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Clapping modes in unconventional superconductors

A. V. Balatsky·P. Kumar·J. R. Schrieffer
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Abstract

We consider a superconducting state with a mixed symmetry order parameter components, e.g. $d+is$ or $d+id'$ with $d'= d_{xy}$. We argue for the existence of the new orbital magnetization mode which corresponds to the oscillations of relative phase $ϕ$ between two components around an equilibrium value of $ϕ= \fracπ{2}$. It is similar to the so called ``clapping'' mode in superfluid $^3He-A$. We estimate the frequency of this mode $ω_0(B,T)$ depending on the field and temperature for the specific case of magnetic field induced $d'$ state. We find that this mode is {\em tunable} with an applied magnetic field with $ω_0(B,T) \propto B \0$, where $\0$ is the magnitude of the d-wave order parameter. We argue also that similar filed induced clapping mode should be present in an organic p-wave superconductors.

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A. V. Balatsky, P. Kumar, J. R. Schrieffer. 2000-09-07. Clapping modes in unconventional superconductors. https://doi.org/10.1016/s0921-4534(00)00700-0

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