Nie, LaimeiSierens, Lauren E. HaywardMelko, Roger G.Sachdev, SubirKivelson, Steven A.2017-02-172015Nie, Laimei, Lauren E. Hayward Sierens, Roger G. Melko, Subir Sachdev, and Steven A. Kivelson. 2015. Fluctuating Orders and Quenched Randomness in the Cuprates. Physical Review B 92, no. 17. doi:10.1103/physrevb.92.174505.1098-0121http://nrs.harvard.edu/urn-3:HUL.InstRepos:30367413We study a quasi-two-dimensional 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 YBa2Cu3O6+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.en-USJournal Article2017-02-1710.1103/PhysRevB.92.174505