Surface scalar plasmons on curved interfaces: a venue for analogue gravity
Abstract
We investigate whether the geometry of a curved conductor--dielectric interface can modify the effective mass and propagation of scalar surface plasmons (SSPs). In the hydrodynamic limit, we describe SSPs as density perturbations in a semiclassical jellium electron gas. Using a thin--layer dimensional reduction procedure, we derive a massive Klein--Gordon equation for SSPs on the curved interface with a geometric potential. We find that under specific conditions, the geometric potential allows SSP propagation with a vanishing effective mass. We then apply the formalism to a well known analogue black hole configuration, determining the corresponding quasinormal mode frequencies. Our results show that interface curvature provides a geometric handle on plasmon propagation and localization, suggesting new possibilities for plasmon transport and analogue gravity experiments with surface plasmons.
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BibTeX
@misc{pereira2026surface,
title = {{Surface scalar plasmons on curved interfaces: a venue for analogue gravity}},
author = {Matheus E. Pereira},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.03813},
eprint = {2610.03813},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.03813},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Surface scalar plasmons on curved interfaces: a venue for analogue gravity
AU - Matheus E. Pereira
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.03813
UR - https://arxiv.org/abs/2610.03813
AB - We investigate whether the geometry of a curved conductor--dielectric interface can modify the effective mass and propagation of scalar surface plasmons (SSPs). In the hydrodynamic limit, we describe SSPs as density perturbations in a semiclassical jellium electron gas. Using a thin--layer dimensional reduction procedure, we derive a massive Klein--Gordon equation for SSPs on the curved interface with a geometric potential. We find that under specific conditions, the geometric potential allows SSP propagation with a vanishing effective mass. We then apply the formalism to a well known analogue black hole configuration, determining the corresponding quasinormal mode frequencies. Our results show that interface curvature provides a geometric handle on plasmon propagation and localization, suggesting new possibilities for plasmon transport and analogue gravity experiments with surface plasmons.
ER -