Dimensional Crossover of Charge-Density Wave Correlations in the Cuprates

Abstract

Short-range charge-density wave correlations are ubiquitous in underdoped cuprates. They are largely confined to the copper-oxygen planes and typically oscillate out of phase from one unit cell to the next in the c-direction. Recently, it was found that a considerably longer-range charge-density wave order develops in YBCO above a sharply defined crossover magnetic field. This order is more three-dimensional and is in-phase along the c-axis. Here, we show that such behavior is a consequence of the conflicting ordering tendencies induced by the disorder potential and the Coulomb interaction, where the magnetic field acts to tip the scales from the former to the latter. We base our conclusion on analytic large-N analysis and Monte-Carlo simulations of a non-linear sigma model of competing superconducting and charge-density wave orders. Our results are in agreement with the observed phenomenology in the cuprates, and we discuss their implications to other members of this family, which have not been measured yet at high magnetic fields.

arXiv commentPublished version, including supplementary material

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• Fractionalized pair density wave in the pseudo-gap phase of cuprate superconductors
• Charge density waves and Fermi-surface reconstruction in the clean overdoped cuprate superconductor Tl2Ba2CuO6+x
• Fermi surface reconstruction by a charge-density-wave with finite correlation length
• Charge density wave and large non-saturating magnetoresistance in YNiC${}_2$ and LuNiC${}_2$
• Spatially Inhomogeneous Competition between Superconductivity and the Charge Density Wave in YBa${}_2$Cu${}_3$O${}_{6.67}$
• Using strain to uncover the interplay between two- and three-dimensional charge density waves in high-temperature superconducting YBa${}_2$Cu${}_3$O${}_{\mathrm{y}}$
• Protected superconductivity at the boundaries of charge-density-wave domains
• The phase diagram of the underdoped cuprates at high magnetic field
• Collective mode in the SU(2) theory of cuprates
• Adiabatic variation of the charge-density-wave phase diagram in the 123 cuprate (Ca${}_x$La${}_{1-x}$)(Ba${}_{1.75-x}$La${}_{0.25+x}$)Cu${}_3$O${}_y$
• Correlation between charge density waves and antiferromagnetism in Nd${}_{1-x}$Gd${}_x$NiC${}_2$ solid solution
• Vortex core order and field-driven phase coexistence in the attractive Hubbard model
• Intervortex forces in competing-order superconductors
• Doping-dependent phonon anomaly and charge-order phenomena in the HgBa${}_2$CuO${}_{4+\delta }$ and HgBa${}_2$CaCu${}_2$O${}_{6+\delta }$
• Quantum oscillations from a pair-density wave
• Robust Charge-Density Wave Correlations in Optimally-Doped YBa2Cu3Oy
• Minimal model of charge and pairing density waves in X-ray scattering experiments
• High field charge order across the phase diagram of $YB{a}_{2}C{u}_3{O}_y$
• Strain-induced structural change and nearly-commensurate diffuse scattering in the model high-temperature superconductor HgBa${}_2$CuO${}_{4+\delta }$