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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...
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...
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...
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...
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...
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.

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Related Experiment Video

Updated: Jun 28, 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

Thermally activated Peierls dimerization in ferromagnetic spin chains.

Jesko Sirker1, Alexander Herzog, Andrzej M Oleś

  • 1Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, D-70569 Stuttgart, Germany. j.sirker@fkf.mpg.de

Physical Review Letters
|November 13, 2008
PubMed
Summary

Thermal fluctuations can induce Peierls dimerization in ferromagnetic spin chains. This study explores dimer order and entanglement, highlighting electronic states

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Last Updated: Jun 28, 2026

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Published on: May 13, 2020

Area of Science:

  • Condensed Matter Physics
  • Quantum Magnetism
  • Materials Science

Background:

  • Ferromagnetic spin chains are fundamental systems in magnetism.
  • Peierls dimerization, a phenomenon typically associated with charge density waves, is explored in magnetic systems.
  • Understanding the interplay between thermal fluctuations, magnetic interactions, and structural changes is crucial.

Purpose of the Study:

  • To demonstrate the occurrence of Peierls dimerization in ferromagnetic spin chains driven by thermal fluctuations.
  • To investigate the influence of magnetic exchange interaction modulation and temperature on dimer order and entanglement.
  • To differentiate between spin-phonon coupling and electronic state-induced modulations.

Main Methods:

  • Application of spin-wave theory to model magnetic excitations.
  • Utilizing the density-matrix renormalization group (DMRG) for accurate entanglement calculations.
  • Systematic study of the dimer order parameter and entanglement measures as functions of temperature and interaction modulation.

Main Results:

  • Peierls dimerization is shown to be activated by thermal fluctuations in ferromagnetic spin chains.
  • The dimer order parameter and entanglement exhibit clear dependencies on temperature and the modulation of magnetic exchange interactions.
  • Electronic states are identified as a significant factor in inducing periodic modulations, particularly in transition metal oxides.

Conclusions:

  • Thermal fluctuations provide a viable mechanism for inducing Peierls dimerization in ferromagnetic spin chains.
  • The study establishes a quantitative link between magnetic properties, thermal effects, and dimerization.
  • The findings underscore the critical role of electronic correlations in driving structural and magnetic phenomena in materials like transition metal oxides.