Fluctuating orders and quenched randomness in the cuprates

Abstract

We study a quasi-2D classical Landau-Ginzburg-Wilson effective field theory in the presence of quenched disorder in which incommensurate charge-density wave and superconducting orders are intertwined. The disorder precludes long-range charge-density wave order, but not superconducting or nematic order. We select three representative sets of input parameters and compute the corresponding charge-density wave structure factors using both large-$N$ techniques and classical Monte Carlo simulations. Where nematicity and superconductivity coexist at low temperature, the peak height of the charge-density wave structure factor decreases monotonically as a function of increasing temperature, unlike what is seen in X-ray experiments on YBa${}_2$Cu${}_3$O${}_{6+x}$. Conversely, where the thermal evolution of the charge-density wave structure factor qualitatively agrees with experiments, the nematic correlation length, computed to one-loop order, is shorter than the charge-density wave correlation length.

13 pages, 10+2 figures. Corrected typos in text and equations, results unchanged

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Cited by in corpus (21)

• Observation of two types of charge density wave orders in superconducting La${}_{2-x}$Sr${}_x$CuO${}_4$
• Vestigial nematicity from spin and/or charge order in the cuprates
• Random-field Ising and $O(N)$ models: Theoretical description through the functional renormalization group
• Charge orders, magnetism and pairings in the cuprate superconductors
• A model of $d$-wave superconductivity, antiferromagnetism, and charge order on the square lattice
• Dimensional Crossover of Charge-Density Wave Correlations in the Cuprates
• Effective SU(2) theory for the pseudogap state
• Nematicity in the pseudogap state of cuprate superconductors revealed by angle-resolved photoemission spectroscopy
• Spatially Inhomogeneous Competition between Superconductivity and the Charge Density Wave in YBa${}_2$Cu${}_3$O${}_{6.67}$
• Modification of structural disorder by hydrostatic-pressure in superconducting YBa${}_2$Cu${}_3$O${}_{6.73}$ cuprate
• Interplay between uni-directional and bi-directional charge-density-wave orders in underdoped cuprates
• Ring-like shaped charge modulations in the t-J model with long-range Coulomb interaction
• Enhancement of superconductivity by electronic nematicity in cuprate superconductors
• Fractionalized Fermi liquids and the cuprate phase diagram
• Skyrmion-like textures in superconductors with competing order
• Characteristic energy of the nematic-order state and its connection to enhancement of superconductivity in cuprate superconductors
• Pseudogap phase and fractionalization: Predictions for Josephson junction setup
• High field charge order across the phase diagram of $YB{a}_{2}C{u}_3{O}_y$
• An Exactly Solvable Model of Randomly Pinned Charge Density Waves in Two Dimensions
• Yamaji effect in models of underdoped cuprates
• The attractive Hubbard model as an $SO(3)$ system of competing phases: supersolid order and its thermal melting