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5 votes
2 answers
365 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
3 votes
0 answers
44 views

Spectral function of superconductor in the BEC regime: how does Higgs mechanism affect the spectrum?

Consider the standard BCS theory but assume that the interaction energy $U$ that enters the definition of gap parameter (i.e. $\Delta = (U/N)\sum_k \langle c_{-k\downarrow} c_{k\uparrow} \rangle$, ...
Matteo's user avatar
  • 3,014
0 votes
0 answers
77 views

Infinite conductivity, goldstone bosons and generalized voltage

Weinberg [1] has put forth an elegant argument (summarized in [2, Section 3.3] and at the bottom of the question), which suggests that the broken symmetry phase of any $U(1)$ gauge theory will be ...
phonon's user avatar
  • 169
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