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Related Concept Videos

Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

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...
Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

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. This...
NMR Spectroscopy: Spin–Spin Coupling01:08

NMR Spectroscopy: Spin–Spin Coupling

The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved in...
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...

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Related Experiment Video

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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
08:55

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses

Published on: June 7, 2018

Nuclear spin ferromagnetic phase transition in an interacting two dimensional electron gas.

Pascal Simon1, Daniel Loss

  • 1Department of Physics and Astronomy, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland.

Physical Review Letters
|May 16, 2007
PubMed
Summary

Nuclear spins in 2D electron systems transition to a ferromagnetic state. Electron interactions and non-Fermi liquid behavior significantly boost this transition temperature, especially at lower electron densities.

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Sputter Growth and Characterization of Metamagnetic B2-ordered FeRh Epilayers
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Sputter Growth and Characterization of Metamagnetic B2-ordered FeRh Epilayers

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Last Updated: Jul 14, 2026

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
08:55

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses

Published on: June 7, 2018

Visualizing Uniaxial-strain Manipulation of Antiferromagnetic Domains in Fe1+YTe Using a Spin-polarized Scanning Tunneling Microscope
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Visualizing Uniaxial-strain Manipulation of Antiferromagnetic Domains in Fe1+YTe Using a Spin-polarized Scanning Tunneling Microscope

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials

Background:

  • Electrons in two-dimensional (2D) semiconducting heterostructures interact with nuclear spins through the hyperfine interaction.
  • Understanding these interactions is crucial for developing novel quantum devices and exploring exotic electronic phases.

Purpose of the Study:

  • To investigate the behavior of nuclear spins in an interacting 2D electron gas.
  • To determine the conditions under which a ferromagnetic phase transition occurs in the nuclear-spin system.

Main Methods:

  • Utilized a Kondo lattice formulation to model the electron-nuclear-spin interaction.
  • Analyzed the effects of electron-electron interactions and non-Fermi liquid behavior on the system.

Main Results:

  • Demonstrated that the nuclear-spin system undergoes a ferromagnetic phase transition at finite temperatures.
  • Found that electron-electron interactions and non-Fermi liquid behavior significantly enhance the nuclear-spin Curie temperature.
  • Observed that the Curie temperature can reach the milliKelvin (mK) range with decreasing electron density.

Conclusions:

  • The interplay between electrons and nuclear spins in 2D systems can lead to emergent magnetic ordering.
  • Electron-electron interactions and non-Fermi liquid physics are key factors in achieving high-temperature nuclear ferromagnetism in these systems.
  • The findings suggest potential pathways for manipulating nuclear spins in 2D materials for quantum information applications.