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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.
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.
632
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...
2.5K
Magnetic Field due to Moving Charges01:23

Magnetic Field due to Moving Charges

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A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
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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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Quantum Geometry Induced Nonlinear Transport in Altermagnets.

Yuan Fang1,2, Jennifer Cano1,3, Sayed Ali Akbar Ghorashi1

  • 1Department of Physics and Astronomy, <a href="https://ror.org/05qghxh33">Stony Brook University</a>, Stony Brook, New York 11794, USA.

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The leading nonlinear response in 2D altermagnets is third order, with quantum geometry playing a key role. Spin-orbit coupling is essential for observing these responses, which show distinct features in nonlinear transport.

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Area of Science:

  • Condensed matter physics
  • Quantum materials

Background:

  • Altermagnets exhibit unique electronic properties due to their C_{n}T symmetry.
  • Nonlinear transport phenomena are crucial for understanding quantum material responses.

Purpose of the Study:

  • Investigate the nonlinear response of 2D altermagnets.
  • Analyze the role of quantum geometry, specifically the quantum metric and Berry curvature, in nonlinear transport.
  • Explore the impact of spin-orbit coupling (SOC) and crystalline anisotropy.

Main Methods:

  • Theoretical analysis of nonlinear response in C_{n}T-symmetric altermagnets.
  • Calculation of contributions from quantum metric quadrupole (QMQ) and Berry curvature quadrupole (BCQ).
  • Examination of the influence of spin-orbit coupling and crystalline anisotropy on response peaks and divergences.

Main Results:

  • The leading nonlinear response in 2D altermagnets is third order.
  • Longitudinal response is solely from QMQ, while transverse responses involve both QMQ and BCQ.
  • Hall response in d-wave altermagnets is dominated by BCQ.
  • Response is highly dependent on crystalline anisotropy and weak spin-orbit coupling.
  • SOC gaps nodal lines, creating sharp response peaks, and influences divergences from Dirac nodes.

Conclusions:

  • Quantum geometry dictates nonlinear transport in altermagnets.
  • Distinctive nonlinear transport signatures are identified, offering experimental avenues.
  • The study provides a framework for disentangling quantum geometric contributions in altermagnets.