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Related Concept Videos

Diamagnetism01:26

Diamagnetism

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Materials consisting of paired electrons have zero net magnetic moments. However, when these materials are placed under an external magnetic field, the moments opposite to the field are induced. Such materials are called diamagnets. Diamagnetism is the response of the diamagnets when placed in an external magnetic field.
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In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
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Potential Due to a Magnetized Object01:24

Potential Due to a Magnetized Object

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Magnetic dipoles in magnetic materials are aligned when placed under an external magnetic field. For paramagnets and ferromagnets, dipole alignment occurs in the direction of the magnetic field. However, the dipoles align opposite to the field in the case of diamagnets. This state of magnetic polarization due to the external field is called magnetization. Magnetization is defined as the dipole moment per unit volume. It plays a similar role to polarization in electrostatics.
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Valence Bond Theory02:42

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Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
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Atomic Nuclei: Nuclear Spin State Population Distribution01:14

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Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
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Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

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An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
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In Situ Monitoring of Diffusion of Guest Molecules in Porous Media Using Electron Paramagnetic Resonance Imaging
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A self-consistent spin-diffusion model for micromagnetics.

Claas Abert1, Michele Ruggeri2, Florian Bruckner3

  • 1Christian Doppler Laboratory of Advanced Magnetic Sensing and Materials, Institute of Solid State, Physics, TU Wien, Austria. claas.abert@tuwien.ac.at.

Scientific Reports
|April 27, 2017
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Summary
This summary is machine-generated.

We developed a 3D micromagnetic model solving the Landau-Lifshitz-Gilbert and spin-diffusion equations simultaneously. This accurately captures magnetization dynamics and resistance changes in magnetic materials and multilayer structures.

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Area of Science:

  • Computational physics
  • Materials science
  • Spintronics

Background:

  • Accurate modeling of magnetization dynamics is crucial for spintronics.
  • Existing models often lack self-consistent treatment of electric potential and magnetization.
  • Understanding magnetization-dependent resistance in multilayer structures requires advanced simulation techniques.

Purpose of the Study:

  • To present a novel three-dimensional micromagnetic model.
  • To couple the Landau-Lifshitz-Gilbert equation with the spin-diffusion equation self-consistently.
  • To accurately simulate magnetization dynamics and associated resistance changes.

Main Methods:

  • Developed a 3D micromagnetic model.
  • Dynamically solved the Landau-Lifshitz-Gilbert equation coupled with the full spin-diffusion equation.
  • Employed a finite-element implementation for the model.
  • Validated the model using current-driven magnetic vortex motion and multilayer resistivity under varying magnetization angles.

Main Results:

  • The model accurately describes spin accumulation from smooth transitions and material interfaces.
  • Self-consistent solution captures magnetization-dependent resistance changes.
  • Simulations of magnetic vortex motion showed good agreement with reference data.
  • Investigated multilayer resistivity, showing good agreement with experimental results.

Conclusions:

  • The proposed model provides an accurate and self-consistent framework for simulating magnetization dynamics and resistance.
  • It is applicable to various spintronic phenomena, including multilayer structures.
  • The finite-element implementation is validated and suitable for complex magnetic systems.