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Ferromagnetism01:31

Ferromagnetism

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...
Diamagnetism01:26

Diamagnetism

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.
Valence Bond Theory02:42

Valence Bond Theory

Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
Colors and Magnetism03:02

Colors and Magnetism

Color in Coordination Complexes
When atoms or molecules absorb light at the proper frequency, their electrons are excited to higher-energy orbitals. For many main group atoms and molecules, the absorbed photons are in the ultraviolet range of the electromagnetic spectrum, which cannot be detected by the human eye. For coordination compounds, the energy difference between the d orbitals often allows photons in the visible range to be absorbed and emitted, which is seen as colors by the human eye.
Classical Mechanics01:12

Classical Mechanics

Classical mechanics provides a mathematical description of the motion of bodies under the influence of forces. A key principle within this field is the work-energy theorem, which establishes a bridge between the net work done on an object and its kinetic energy.The work-energy theorem states that the net work done on a particle by all the forces acting on it equals the change in its kinetic energy.In simple terms, the work-energy theorem is a method to analyze the effects of forces on an...
Paramagnetism01:30

Paramagnetism

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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Related Experiment Video

Updated: Jul 13, 2026

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

Classical antiferromagnet on a hyperkagome lattice.

John M Hopkinson1, Sergei V Isakov, Hae-Young Kee

  • 1Department of Physics, University of Toronto, Toronto, Ontario M5S 1A7, Canada.

Physical Review Letters
|August 7, 2007
PubMed
Summary

Researchers investigated a frustrated hyperkagome lattice, finding highly degenerate ground states. Low temperatures reveal a nematic order in the Heisenberg model due to "order by disorder" effects.

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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

Published on: October 5, 2013

Related Experiment Videos

Last Updated: Jul 13, 2026

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

Sputter Growth and Characterization of Metamagnetic B2-ordered FeRh Epilayers
12:20

Sputter Growth and Characterization of Metamagnetic B2-ordered FeRh Epilayers

Published on: October 5, 2013

Area of Science:

  • Condensed Matter Physics
  • Magnetism
  • Frustrated Quantum Systems

Background:

  • Recent experiments on Na4Ir3O8 motivate the study of magnetic interactions on complex lattices.
  • The pyrochlore lattice and its derived hyperkagome lattice exhibit geometric frustration.

Purpose of the Study:

  • To investigate the classical antiferromagnet on a three-dimensional frustrated hyperkagome lattice.
  • To understand the emergence of order in systems with highly degenerate ground states.

Main Methods:

  • Large-N mean field theory applied to O(N) classical spin models.
  • Monte Carlo computations to simulate spin configurations.
  • Analysis of classical ground states and low-temperature behavior.

Main Results:

  • Identified highly degenerate classical ground states for the spin models.
  • Observed the emergence of nematic order in the Heisenberg model (N=3) at low temperatures.
  • Demonstrated that coplanar spin configurations dominate via "order by disorder".

Conclusions:

  • The hyperkagome lattice exhibits complex magnetic behavior with significant ground state degeneracy.
  • Order by disorder is a key mechanism driving emergent nematic order in this frustrated system.
  • Results provide insights for ongoing experimental investigations on related materials.