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Article #4759Re: Ferromagnetism (was: Compelling Mysteries)
From: John C. Baez
Date: Wed, 11 Nov 1992 20:45
Date: Wed, 11 Nov 1992 20:45
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In article <BxJFGI.4D5@wsrcc.com> alison@wsrcc.com (Alison Chaiken) writes: >The $0.05 answer: The fundamental underlying cause of conduction >electron "itinerant" ferromagnetism is the Pauli exclusion principle. >In some sense the exclusion principle causes a repulsive force between >electrons of the same energy and spin. (This is really an indirect >manifestation of the Coulomb repulsion between like charges.) The >converse of the preceding statement is that if you have a low-density >electron gas, there is an effective net force aligning the spins. Hmm, now that we have solid state theorist talking we should ask some questions. I don't get this "converse" at all. Are you saying that the Pauli exclusion principle alone causes electron spins to tend to line up in a dilute electron gas? That seems mighty weird. Or do the magnetic moments of the electrons also play a role? >Thus, a large-lattice-constant metal will have a tendency towards >ferromagnetism. What's the lattice constant, and why does this give you a low-density electron gas? >This is especially true in a degenerate system >because the high density of states at the Fermi level means a big >energetic win for opening up an energy gap. Sorry, I don't get this either. Feel free to answer as tersely or loquaciously as you like... I think there are a bunch of us out here that are interested but not quite up to speed.
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Newsgroups: sci.physics Path: arc1-ca.pugleaf.net!sparky!uunet!snorkelwacker.mit.edu!galois!riesz!jbaez From: jbaez@riesz.mit.edu (John C. Baez) Subject: Re: Ferromagnetism (was: Compelling Mysteries) Message-ID: <1992Nov11.204519.28796@galois.mit.edu> Sender: news@galois.mit.edu Nntp-Posting-Host: riesz Organization: MIT Department of Mathematics, Cambridge, MA References: <1992Nov10.151421.11274@murdoch.acc.Virginia.EDU> <COLUMBUS.92Nov10141349@strident.think.com> <BxJFGI.4D5@wsrcc.com> Date: Wed, 11 Nov 92 20:45:19 GMT Lines: 32