Long-range order and pinning of charge-density waves in competition with superconductivity

Abstract

Recent experiments show that charge-density-wave correlations are prevalent in underdoped cuprate superconductors. The correlations are short ranged at weak magnetic fields but their intensity and spatial extent increase rapidly at low temperatures beyond a crossover field. Here we consider the possibility of long-range charge-density-wave order in a model of a layered system where such order competes with superconductivity.We show that in the clean limit, low-temperature long-range order is stabilized by arbitrarily weak magnetic fields. This apparent discrepancy with the experiments is resolved by the presence of disorder. Like the field, disorder nucleates halos of charge-density wave, but unlike the former it also disrupts interhalo coherence, leading to a correlation length that is always finite. Our results are compatible with various experimental trends, including the onset of longer range correlations induced by interlayer coupling above a characteristic field scale.

13 pages, including appendices

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Cited by in corpus (20)

• Synchrotron x-ray scattering study of charge-density-wave order in HgBa${}_2$CuO${}_{4+\delta }$
• Fractionalized pair density wave in the pseudo-gap phase of cuprate superconductors
• Coupling between dynamic magnetic and charge-order correlations in the cuprate superconductor Nd${}_{2-x}$Ce${}_x$CuO${}_4$
• Dimensional Crossover of Charge-Density Wave Correlations in the Cuprates
• Unusual dynamic charge-density-wave correlations in HgBa${}_2$CuO${}_{4+\delta }$
• Fermi surface reconstruction by a charge-density-wave with finite correlation length
• Testing for pair-density-wave order in La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$
• Using strain to uncover the interplay between two- and three-dimensional charge density waves in high-temperature superconducting YBa${}_2$Cu${}_3$O${}_{\mathrm{y}}$
• The phase diagram of the underdoped cuprates at high magnetic field
• Modification of structural disorder by hydrostatic-pressure in superconducting YBa${}_2$Cu${}_3$O${}_{6.73}$ cuprate
• 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${}_y$
• Collective mode in the SU(2) theory of cuprates
• Structure of the Charge-Density Wave in Cuprate Superconductors: Lessons from NMR
• Intervortex forces in competing-order superconductors
• Quantum oscillations from a pair-density wave
• Doping-dependent phonon anomaly and charge-order phenomena in the HgBa${}_2$CuO${}_{4+\delta }$ and HgBa${}_2$CaCu${}_2$O${}_{6+\delta }$
• Impurity induced phase competition and supersolidity
• Skyrmion-like textures in superconductors with competing order
• Minimal model of charge and pairing density waves in X-ray scattering experiments
• High field charge order across the phase diagram of $YB{a}_{2}C{u}_3{O}_y$