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Related Concept Videos

Ferromagnetism01:31

Ferromagnetism

3.0K
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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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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Fermi Level01:18

Fermi Level

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The Fermi-Dirac function is represented by an S-shaped curve indicating the probability of an energy state being occupied by an electron at a given temperature. The Fermi level is the energy level at which there is a fifty percent chance of finding an electron, and it is positioned between the lower-energy valence band and the higher-energy conduction band.
At absolute zero temperature, electrons fill all energy states up to the Fermi level, leaving upper states empty. As the temperature rises,...
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Colors and Magnetism03:02

Colors and Magnetism

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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...
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Paramagnetism01:30

Paramagnetism

3.0K
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...
3.0K
Properties of Transition Metals02:58

Properties of Transition Metals

29.6K
Transition metals are defined as those elements that have partially filled d orbitals. As shown in Figure 1, the d-block elements in groups 3–12 are transition elements. The f-block elements, also called inner transition metals (the lanthanides and actinides), also meet this criterion because the d orbital is partially occupied before the f orbitals.
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Related Experiment Video

Updated: Jan 19, 2026

Author Spotlight: Magnetometric Characterization of Intermediates in the Solid-State Electrochemistry of Redox-Active Metal-Organic Frameworks
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Ferromagnetic transition in one-dimensional itinerant electron systems.

Kun Yang1

  • 1Department of Physics, Florida State University, Tallahassee 32306, USA.

Physical Review Letters
|August 25, 2004
PubMed
Summary

We derived an effective field theory for ferromagnetic transitions in 1D itinerant electron systems. This theory, below its upper critical dimension, is controlled by an interacting fixed point, differing from higher-dimensional theories.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Field Theory
  • Statistical Mechanics

Background:

  • Ferromagnetic transitions in low-dimensional itinerant electron systems are complex.
  • Existing theories like Hertz-Millis are primarily for higher dimensions.

Purpose of the Study:

  • To derive an effective field theory for ferromagnetic transitions in 1D itinerant electron systems.
  • To analyze the critical behavior using field theory methods.
  • To compare the 1D behavior with higher-dimensional theories.

Main Methods:

  • Bosonization techniques to derive the effective field theory.
  • Renormalization group analysis using epsilon expansion.
  • Tree-level analysis of dynamical exponent and upper critical dimension.

Main Results:

  • The derived theory exhibits a dynamical exponent z = 2 and upper critical dimension dc = 2 at tree level.
  • The 1D system is below its upper critical dimension.
  • Critical behavior is governed by an interacting fixed point.

Conclusions:

  • The bosonization approach provides a proper description of 1D ferromagnetic transitions.
  • The critical behavior in 1D differs from higher dimensions due to being below dc.
  • The interacting fixed point is crucial for understanding 1D itinerant ferromagnetism.