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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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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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Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

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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.
The vector...
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Atomic Nuclei: Nuclear Magnetic Moment00:59

Atomic Nuclei: Nuclear Magnetic Moment

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All atomic nuclei are positively charged. When they have a nonzero spin, they behave like rotating charges. As a consequence of their charge and spin, these nuclei generate a magnetic field (B). This, in turn, gives rise to a magnetic moment (μ), which is randomly oriented in the absence of an external magnetic field. When an external magnetic field (B0) is applied, the magnetic moment vectors can align with the field or against it in 2 + 1 orientations. A hydrogen nucleus, which is just a...
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Odd-Parity Magnetism Driven by Antiferromagnetic Exchange.

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We propose a new framework for achieving spin splitting in antiferromagnetic (AFM) materials without spin-orbit coupling (SOC). This method enables novel spintronics applications by inducing odd-parity spin splitting in AFM states.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Spintronics

Background:

  • Achieving odd-parity, time-reversal-preserving, nonrelativistic spin splitting is crucial for advancing spintronics.
  • Conventional methods often rely on spin-orbit coupling (SOC), limiting material choices and applications.

Purpose of the Study:

  • To propose a group-theory-based microscopic framework for inducing odd-parity spin splitting in antiferromagnetic (AFM) states without SOC.
  • To explore competing ground states and their associated orders in these AFM systems.

Main Methods:

  • Developed phenomenological models for 421 period-doubling AFM systems in nonsymmorphic space groups.
  • Constructed minimal microscopic models for 119 of these systems.
  • Utilized density-functional theory (DFT) calculations and analyzed material databases (Magndata).

Main Results:

  • Identified three competing ground states: odd-parity spin-splitting, nematic order, and scalar odd-parity order.
  • Demonstrated that the odd-parity spin-splitting energy scale is generically large.
  • Showed that scalar odd-parity order yields a nonzero Berry curvature dipole without SOC.
  • Identified 67 candidate materials and confirmed h-wave spin splitting in Fe-based materials.

Conclusions:

  • The proposed framework offers a viable route to nonrelativistic spin splitting in AFM materials without SOC.
  • The identified ground states and their associated orders open new avenues for spintronics and multiferroic applications.
  • The findings provide a theoretical basis for exploring novel electronic and magnetic phenomena in a wide range of materials.