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5 votes
2 answers
375 views

Why are there no Goldstone modes in superconductor?

Usually, the absence of Goldstone modes in a superconductor is seen as an example of the Anderson-Higgs mechanism, related to the fact that there is gauge invariance due to the electromagnetic gauge ...
cx1114's user avatar
  • 109
-1 votes
1 answer
46 views

Significance of the phase of the condensate as compared to that of the regular Fermi sea in the Anderson-Higgs mechanism

I do not fully understand how the phase of the charged Cooper pair condensate is different from the phase of e.g. the Fermi liquid in a regular metal. The state of the metal (any quantum state really) ...
Rooky's user avatar
  • 21
0 votes
0 answers
95 views

Anderson Higgs mechanism and superconducting phase fluctuations

In the context of superconductivity, in the Anderson Higgs mechanism (see, for instance, https://doi.org/10.1119/1.5093291 (PDF), or https://doi.org/10.21468/SciPostPhysLectNotes.11 (PDF), the gauge-...
evening silver fox's user avatar
4 votes
2 answers
5k views

Spontaneous symmetry breaking of $U(1)$ in superconductivity

In the crystal, infinitesimal translational symmetry breaking makes the phonon, In ferromagnet, time-reversal symmetry breaking makes magnon. I know that in superconductor there is a spontaneous ...
iron fist's user avatar