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arXiv 2205.07549cond-mat.mes-hallcond-mat.mtrl-sci
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具有Neel表面各向异性的球形纳米颗粒的磁中子散射:解析处理

Magnetic neutron scattering from spherical nanoparticles with Neel surface anisotropy: Analytical treatment

University of Luxembourg(卢森堡大学);Université de Perpignan via Domitia(佩皮尼昂多米提亚大学)

Michael P. Adams, Andreas Michels, Hamid Kachkachi

AI总结:

该研究针对具有Neel表面各向异性的球形纳米颗粒,通过微扰法将磁化分布求解转化为带Neumann边界的Helmholtz方程,得到球谐与球贝塞尔函数级数形式的解析解,并与考虑全非线性的Landau-Lifshitz方程数值解对比,为磁小角中子散射研究提供了理论工具。

摘要:

本文对具有Neel表面各向异性的单个球形纳米颗粒的磁化分布及相关磁小角中子散射截面进行了解析研究。我们采用的哈密顿量包含各向同性交换相互作用、外磁场、颗粒核心的单轴磁晶各向异性以及表面的Neel各向异性。利用微扰方法,磁化分布的求解可简化为带Neumann边界条件的Helmholtz方程,其解可表示为球谐函数与球贝塞尔函数形式的无穷级数。基于所得的无穷级数展开式,我们解析计算了傅里叶变换,该变换与磁小角中子散射截面存在代数关联。我们将近似解析解与采用Landau-Lifshitz方程得到的数值解进行了对比,后者考虑了问题的全部非线性特性。

英文摘要:

The magnetization profile and the related magnetic small-angle neutron scattering cross section of a single spherical nanoparticle with Neel surface anisotropy is analytically investigated. We employ a Hamiltonian that comprises the isotropic exchange interaction, an external magnetic field, a uniaxial magnetocrystalline anisotropy in the core of the particle, and the Neel anisotropy at the surface. Using a perturbation approach, the determination of the magnetization profile can be reduced to a Helmholtz equation with Neumann boundary condition, whose solution is represented by an infinite series in terms of spherical harmonics and spherical Bessel functions. From the resulting infinite series expansion, we analytically calculate the Fourier transform, which is algebraically related to the magnetic small-angle neutron scattering cross section. The approximate analytical solution is compared to the numerical solution using the Landau-Lifshitz equation, which accounts for the full nonlinearity of the problem.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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