Ferromagnetic Heisenberg Model

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Discussion Overview

The discussion revolves around the applicability of the Heisenberg Model and the Ising Model in describing the energy of ferromagnetic materials at various temperatures. Participants explore the conditions under which each model may provide higher accuracy and the relationship between localized electrons and temperature in these materials.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants inquire whether the Heisenberg Model provides a more accurate representation of energy in ferromagnetic materials at very low temperatures compared to the Ising Model.
  • Others suggest that at high temperatures, the Ising Model may be more accurate than the Heisenberg Model.
  • There are questions about the limitations of applying the Heisenberg Model in ferromagnetic materials concerning temperature.
  • Participants seek to determine the specific temperature range suitable for applying the Heisenberg Model to ferromagnetic materials.
  • Some participants ask about the relationship between localized electrons and temperature, particularly in the context of applying the Heisenberg Model.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the temperature limits for applying the Heisenberg Model and whether localized electrons are relevant at very low temperatures. Multiple competing views remain on the accuracy of the models at different temperatures.

Contextual Notes

Limitations include the dependence on definitions of localized electrons and the specific temperature ranges discussed, which remain unresolved.

kkk777
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Now after applying and removal magnetic field H=0 there will be residual magnetic domain in XYZ directions
Is the Heisenberg Model at very low temperature express about the energy of the system with higher accuracy than Ising Model in the previous case ?
and at high temperature is the Ising Model express about the energy of the system with higher accuracy than Heisenberg Model?
is the temperature a limitation for applying Heisenberg Model in ferromagnetic material ?
is the most convinient for temperature Ising Model?
 
Last edited:
Now at what temperature can we apply Heisenberg model to ferromagnetic material
in other words is the localized electrons (where Heisenberg model can be applied) at very low temperature or not in ferromagnetic material?
 
is there a relation between localized electrons and temperature in Ferromagnetic material ?
I ask because we can apply Heisenberg model to materials with localized electrons
 
is there a relation between localized electrons and temperature in Ferromagnetic material ?
I ask because we can apply Heisenberg model to materials with localized electrons
 

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