Tunable acoustic graphene plasmon enhanced nano-infrared spectroscopy

Duan Yu; Dai Xiao-Kang; Wu Chen-Chen; Yang Xiao-Xia

doi:10.7498/aps.73.20240489

Abstract

Nano-infrared spectroscopy (nano-IR) technology can exceed the diffraction limit of light, achieving infrared spectroscopic detection with a spatial resolution of about 10 nm, which is an important technical means for studying the chemical composition and structure of molecules on a nanoscale. However, the weak infrared absorption signals of nanoscale materials pose a significant challenge due to the large mismatch between their dimensions and the wavelength of infrared light. The infrared absorption signals of molecular vibrational modes are proportional to the squares of the electromagnetic field intensities at their positions, implying that higher electromagnetic field intensity can significantly improve the sensitivity of molecular detection. Acoustic graphene plasmons (AGPs), excited by the interaction between free charges in graphene and image charges in metal, exhibit strong optical field localization and electromagnetic field enhancement. These properties make AGPs an effective platform for enhancing nano-IR detection sensitivity. However, the fabrication of graphene nanostructures often introduces numerous edge defects due to the limitations of nanofabrication techniques, significantly reducing the electromagnetic field enhancement observed in experiments. Here, we use finite element simulation to theoretically propose a tunable enhanced nano-IR detection platform based on nanocavity-acoustic graphene plasmons (n-AGPs), which utilizes a graphene/air gap/gold nanocavity structure. This platform avoids needing the nanofabrication of graphene, thereby preventing defects and contamination from being introduced in processes such as electron beam exposure and plasma etching. By plotting the dispersion of n-AGP, it is found that n-AGP has a high wavelength compression capability comparable to AGP (λ₀/λ_AGP = 48). Additionally, due to the introduction of the gold nanocavity structure, n-AGP possess an extremely small mode volume (V_n-AGP ≈ 10^–7$ {{ \lambda }}_{0}^{3} $, λ₀ = 6.25 μm). By calculating the electric field intensity distribution (|E_norm|) and the normalized electric field intensity spectrum (i.e. the relationship between frequency and |E_z|/|E_z0|) of the n-AGP structure, it is evident that due to the high electron density on the gold surface, electromagnetic waves can be reflected from the boundaries of the gold nanocavity and resonantly enhanced within the nanocavity. At the resonant frequency of n-AGP (1800 cm^–1), the electric field inside the cavity is enhanced by about 50 times. In contrast, at similar resonant frequencies, the electric field enhancement factor of Graphene plasmon (resonant frequency 1770 cm^–1) and AGP (resonant frequency 1843 cm^–1) are approximately 3 and 2 times, respectively, significantly lower than that of n-AGP. Furthermore, by placing a protein film (60 nm wide and 10 nm high) under the graphene, we calculate the spectral dip depths caused by Fano resonance between n-AGP and AGP with the vibrational modes of protein molecules, thereby validating the enhancement factors of different modes for protein vibrational mode infrared absorption. For the amide-I band of proteins, the detection sensitivity of n-AGP is about 60 times higher than that of AGP. Additionally, we find that by adjusting the structural parameters of the gold nanocavity, including cavity depth, width, and surface roughness, the response frequency band of n-AGP can be modulated (from 1290 to 2124 cm^–1). Specifically, as the cavity depth increases, the electric field enhancement of n-AGP is improved, and the wavelength compression capability of n-AGP decreases, causing the resonant frequency to be blue-shifted (from 1793 to 2124 cm^–1). As the cavity width increases, the resonant frequency of n-AGP is red-shifted (from 1793 to 1290 cm^–1), and the effectiveness of the gold nanocavity boundary in reflecting the resonant electric field within the cavity diminishes, resulting in a decrease in the electric field enhancement factor. With the gradual increase in the roughness of the gold nanocavity bottom, the effective depth of the gold nanocavity increases, causing the n-AGP resonant frequency to be blue-shifted (from 1793 to 1861 cm^–1) and the electric field enhancement factor to increase. Moreover, by adjusting the Fermi level of graphene (from 0.3 to 0.6 eV), we achieve dynamic tuning of n-AGP (from 1355 to 1973 cm^–1). As the Fermi level of graphene increases, the wavelength compression capability of n-AGP decreases, resulting in a blue-shift in the resonant frequency. Finally, by optimizing the structural parameters and Fermi level of n-AGP, and placing protein particles of different sizes (20, 15, and 10 nm high, all 10 nm wide) into the graphene/gold nanocavity structure, we verify the protein detection capability of n-AGP-enhanced nano-IR. We find that n-AGP can detect the vibrational fingerprint features of the amide-I band and amide-II band. For protein films (60 nm wide and 10 nm high), the sensitivity increased by approximately 300 times, and for a single protein particle (10 nm wide and 10 nm high), the sensitivity increased by approximately 9 times. This enhanced structure based on n-AGP holds promise for providing an important detection platform for nanoscale material characterization and single-molecule detection, with broad application potential in biomedicine, materials science, and geology.

