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Ferromagnetism01:31

Ferromagnetism

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Materials like iron, nickel, and cobalt consist of magnetic domains, within which the magnetic dipoles are arranged parallel to each other. The magnetic dipoles are rigidly aligned in the same direction within a domain by quantum mechanical coupling among the atoms. This coupling is so strong that even thermal agitation at room temperature cannot break it. The result is that each domain has a net dipole moment. However, some materials have weaker coupling, and are ferromagnetic at lower...
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Theory of Metallic Conduction01:17

Theory of Metallic Conduction

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The conduction of free electrons inside a conductor is best described by quantum mechanics. However, a classical model makes predictions close to the results of quantum mechanics. It is called the theory of metallic conduction.
In this theory, Newton's second law of motion is used to determine the acceleration of an electron in the presence of an applied electric field. Then, its velocity is expressed via this acceleration.
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Types Of Superconductors01:28

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A superconductor is a substance that offers zero resistance to the electric current when it drops below a critical temperature. Zero resistance is not the only interesting phenomenon as materials reach their transition temperatures. A second effect is the exclusion of magnetic fields. This is known as the Meissner effect. A light, permanent magnet placed over a superconducting sample will levitate in a stable position above the superconductor. High-speed trains that levitate on strong...
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Paramagnetism01:30

Paramagnetism

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Paramagnets are materials with unpaired electrons that possess a finite magnetic moment. In the absence of a magnetic field, these moments are randomly oriented, and thus the net moment is zero. Under an external field, a torque acting on the moments tends to align them along the field's direction. However, the random thermal motion of electrons produces a torque opposite to the external field and tries to disorient the moments. These two competing effects align only a few moments along the...
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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.
Diamagnetism was discovered by Anton Brugmans in 1778 when he observed that bismuth gets repelled by magnetic fields, thus theorizing that diamagnets get repelled by magnets....
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Ampere's Law in Matter01:22

Ampere's Law in Matter

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The total current density in magnetized material is the sum of the free and bound current densities. The free current arises due to the motion of free electrons within the material, while the bound current arises due to the alignment of magnetic dipole moments.
The differential form of Ampere's law in vacuum states that the curl of the magnetic field equals the permeability times the current density. In a magnetized material, the law is modified to incorporate the free and bound current...
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Model for Nonrelativistic Topological Multiferroic Matter.

Guidobeth Saez1,2, Mario A Castro2,3, Sebastian Allende2,3

  • 1Departamento de Física, Facultad de ciencias físicas y matemáticas, Universidad de Chile, Santiago 8370449, Chile.

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|December 15, 2023
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Summary
This summary is machine-generated.

We developed a quantum mechanical model explaining multiferroicity in materials. This model reveals the geometric origin of magnetoelectric domain walls, crucial for future electronic applications.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Materials Science

Background:

  • Multiferroic materials exhibit coupled magnetic and electric properties.
  • Understanding the quantum origins of multiferroicity is key to harnessing these materials.
  • Existing models may not fully capture the interplay between magnetic and electric ordering.

Purpose of the Study:

  • To present a novel theoretical model for multiferroicity.
  • To elucidate the quantum mechanical underpinnings of multiferroic phenomena.
  • To explore the relationship between geometric properties and magnetoelectric coupling.

Main Methods:

  • Development of a theoretical model based on free electrons and spin moments.
  • Application of nonrelativistic quantum mechanics.
  • Incorporation of Berry's phases and quantum theory of polarization.

Main Results:

  • The model successfully accounts for multiferroicity in specific materials.
  • Demonstrates that multiferroic phenomena arise from quantum mechanical interactions.
  • Identifies the geometrical nature of the multiferroic order parameter.
  • Predicts the existence of magnetoelectric domain walls.

Conclusions:

  • The proposed model provides a fundamental understanding of multiferroicity.
  • The geometrical nature of the order parameter is central to magnetoelectric effects.
  • The predicted magnetoelectric domain walls offer potential for technological advancements in electronics.