Signatures of nematic quantum critical fluctuations in the Raman spectra of lightly doped cuprates

Abstract

We consider the lightly doped cuprates Y${}_{0.97}$Ca${}_{0.03}$BaCuO${}_{6.05}$ and La${}_{2-x}$Sr${}_x$CuO${}_4$ (with $x=0.02$,0.04), where the presence of a fluctuating nematic state has often been proposed as a precursor of the stripe (or, more generically, charge-density wave) phase, which sets in at higher doping. We phenomenologically assume a quantum critical character for the longitudinal and transverse nematic, and for the charge-ordering fluctuations, and investigate the effects of these fluctuations in Raman spectra. We find that the longitudinal nematic fluctuations peaked at zero transferred momentum account well for the anomalous Raman absorption observed in these systems in the $B_{2g}$ channel, while the absence of such effect in the $B_{1g}$ channel may be due to the overall suppression of Raman response at low frequencies, associated with the pseudogap. While in Y${}_{0.97}$Ca${}_{0.03}$BaCuO${}_{6.05}$ the low-frequency lineshape is fully accounted by longitudinal nematic collective modes alone, in La${}_{2-x}$Sr${}_x$CuO${}_4$ also charge-ordering modes with finite characteristic wavevector are needed to reproduce the shoulders observed in the Raman response. This different involvement of the nearly critical modes in the two materials suggests a different evolution of the nematic state at very low doping into the nearly charge-ordered state at higher doping.

arXiv comment12 pages with 10 figures, to appear in Phys. Rev. B 2015

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• Charge Nematicity and Electronic Raman Scattering in Iron-based Superconductors
• Cuprate superconductors as viewed through a striped lens
• Nematic fluctuations and the magneto-structural phase transition in $\mathrm{Ba}(\mathrm{F}{\mathrm{e}}_{1-\mathrm{x}}\mathrm{C}{\mathrm{o}}_{\mathrm{x}}{)}_2\mathrm{A}{\mathrm{s}}_2$
• Vestigial nematicity from spin and/or charge order in the cuprates
• Melting of charge order in the low-temperature state of an electronic ferroelectric
• Fluctuations and pairing in Fe-based superconductors: Light scattering experiments
• Competition between spin-induced charge instabilities in underdoped cuprates
• Theories for charge-driven nematicity in kagome metals
• Glue function of optimally and overdoped cuprates from inversion of the Raman spectra
• Intra pseudogap- and superconductivity-pair spin and charge fluctuations and underdome metal-insulator (fermion-boson)-crossover phenomena as keystones of cuprate physics
• Normal state pair nematicity and hidden magnetic order and metal-insulator (fermion-boson)- crossover origin of pseudogap phase of cuprates II