Persistent low-energy phonon broadening near the charge order $q$-vector in bilayer cuprate Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$

Abstract

We report a persistent low-energy phonon broadening around $q_B\sim 0.28$ r.l.u. along the Cu-O bond direction in the high-$T_c$ cuprate Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ (Bi-2212). We show that such broadening exists both inside and outside the conventional charge density wave (CDW) phase, via temperature dependent measurements in both underdoped and heavily overdoped samples. Combining inelastic hard x-ray scattering, diffuse scattering, angle-resolved photoemission spectroscopy, and resonant soft x-ray scattering at the Cu $L_3$-edge, we exclude the presence of a CDW in the heavily overdoped Bi-2212 similar to that observed in the underdoped systems. Finally, we discuss the origin of such anisotropic low-energy phonon broadening, and its potential precursory role to the CDW phase in the underdoped region.

arXiv comment11 pages, 9 figures

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