In a clean s-wave superconductor, finite-momentum particle-hole asymmetric coupling moves spectral weight between Higgs and Bardasis-Schrieffer modes but cannot make their dispersions cross.
(A9) The solution for ˆgK 2 is different from ˆgR(A) 2 because it satisfies the different normalization condition: ˆgR ϵ+δˆgK + ˆgK ϵ+δˆgA +δˆgKˆgA ϵ− +δˆgRˆgK ϵ− = 0
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Finite-momentum coupling of Higgs and Bardasis--Schrieffer modes in superconductors with competing pairing channels
In a clean s-wave superconductor, finite-momentum particle-hole asymmetric coupling moves spectral weight between Higgs and Bardasis-Schrieffer modes but cannot make their dispersions cross.