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Paramagnetism

Paramagnetism

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...

Ferromagnetism

Ferromagnetism

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...

π Electron Effects on Chemical Shift: Overview

π Electron Effects on Chemical Shift: Overview

An applied magnetic field causes loosely bound π-electrons in organic molecules to circulate, producing a local or induced diamagnetic field over a large spatial volume. As the molecules tumble in solution, the field generated by π-electrons in spherical substituents results in a zero net field. However, the net field generated by π-electrons in non-spherical substituents is not zero. The effect of this induced field depends on the orientation of the molecule with respect to B0,...

Diamagnetism

Diamagnetism

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....

Atomic Nuclei: Magnetic Resonance

Atomic Nuclei: Magnetic Resonance

The number of nuclear spins aligned in the lower energy state is slightly greater than those in the higher energy state. In the presence of an external magnetic field, as the spins precess at the Larmor frequency, the excess population results in a net magnetization oriented along the z axis. When a pulse or a short burst of radio waves at the Larmor frequency is applied along the x axis, the coupling of frequencies causes resonance and flips the nuclear spins of the excess population from the...

Potential Due to a Magnetized Object

Potential Due to a Magnetized Object

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.
The vector...

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Related Experiment Video

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Spectral and Angle-Resolved Magneto-Optical Characterization of Photonic Nanostructures

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Published on: November 21, 2019

Light-Driven Spontaneous Phonon Chirality and Magnetization in Paramagnets.

Yafei Ren^1,2, Mark Rudner³, Di Xiao^1,3

¹Department of Materials Science and Engineering, University of Washington, Seattle, Washington 98195, USA.

Physical Review Letters

|March 15, 2024

Summary

This study reveals inherent nonlinearity in spin-phonon coupling, demonstrating spontaneous symmetry breaking in paramagnets. This leads to chiral phonons and controllable magnetization in magnetic materials.

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Area of Science:

Condensed Matter Physics
Materials Science

Background:

Spin-phonon coupling allows control of spin and phonon properties.
Nonlinear phenomena in solids are crucial for advanced functionalities.

Purpose of the Study:

To reveal and demonstrate the inherent nonlinearity in spin-phonon coupling.
To explore spontaneous symmetry breaking in magnetic materials.

Main Methods:

Utilizing a paramagnet model system.
Applying periodic optical driving with linearly polarized light.
Developing an analytical self-consistency equation.

Main Results:

Demonstrated spontaneous symmetry breaking under periodic drive.
Observed emergence of coherent chiral phonons and nonzero magnetization.
Identified parameter regimes for spontaneous symmetry breaking.

Conclusions:

Nonlinear spin-phonon coupling can induce symmetry breaking and controllable magnetization.
Potential for novel magnetic materials with tunable properties.
Opens avenues for exploring nonlinear phenomena in magnetism.