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Superconductive Phonon Anomalies in High-$T_c$ Cuprates

B. Normand·H. Kohno·H. Fukuyama
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Abstract

We consider the effects on phonon dynamics of spin-lattice coupling within the slave-boson mean-field treatment of the extended $t$-$J$ model. With no additional assumptions the theory is found to give a semi-quantitative account of the frequency and linewidth anomalies observed by Raman and neutron scattering for the 340$cm^{-1}$ $B_{1g}$ phonon mode in $YBa_2Cu_3O_7$ at the superconducting transition. We discuss the applicability of the model to phonon modes of different symmetries, and report a connection to spin-gap features observed in underdoped YBCO. The results suggest the possibility of a unified understanding of the anomalies in transport, magnetic and lattice properties.

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B. Normand, H. Kohno, H. Fukuyama. 1994-12-23. Superconductive Phonon Anomalies in High-$T_c$ Cuprates. https://doi.org/10.1016/0022-3697(95)00212-x

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