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Why symmetry breaking a paradigm whilst not describing Fermi liquid? 
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#1
May2213, 04:38 AM

P: 1,417

Hi!
So I'm a bit confused: first off, does Fermi liquid theory have "order". I suppose it depends on how you define order. But in case it does, is it described by symmetry breaking? From what I read, I think it does have order which is not described by symmetry breaking. But then I have trouble understanding why Landau symmetry breaking was regarded as a paradigm for so long if another theory by Landau, i.e. Fermi liquids, did not fit it! (yes I know the paradigm is now overthrown too by topological order but that's not relevant here) 


#2
May2313, 04:03 AM

Sci Advisor
P: 3,593

In liquids, like in any matter with finite density, e.g. Galilean invariance is broken which leads to the appearance of sound waves as Goldstone bosons of the broken symmetry.
If you could be more specific about which order you are talking it would be easier to determine whether it corresponds to some symmetry. 


#3
May2313, 04:19 AM

P: 1,417

Hm, is Fermi liquid not precise enough? http://en.wikipedia.org/wiki/Fermi_liquid_theory



#4
May2513, 11:25 PM

P: 184

Why symmetry breaking a paradigm whilst not describing Fermi liquid?



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