Keywords:

Authors and contacts

1.
Henan Institute of Advanced Technology, Zhengzhou University, Zhengzhou 450001, China
2.
CAS Key Laboratory of Nanophotonic Materials and Devices, CAS Key Laboratory of Standardization and Measurement for Nanotechnology, CAS Center for Excellence in Nanoscience, National Center for Nanoscience and Technology, Beijing 100190, China
3.
Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing 100049, China

Corresponding author: Wu Chen-Chen, wucc@nanoctr.cn ; Yang Xiao-Xia, yangxx@nanoctr.cn

Funds: Project supported by the National Key Research and Development Program of China (Grant No. 2023YFA1407003), the National Natural Science Foundation of China (Grant Nos. 52022025, 51972074), the Chinese Academy of Sciences Project for Young Scientists in Basic Research (Grant No. YSBR-086), and the Youth Innovation Promotion Association of the Chinese Academy of Sciences, China.

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Cited By

图 1 基于石墨烯/金纳米腔室的n-AGP (a) 石墨烯/金纳米腔室结构示意图; (b) 共振频率为1600 cm^–1时, AGP沿x轴的电场强度分布图(E_x); (c) n-AGP, GP和AGP的色散关系. 白色虚线是GP的色散关系; 蓝色的点是从不同金纳腔宽度的归一化电场强度谱提取的n-AGP色散散点; 伪彩图通过提取石墨烯/10 nm空气间隙/金结构的归一化lmr_p (r_p为菲涅耳反射系数) 获得, 展示了AGP的色散关系; (d) n-AGP, GP和AGP与蛋白质振动模式耦合的归一化电场强度谱. AGP与蛋白质振动模式耦合的归一化电场强度谱线放大40倍. 灰色虚线代表基线. 黑色箭头代表在酰胺I带处由于法诺共振现象造成的谱线凹陷最深处. 凹陷深度分别为3 (n-AGP+蛋白质)、1.5 (GP+蛋白质)和0.05 (AGP+蛋白质). 蛋白质宽度为60 nm、高度为10 nm. 计算模型中设置空气间隙为10 nm

Figure 1. n-AGP based on graphene/gold nanocavity: (a) Schematic diagram of graphene/gold nanocavity; (b) electric-field distribution of AGP at a resonance frequency of 1600 cm^–1; (c) dispersion of n-AGP, GP, and AGP. The white dashed line represents the dispersion of GP; the blue dots are n-AGP dispersion scatter points extracted from normalized electric-field spectra of different nanocavity widths; the false-color background is obtained by the normalized lm r_p of graphene/ 10 nm air gap/ gold structure, demonstrating the dispersion relationship of AGP (r_p is the Fresnel reflection coefficient); (d) normalized electric-field spectra of n-AGP, GP and AGP coupled with proteins. The normalized electric-field spectra of AGP-protein coupling is amplified by 40 times. The gray dashed line represents the baseline. The black arrow represents the deepest spectral line depression caused by the Fano resonance phenomenon in the Amide I region. The depth of the depression is 3 (n-AGP+protein), 1.5 (GP+protein), and 0.05 (AGP+protein), respectively. The protein has a width of 60 nm and a height of 10 nm. The thickness of air gap is 10 nm in the calculation model.

