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Theory of criticality-enabled $U(1)$ symmetry breaking in a class of 1+1D systems
We present an analytic theory of the recently proposed phenomenon of spontaneous $U(1)$ symmetry breaking at 1+1D Lifshitz quantum critical points. The low-energy field theory contains two periodic scalars $θ$ and $ϕ$, with a Berry phase coupling that makes $θ$ canonically conjugate to the $U(1)$ ch
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