full analytical solution can be obtained. Our results are important to benchmark other numerical approaches and represent a starting point in the discussion of systems composed of nanorods and two-dimensional materials.

Explore related subjects

cond-mat.otherphysics.optics

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

I. M. Vasilevskiy, N. M. R. Peres. 2021-08-13. Plasmonics response of a nanorod in the vicinity of a metallic surface: local approach with analytical solution. https://doi.org/10.1088/2040-8986%2Fac1904

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Occupancy Driven Phase Transitions in Gapped Systems

Systems characterized by an energy gap between the ground state and excited states support a growing number of thermal excitations upon raising the temperature. Provided these excitations interact with each other, their number affects the size of the energy gap akin to a harmonic oscillator where the oscillation frequency is damping dependent. Here we show that once a critical number of excitations is reached, the excitation population becomes thermodynamically unstable and the system transitions between two states. This transition is marked by a divergence in the specific heat, which does not have to be accompanied by an order parameter, nor by the full closure of the gap. We illustrate the thermodynamics using a simple two level system and superfluid $^4$He as examples, and we argue that the hidden order transition in URu$_2$Si$_2$ is an example of such an occupancy driven transition in the absence of an order parameter.

cond-mat.other↗
arXiv2026

When can phonon modes be trapped by arbitrarily weak local defects? Rigorous sufficient conditions in a monatomic lattice

Although many studies have shown that localized defects in vibrational lattices can trap localized phonon modes for particular geometries, there has been no general proof of localization for arbitrary localized defects of arbitrarily weak strength. This is distinct from the problem of Anderson localization, where random perturbations are spread across the entire lattice and one aims to prove whether all states become localized. Here, we study the former problem for monatomic 1d and 2d crystals with nearest-neighbor harmonic interactions, corresponding in 2d to square lattices of masses and springs, and prove that arbitrary localized perturbations (such as any finite set of defect masses) that decrease the net mass by any amount must lead to localized states. In contrast, the analogous statement is generally false in 3d. Our proof employs a straightforward variational method, inspired by analogous results for the Schrödinger and Maxwell equations, that should be extensible to other discrete systems.

cond-mat.other↗
arXiv2026

Chiral near-fields at achiral plasmonic tips enable nanoscale valley polarimetry

Optical helicity is central to chiral light-matter interactions, yet plasmonic confinement typically distorts it at the nanoscale. Here, we demonstrate nanoscale valley polarimetry using an achiral Au tip, where incidence-angle control of circularly polarized light creates a strongly localized, helicity-preserving near-field. Chiral tip-enhanced photoluminescence (c-TEPL) directly resolves and reverses local valley polarization in monolayer WSe2 and reveals nanoscale polarization variations in strained MoS2 hidden by diffraction-limited measurements.

cond-mat.other↗