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图 2 金纳米腔室的不同结构参数对n-AGP共振频率的影响　(a) 腔体深度; (b) 腔体宽度; (c) 腔体下表面粗糙度(Ra), Ra为算数平均粗糙度. 在图(a)—(c)的模拟计算中, 石墨烯费米能级被设置为0.5 eV

Figure 2. Influence of different structural parameters of gold nanocavity on n-AGP resonance frequency: (a) Cavity depth; (b) width; (c) surface roughness (Ra), Ra is average roughness. In panels (a)–(c), the Fermi level of graphene is 0.5 eV.

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图 3 石墨烯费米能级对n-AGP的影响　(a) 归一化电场强度谱对石墨烯费米能级的依赖性, 模拟中设置的金纳米腔室深度为10 nm, 宽度为60 nm; (b) 不同石墨烯费米能级下计算的AGP色散关系, 空气间隙为10 nm

Figure 3. Effect of graphene Fermi level on n-AGP: (a) Dependence of normalized electric-field spectra on graphene Fermi level, and the depth of the gold nanocavity is 10 nm and the width is 60 nm in the simulation; (b) dispersion relationship of AGP corresponding to different graphene Fermi levels, and the thickness of air gap is 10 nm.

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图 4 n-AGP增强nano-IR在蛋白质检测中的应用　(a) n-AGP场增强依赖频率和腔内位置变化的三维图. 白色虚线代表当x = 0 nm时, n-AGP的归一化电场强度谱. 金纳米腔室宽度为60 nm; (b) n-AGP场增强依赖频率和腔内位置变化的三维图. 蛋白质的宽度为10 nm, 高度为10 nm. 蛋白质分子的酰胺I带对应的频率为1650 cm^–1, 酰胺II带对应的频率为1532 cm^–1; (c) 不同尺寸蛋白质与n-AGP耦合的归一化电场强度谱. 蛋白质高度为20 nm (蓝色)、15 nm (绿色)、10 nm (红色). 蛋白质高度为10 nm时, 无增强nano-IR结构的蛋白质的归一化电场强度谱 (浅红色, 放大50倍). 蛋白质的宽度为10 nm. 灰色虚线代表基线, 黑色箭头代表由于法诺共振现象造成的谱线凹陷深度. 蛋白质高度为20, 15, 10 nm时, 谱线凹陷深度分别为1.48, 0.74, 0.06. 在模拟中, 高度为10 nm的蛋白质在酰胺I带的谐振强度为0.007

Figure 4. Application of n-AGP-enhanced nano-IR in protein detection: (a) Three-dimensional diagram showing the dependency of n-AGP field enhancement on frequency and position. The white dashed line represents the normalized electric-field spectra of n-AGP extracted when x = 0 nm, and the width of the gold nanocavity is 60 nm; (b) three-dimensional diagram showing the dependency of n-AGP field enhancement on frequency and position. The width of the protein is 10 nm and the height is 10 nm; The frequency corresponding to the amide I band of protein molecules is 1650 cm^–1, and the frequency corresponding to the amide II band is 1532 cm^–1;(c) normalized electric-field spectra of proteins with different sizes coupled with n-AGP. Normalized electric-field spectra of proteins with height of 20 nm (blue curve), 15 nm (green curve), and 10 nm (red curve) at the center of the graphene/gold nanocavity enhanced structure. When the protein height is 10 nm, there is no enhanced nano-IR structure and the normalized electric-field spectrum (light red curve) is amplified 50 times. The width of the simulated protein is 10 nm. The gray dashed line represents the baseline, and the black arrow represents the depth of spectral line depression caused by the Fano resonance phenomenon. When the protein height is 20, 15 and 10 nm, the depth of spectral line depression is 1.48, 0.74, and 0.06, respectively. The resonance intensity of the simulated protein with a height of 10 nm at amide I band is 0.007.

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