Ferromagnetic Heisenberg Model

In summary, the conversation discusses the accuracy of the Heisenberg Model compared to the Ising Model in predicting the energy of a system at both low and high temperatures. It also touches on the limitation of temperature when applying the Heisenberg Model to ferromagnetic materials and the convenience of using the Ising Model for temperature. Finally, it questions the relationship between localized electrons and temperature in ferromagnetic materials and whether the Heisenberg Model can be applied to materials with localized electrons at very low temperatures.
  • #1
kkk777
10
0
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:
  • #3
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?
 
  • #4
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
 
  • #5
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
 

1. What is the Ferromagnetic Heisenberg Model?

The Ferromagnetic Heisenberg Model is a mathematical model used to describe the behavior of magnetic materials at the atomic level. It is based on the principles of quantum mechanics and statistical mechanics, and it takes into account the interactions between neighboring magnetic moments in a material.

2. How does the Ferromagnetic Heisenberg Model work?

The model uses a set of mathematical equations to calculate the energy of a system of magnetic moments, which are represented as tiny arrows pointing in different directions. These arrows represent the spins of individual electrons in a material, and the model takes into account the interactions between them.

3. What are the key parameters in the Ferromagnetic Heisenberg Model?

The key parameters in the model are the exchange interaction strength, which represents the strength of the interaction between neighboring spins, and the anisotropy energy, which accounts for the tendency of spins to align in a particular direction.

4. What are the applications of the Ferromagnetic Heisenberg Model?

The model has been used in various fields, such as materials science, condensed matter physics, and magnetism. It has been applied to understand the behavior of magnetic materials, such as ferromagnets, antiferromagnets, and spin glasses. It has also been used in the development of magnetic storage devices and in the study of phase transitions in materials.

5. What are the limitations of the Ferromagnetic Heisenberg Model?

The model is limited in its ability to accurately predict the behavior of real materials. It does not take into account the effects of temperature, impurities, and defects, which can significantly affect the magnetic properties of a material. Additionally, it assumes that all spins in a material are equivalent, which may not always be the case in real materials.

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