Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Atomic Nuclei: Nuclear Spin State Overview01:03

Atomic Nuclei: Nuclear Spin State Overview

1.3K
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...
1.3K
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

56.5K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
56.5K
Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

1.4K
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.
1.4K
Spin–Spin Coupling Constant: Overview01:08

Spin–Spin Coupling Constant: Overview

1.1K
In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
1.1K
Atomic Nuclei: Nuclear Spin01:08

Atomic Nuclei: Nuclear Spin

3.8K
All atomic particles possess an intrinsic angular momentum, or 'spin'. Electrons, protons, and neutrons each have a spin value of ½, although protons and neutrons in nuclei may have higher half-integer spins owing to energetic factors.
Atomic nuclei have a net nuclear spin, , which can have an integer or half-integer value. In atomic nuclei, the spins of protons are paired against each other but not with neutrons, and vice versa. Consequently, an even number of protons does not...
3.8K
Spin–Spin Coupling: One-Bond Coupling01:17

Spin–Spin Coupling: One-Bond Coupling

1.1K
Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
1.1K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Frustrated spin models on two- and three-dimensional decorated lattices with high residual entropy.

Journal of physics. Condensed matter : an Institute of Physics journal·2026
Same author

Modeling Impact of Regiodefects on the Electrocaloric Effect in Poly(VDF-<i>co</i>-TrFE) Copolymers.

The journal of physical chemistry. B·2024
Same author

Magnetic properties of ferro-antiferromagnetic spin triangle chain.

Journal of physics. Condensed matter : an Institute of Physics journal·2024
Same author

Magnetic properties of delta- and kagome-like chains with competing interactions.

Journal of physics. Condensed matter : an Institute of Physics journal·2023
Same author

Spin triangle chain with ferromagnetic and antiferromagnetic interactions on the transition line.

Journal of physics. Condensed matter : an Institute of Physics journal·2022

Related Experiment Video

Updated: Oct 26, 2025

Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser
09:00

Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser

Published on: June 28, 2018

10.1K

Two-dimensional spin models with macroscopic degeneracy.

D V Dmitriev1, V Y Krivnov1

  • 1Institute of Biochemical Physics of RAS, Kosygin Street 4, 119334 Moscow, Russia.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|July 29, 2021
PubMed
Summary

This study explores anisotropic spin-1/2 models on 2D lattices, revealing that bound magnon complexes significantly contribute to ground state degeneracy and residual entropy in competing magnetic interactions.

Keywords:
Tasaki latticefrustrated spin modelkagome latticemacroscopic degeneracy

More Related Videos

Visualizing Uniaxial-strain Manipulation of Antiferromagnetic Domains in Fe1+YTe Using a Spin-polarized Scanning Tunneling Microscope
09:06

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

Published on: March 24, 2019

8.3K
Optimizing Magnetic Force Microscopy Resolution and Sensitivity to Visualize Nanoscale Magnetic Domains
07:42

Optimizing Magnetic Force Microscopy Resolution and Sensitivity to Visualize Nanoscale Magnetic Domains

Published on: July 20, 2022

3.0K

Related Experiment Videos

Last Updated: Oct 26, 2025

Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser
09:00

Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser

Published on: June 28, 2018

10.1K
Visualizing Uniaxial-strain Manipulation of Antiferromagnetic Domains in Fe1+YTe Using a Spin-polarized Scanning Tunneling Microscope
09:06

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

Published on: March 24, 2019

8.3K
Optimizing Magnetic Force Microscopy Resolution and Sensitivity to Visualize Nanoscale Magnetic Domains
07:42

Optimizing Magnetic Force Microscopy Resolution and Sensitivity to Visualize Nanoscale Magnetic Domains

Published on: July 20, 2022

3.0K

Area of Science:

  • Condensed Matter Physics
  • Quantum Magnetism
  • Statistical Mechanics

Background:

  • Anisotropic spin-1/2 models exhibit complex magnetic behaviors due to competing ferro- and antiferromagnetic interactions.
  • Lattices with corner-sharing triangles, such as Tasaki and kagome, are known for geometric frustration and exotic ground states.
  • Macroscopic ground state degeneracy in zero magnetic field is a key characteristic of certain frustrated magnetic systems.

Purpose of the Study:

  • To investigate the ground state properties of anisotropic spin-1/2 models on 2D Tasaki and kagome lattices.
  • To analyze the role of competing magnetic interactions in generating macroscopic ground state degeneracy.
  • To quantify the contribution of magnons and bound magnon complexes to the ground state degeneracy and residual entropy.

Main Methods:

  • Utilized a class of anisotropic spin-1/2 models with competing interactions.
  • Employed an exact wave function approach with an arrow configuration representation on 2D lattices.
  • Compared theoretical estimates with results from exactly solved models to validate accuracy.

Main Results:

  • Identified conditions for macroscopic ground state degeneracy in zero magnetic field.
  • Demonstrated that the ground state manifold includes isolated magnons and bound magnon complexes.
  • Showed that the proposed method estimates ground state degeneracy with exponential accuracy.

Conclusions:

  • Bound magnon complexes are the primary contributors to the ground state degeneracy and residual entropy in these models.
  • The exact wave function approach provides a highly accurate method for determining ground state degeneracy.
  • Understanding these complex magnetic states is crucial for developing novel quantum materials and devices.