南丹麦大学N. M. R. Peres团队研究了马德隆流体力学在二维材料等离子体学和非线性光学中的应用。该项研究成果发表在2025年4月7日出版的《物理评论A》上。

研究组探讨了马德隆流体动力学模型在研究二维电子气中的应用，重点研究了非局域等离子体和非线性光学。他们首先回顾马德隆方程的推导过程。使用马德隆方程结合泊松方程，计算了静电状态下的磁等离子体光谱和磁光电导率，并考虑了费米压力引起的非局域校正。在没有磁场的情况下，他们分析了非线性和非局域二次谐波的产生，展示了等离子体激元激发如何增强这一过程。

研究组进一步讨论了非线性驱动的自调制现象的出现，导致等离子体色散的重整化。值得注意的是，研究组证明了非线性放大了非局域效应，并利用流体动力学形式，推导出了重整化光谱的简单解析表达式。

附：英文原文

Title: Application of Madelung hydrodynamics to plasmonics and nonlinear optics in two-dimensional materials

Author: Simo S. Cardoso, A. J. Chaves, N. Asger Mortensen, N. M. R. Peres

Issue&Volume: 2025/04/07

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.

DOI: 10.1103/PhysRevA.111.043508

Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.111.043508