Superconductive Phonon Anomalies in High-$T_c$ Cuprates

B. Normand; H. Kohno; H. Fukuyama

doi:10.1016/0022-3697(95)00212-X

paper

Superconductive Phonon Anomalies in High- $T_{c}$ Cuprates

arXiv:cond-mat/9408069 · doi:10.1016/0022-3697(95)00212-X

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 $c m^{- 1}$ $B_{1 g}$ phonon mode in $Y B a_{2} C u_{3} O_{7}$ 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.

heavily revised version of previous paper, including systematic treatment of effect of $t$ term, coupling constant derivation and calculation of phonon linewidth broadening. Revised Figs. 3 and 4 still only available by sending fax # to [email protected]

Superconductive Phonon Anomalies in High-Tc​ Cuprates

Abstract

Superconductive Phonon Anomalies in High- $T_{c}$ Cuprates