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magnons (Definition)

Magnons and magnon dispersion

Magnons are defined as collective excitations of a magnetic lattice that possesses long range magnetic order; more specifically, a single magnon excitation corresponds to the change by one unit of the magnetic moment of the lattice or system. This non-local nature of magnons is the cause of the experimentally observed dispersive behavior, that is a non-linear or non-constant relation between the transferred momentum and the transferred energy of the magnetic lattice upon its excitation. Typical values for the peak(s) of the transferred energy are on the order of 0.5 eV to 2 eV.

Two- and mutiple- magnon dispersion phenomena have been reported, and were recently employed to explain the nonlinear dispersion behavior of both crystalline and non-crystalline systems with long range ordering compared with the atomic scale.

Experimental observation of the non-linear magnon dispersion

Experimentally, magnon dispersions have been detected by resonant microwave absorption in external magnetic fields (that is, by Spin-Wave resonance excitation (SWR) and ferromagnetic resonance (FMR)) for ferromagnetic metallic glasses at ambient temperatures. Several neutron inelastic, as well as Cu $K_\alpha$ edge resonant inelastic X-ray scattering (RIXS), spectra were also reported for crystaline materials such as the undoped antiferromagnetic cuprates below 20 K.

Applications

Such measurements and corresponding theories are of significant interest for an improved understanding of high temperature superconductivity; upon doping ( for example with Ytrium or Lanthanum, and Barium) the long-range ordering in a antiferromagnetic lattice– that was present in certain undoped copper oxide insulators– becomes frustrated, thus leading to short range antiferromagnetic fluctuations, symmetry breaking and high temperature superconductivity.



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Also defines:  magnon excitation, magnon dispersion relation, two-magnon dispersion, SWR, FMR, ferromagnetic resonance, spin-wave excitations, Cu $K_\alpha$ edge resonant inelastic X-ray scattering spectra, RIXS, neutron inelastic scattering, short range antiferromagnetic fluctuations and symmetry breaking, high temperature superconductivity mechanism
Keywords:  magnons, magnon dispersion, magnon dispersion relation, two-magnon dispersion, SWR, FMR, ferromagnetic resonance, spin-wave excitations, Cu $K_\alpha$ edge resonant inelastic X-ray scattering spectra, RIXS, neutron inelastic scattering, short range antiferromagnetic fluctuations and symmetry breaking

Cross-references: superconductivity, neutron, temperatures, metallic glasses, resonance, magnetic fields, magnon dispersion, energy, momentum, relation, system
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This is version 10 of magnons, born on 2009-06-08, modified 2009-06-08.
Object id is 792, canonical name is Magnons.
Accessed 2193 times total.

Classification:
Physics Classification00. (GENERAL)
 02. (Mathematical methods in physics)
 03. (Quantum mechanics, field theories, and special relativity )

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