# Size-dependent nonlocal effects in plasmonic semiconductor particles

## TL;DR

This paper demonstrates that semiconductor nanoparticles exhibit significant size-dependent nonlocal plasmonic effects, with larger blueshifts than metals, highlighting their potential for studying nonlocal phenomena.

## Contribution

The study applies the hydrodynamic model to semiconductor nanospheres, revealing pronounced nonlocal effects and larger blueshifts compared to metals, which is a novel insight.

## Key findings

- Semiconductors show strong nonlocal effects in plasmonic response.
- A 150 nm InSb particle exhibits a 35% blueshift at 300K.
- Semiconductors are promising for nonlocal plasmonic experiments.

## Abstract

Localized surface plasmons (LSP) in semiconductor particles are expected to exhibit spatial nonlocal response effects as the geometry enters the nanometer scale. To investigate these nonlocal effects, we apply the hydrodynamic model to nanospheres of two different semiconductor materials: intrinsic InSb and $n$-doped GaAs. Our results show that the semiconductors indeed display nonlocal effects, and that these effects are even more pronounced than in metals. In a $150\mathrm{\,nm}$ InSb particle at $300\mathrm{\,K}$, the LSP frequency is blueshifted 35%, which is orders of magnitude larger than the blueshift in a metal particle of the same size. This property, together with their tunability, makes semiconductors a promising platform for experiments in nonlocal effects.