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Related Concept Videos

¹H NMR: Complex Splitting01:13

¹H NMR: Complex Splitting

2.1K
A proton M that is coupled to a proton X results in doublet signals for M. However, NMR-active nuclei can be simultaneously coupled to more than one nonequivalent nucleus. When M is coupled to a second proton A, such as in styrene oxide, each peak in the doublet is split into another doublet.
Splitting diagrams or splitting tree diagrams are routinely used to depict such complex couplings. While drawing splitting diagrams, the splitting with the larger coupling constant is usually applied...
2.1K
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule01:10

Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule

3.0K
In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1  triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the...
3.0K
¹H NMR Signal Multiplicity: Splitting Patterns01:13

¹H NMR Signal Multiplicity: Splitting Patterns

7.9K
When protons A and X are coupled, their nuclear spin energy levels are slightly modified. This is because the energy required to excite proton A to a spin state parallel to proton X is slightly different from the energy required for it to become anti-parallel to spin X. Consequently, there are two possible excitation frequencies for A (A1 and A2), depending on the spin state of X, and vice versa. The mutual nature of coupling implies that the difference between frequencies A1 and A2, indicated...
7.9K
Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

1.3K
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.
1.3K
Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

2.2K
NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of one, the...
2.2K
π Electron Effects on Chemical Shift: Overview01:27

π Electron Effects on Chemical Shift: Overview

1.9K
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,...
1.9K

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Updated: Mar 15, 2026

Measurement of Coherence Decay in GaMnAs Using Femtosecond Four-wave Mixing
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Interaction-Driven Altermagnetic Magnon Chiral Splitting.

Zhejunyu Jin1, Zhaozhuo Zeng1, Jie Liu1

  • 1University of Electronic Science and Technology of China, School of Physics and State Key Laboratory of Electronic Thin Films and Integrated Devices, Chengdu 610054, China.

Physical Review Letters
|March 13, 2026
PubMed
Summary
This summary is machine-generated.

Nonlinear three-wave mixing enables relativistic magnon chiral splitting in altermagnets. This novel bosonic mechanism, observed in bilayer antiferromagnets, offers new avenues for magnonic devices.

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Area of Science:

  • Condensed Matter Physics
  • Spintronics
  • Quantum Magnetism

Background:

  • Nonrelativistic magnon chiral splitting in altermagnets is a recent area of interest.
  • Understanding relativistic effects on magnons is crucial for advanced magnetic systems.

Purpose of the Study:

  • To demonstrate nonlinear three-wave mixing extending magnon chiral splitting into relativistic regimes.
  • To identify symmetry-dictated classes of chiral splitting in altermagnets.

Main Methods:

  • Theoretical investigation using a bilayer antiferromagnet model.
  • Analysis of nonlinear three-wave mixing processes involving magnons.
  • Symmetry analysis (C4T, σvT) of chiral splitting phenomena.

Main Results:

  • Identified three distinct classes of relativistic chiral splitting governed by specific symmetries.
  • Demonstrated a novel bosonic mechanism for symmetry-protected chiral splitting.
  • Magnons' ability to violate particle-number conservation is key to this phenomenon.

Conclusions:

  • Nonlinear three-wave mixing provides a pathway to engineer relativistic altermagnetic splitting.
  • Findings open possibilities for advanced magnonic devices.
  • Offers deeper insights into magnon dynamics in complex magnetic materials.