Three-Body Collective Excitations in the Superconducting Phase of $Mg{B}_2$

Abstract

It is shown that coherent behavior of Cooper's pairs and electrons in the two-band superconductors $Mg{B}_2$ is possible as a result of a strong two-phonon-electron coupling. The spin-$\frac{1}{2}$ triples with zero angular momentum are made up of three spin-$\frac{1}{2}$ fermions with charge $\text{e}$. They are gapped Fermi excitations with gap induced by the gaps of the single fermions. Their contribution to the thermodynamics of the $Mg{B}_2$ superconductors is considered.

5 pages, 4 figures

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