{"title":"Magnetorefractive effect in metallic Co/Pt nanostructures","authors":"А. N. Yurasov, D. A. Sayfulina, Т. N. Bakhvalova","doi":"10.32362/2500-316x-2024-12-2-57-66","DOIUrl":null,"url":null,"abstract":"Objectives. To carry out a theoretical investigation of the features of magnetorefractive effect for metal-to-metal nanostructures. This study uses the example of multilayer Co/Pt nanostructures (ferromagnetic metal–paramagnetic metal) with a different ratio of ferromagnetic and paramagnetic phases in the visible and near-infrared (IR) spectral regions.Methods. The dependence was expressed explicitly using the basic formulas for permittivity, refraction and extinction coefficients, and optical conductivity. This then confirms the common nature of these two effects. The magnetorefractive effect for s-polarization of light was calculated using Fresnel formulas for a three-layer structure. This took into account the thickness of the samples and the influence of the substrate. Effective medium methods were used to calculate the dielectric permittivity of materials. Since the average range of cobalt concentrations was being studied, the Bruggeman approximation was used to establish the effective permittivity of nanostructures. The reflection coefficient at normal incidence was calculated for all nanostructures.Results. Since the permittivity of inhomogeneous samples was replaced by a common effective parameter depending on the permittivity of each component, we were able to apply the Drude–Lorentz theory for conductors in a high-frequency alternating field and then estimate the parameters of the electronic structure of the samples being studied. Plasma and relaxation frequencies were calculated for each sample. This made it possible for the number of free electrons to be estimated and scattering in nanostructures to be investigated.Conclusions. It was shown that Langmuir shielding can be observed in the given energy range in the IR region of the spectrum. The calculated values correlate well with the experimental data.","PeriodicalId":282368,"journal":{"name":"Russian Technological Journal","volume":"28 10","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Technological Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32362/2500-316x-2024-12-2-57-66","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Objectives. To carry out a theoretical investigation of the features of magnetorefractive effect for metal-to-metal nanostructures. This study uses the example of multilayer Co/Pt nanostructures (ferromagnetic metal–paramagnetic metal) with a different ratio of ferromagnetic and paramagnetic phases in the visible and near-infrared (IR) spectral regions.Methods. The dependence was expressed explicitly using the basic formulas for permittivity, refraction and extinction coefficients, and optical conductivity. This then confirms the common nature of these two effects. The magnetorefractive effect for s-polarization of light was calculated using Fresnel formulas for a three-layer structure. This took into account the thickness of the samples and the influence of the substrate. Effective medium methods were used to calculate the dielectric permittivity of materials. Since the average range of cobalt concentrations was being studied, the Bruggeman approximation was used to establish the effective permittivity of nanostructures. The reflection coefficient at normal incidence was calculated for all nanostructures.Results. Since the permittivity of inhomogeneous samples was replaced by a common effective parameter depending on the permittivity of each component, we were able to apply the Drude–Lorentz theory for conductors in a high-frequency alternating field and then estimate the parameters of the electronic structure of the samples being studied. Plasma and relaxation frequencies were calculated for each sample. This made it possible for the number of free electrons to be estimated and scattering in nanostructures to be investigated.Conclusions. It was shown that Langmuir shielding can be observed in the given energy range in the IR region of the spectrum. The calculated values correlate well with the experimental data.
研究目的对金属-金属纳米结构的磁折射效应特征进行理论研究。本研究以多层 Co/Pt 纳米结构(铁磁金属-顺磁金属)为例,在可见光和近红外(IR)光谱区域,铁磁相和顺磁相的比例各不相同。利用介电常数、折射率、消光系数和光导率的基本公式,明确表达了它们之间的依存关系。这就证实了这两种效应的共同性质。使用菲涅尔公式计算了三层结构的 s 偏振光的磁折射效应。这考虑到了样品的厚度和基底的影响。使用有效介质方法计算了材料的介电常数。由于研究的是钴浓度的平均范围,因此采用了布鲁格曼近似法来确定纳米结构的有效介电系数。计算了所有纳米结构在正常入射时的反射系数。由于非均质样品的介电常数被一个取决于各成分介电常数的共同有效参数所取代,我们能够在高频交变磁场中应用导体的德鲁德-洛伦兹理论,然后估算出所研究样品的电子结构参数。我们计算出了每个样品的等离子体频率和弛豫频率。这使得估算自由电子数量和研究纳米结构中的散射成为可能。研究表明,在光谱的红外区域的给定能量范围内可以观察到朗姆屏蔽。计算值与实验数据相关性良好。