Intrinsic Hallmarks of Phonon-Induced Charge Order in Cuprates

Abstract

Charge-density wave (CDW) modulations in underdoped high-temperature cuprate superconductors remain a central puzzle in condensed matter physics. However, despite a substantial experimental verification of this ubiquitous phase in a large class of high $T_{\mathrm{c}}$ cuprates, a complete theoretical explanation of this phase is still missing. Here, we build upon our recent proposal that the CDW in underdoped cuprates (Y- and Bi- based compounds) emerges from a unique cooperation of the B${}_{1g}$ bond-buckling phonon with strong electronic correlations. We assume a static mean-field lattice distortion with B${}_{1g}$ symmetry, regardless of its origin, with a commensurate wave vector ${\mathbf{q}}^{\ast }=(2\pi /3,0)/(0,2\pi /3)$. We show that such a phonon-induced CDW (both uni- and bi-axial) reconstructs the Fermi surface, leading to electron and hole pockets, with relevant quantum oscillation frequencies in close consistency with the experiments. Furthermore, a systematic analysis of the symmetry of the intra-unit-cell charge modulations on the copper-oxygen planes is provided. We find that the atomic charge modulation on the CuO${}_2$ unit cell is predominantly of $s$-wave character -- in support of the recent experimental observation.

11 pages, 7 Figures (minor TeX file edit)

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Cited by in corpus (1)

• $B_{1g}$ phonon anomaly driven by Fermi surface instability at intermediate temperature in YBa${}_2$Cu${}_3$O${}_{7-\delta }$