How Can I Effectively Structure a 1500-Word Essay on Quantum Magnetism?

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SUMMARY

This discussion focuses on structuring a 1500-word essay on quantum magnetism, specifically addressing the magnetic properties of materials within condensed-matter physics. Key recommendations include defining paramagnetism and diamagnetism in the introduction, followed by an exploration of collective magnetism phenomena, the quantum mechanical exchange interaction, and the Heisenberg model for ferro- and antiferromagnetism. Valuable resources include lecture notes by Jonathan Keeling from the University of St. Andrews and a link to a relevant magnetostatics problem.

PREREQUISITES
  • Understanding of condensed-matter physics
  • Familiarity with the concepts of paramagnetism and diamagnetism
  • Knowledge of quantum mechanical exchange interactions
  • Basic principles of the Heisenberg model for magnetism
NEXT STEPS
  • Review Jonathan Keeling's lecture notes on quantum magnetism
  • Study the Heisenberg model for ferro- and antiferromagnetism
  • Learn about collective magnetism phenomena in solids
  • Explore computational methods for magnetic fields in solids, including the pole method and magnetic surface currents
USEFUL FOR

Students and researchers in physics, particularly those focusing on condensed-matter physics, magnetic properties of materials, and anyone tasked with writing about quantum magnetism.

GiuliettaL
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(I have to write a 1500 word essay briefly explaining quantum magnetism. But i am having a hard time structuring my essay as I need to select what is crucial and what is not since 1500 words is not a lot.
is there anyone with any input for me? Ideas, recommendations, sources anything is helpful!
thank youuu)
 
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That's a bit vague. What do you mean by "quantum magnetism"? Is it about condensed-matter physics and magnetic properties of materials and if so, which aspect of it should you concentrate on?
 
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vanhees71 said:
That's a bit vague. What do you mean by "quantum magnetism"? Is it about condensed-matter physics and magnetic properties of materials and if so, which aspect of it should you concentrate on?
By quantum magnetism is I mean the basic concept of why magnetism in solids should be explained through magnetism.
Sorry for the confusion
 
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What you could do is briefly define para and diamagnetism in an introduction and then focus on collective magnetism phenomena in the main part. Explain the quantum mechanical exchange interaction and their way of minimizing energy and maybe the Heisenberg Ferro/Antiferromagnet.

But it is hard to say more. What level of detail or pre-knowledge is expected?
 
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See https://www.physicsforums.com/threads/a-magnetostatics-problem-of-interest-2.971045/
for something you might find of interest in how magnetic fields are computed in solids, given the magnetization vector ## \vec{M} ##.
In general, the subject is not a simple one, but this "link" might help you get started.

Edit: It is interesting how the magnetic field ## \vec{B} ## gets computed by these two methods. In the pole method, it uses fictitious magnetic charges to do the computation, and in the other method it uses magnetic surface currents that consist of electrical charges, but there is no actual charge transport. Both methods get the exact same result for the magnetic field ## \vec{B} ##.
 
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