Physics – Condensed Matter – Superconductivity
Scientific paper
2006-11-09
Phys. Rev. B 75, 184534 (2007)
Physics
Condensed Matter
Superconductivity
8 pages, 5 figures
Scientific paper
10.1103/PhysRevB.75.184534
We study the momentum and frequency dependence of the dynamical spin susceptibility in the superconducting state of bilayer cuprate superconductors. We show that there exists a resonance mode in the odd as well as the even channel of the spin susceptibility, with the even mode being located at higher energies than the odd mode. We demonstrate that this energy splitting between the two modes arises not only from a difference in the interaction, but also from a difference in the free-fermion susceptibilities of the even and odd channels. Moreover, we show that the even resonance mode disperses downwards at deviations from ${\bf Q}=(\pi,\pi)$. In addition, we demonstrate that there exists a second branch of the even resonance, similar to the recently observed second branch (the $Q^*$-mode) of the odd resonance. Finally, we identify the origin of the qualitatively different doping dependence of the even and odd resonance. Our results suggest further experimental test that may finally resolve the long-standing question regarding the origin of the resonance peak.
Bennemann Karl
Chubukov Andrey V.
Eremin Ilya
Morr Dirk. K.
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