Quenched disorder and vestigial nematicity in the pseudo-gap regime of the cuprates

Abstract

We have carried out a theoretical analysis of the Landau-Ginzburg-Wilson effective field theory of a classical incommensurate CDW in the presence of weak quenched disorder. While the possibility a sharp phase transition and long-range CDW order are precluded in such systems, we show that any discrete symmetry breaking aspect of the charge order -- nematicity in the case of the unidirectional (stripe) CDW we consider explicitly -- generically survives up to a non-zero critical disorder strength. Such "vestigial order", which is subject to unambiguous macroscopic detection, can serve as an avatar of what would be CDW order in the ideal, zero disorder limit. Various recent experiments in the pseudo-gap regime of the hole-doped cuprate high-temperature superconductors are readily interpreted in light of these results.

References updated in v2; 38 pages, 3 figures, including 16-page main text and 22-page supplemental material

References in corpus (18)

• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Evidence for an electron nematic phase transition in underdoped iron pnictide superconductors
• Ubiquitous Interplay between Charge Ordering and High-Temperature Superconductivity in Cuprates
• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Lattice symmetry breaking in cuprate superconductors: Stripes, nematics, and superconductivity
• Formation of a Nematic Fluid at High Fields in Sr3Ru2O7
• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions (Supporting Material)
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions
• Distinct Charge Orders in the Planes and Chains of Ortho-III-Ordered YBa${}_2$Cu${}_3$O${}_{6+\delta }$ Superconductors Identified by Resonant Elastic X-ray Scattering
• X-ray diffraction observation of charge density wave order at zero magnetic field in ortho-II YBa${}_2$Cu${}_3$O${}_{6.54}$
• The symmetry of charge order in cuprates
• Appearance of fluctuating stripes at the onset of the pseudogap in the high-Tc Superconductor Bi2Sr2CaCu2O8+x
• Distinguishing Patterns of Charge Order: Stripes or Checkerboards
• Kerr effect as evidence of gyrotropic order in the cuprates
• From stripe to checkerboard order on the square lattice in the presence of quenched disorder
• Magneto-optical signatures of a cascade of transitions in La${}_2-x$Ba${}_x$CuO${}_4$
• Symmetry-breaking lattice distortion in Sr_3Ru_2O_7

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