Structure of the Charge-Density Wave in Cuprate Superconductors: Lessons from NMR

Abstract

Using a mix of numerical and analytic methods, we show that recent NMR ${}^{17}$O measurements provide detailed information about the structure of the charge-density wave (CDW) phase in underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$. We perform Bogoliubov-de Gennes (BdG) calculations of both the local density of states and the orbitally resolved charge density, which are closely related to the magnetic and electric quadrupole contributions to the NMR spectrum, using a microscopic model that was shown previously to agree closely with x-ray experiments. The BdG results reproduce qualitative features of the experimental spectrum extremely well. These results are interpreted in terms of a generic "hotspot" model that allows one to trace the origins of the NMR lineshapes. We find that four quantities---the orbital character of the Fermi surface at the hotspots, the Fermi surface curvature at the hotspots, the CDW correlation length, and the magnitude of the subdominant CDW component---are key in determining the lineshapes.

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Cited by in corpus (7)

• Locally commensurate charge-density wave with three-unit-cell periodicity in YBCO
• Is charge order induced near an antiferromagnetic quantum critical point?
• Emergent Charge Order from Correlated Electron-Phonon Physics in Cuprates
• Charge order near the antiferromagnetic quantum critical point in the trilayer high $T_c$ cuprate HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• Inhomogeneity, Fluctuations, and Gap Filling in Overdoped Cuprates
• Interplay between the charge density wave phase and a pseudogap under antiferromagnetic correlations
• Intrinsic Hallmarks of Phonon-Induced Charge Order in Cuprates