Diamagnetism and density-wave order in the pseudogap regime of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>YBa</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>Cu</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mn>6</mml:mn><mml:mo>+</mml:mo><mml:mi>x</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>

Sierens, Lauren E. Hayward; Achkar, Andrew; Hawthorn, D. G.; Melko, Roger G.; Sachdev, Subir

doi:10.1103/physrevb.90.094515

Cited by 11 publications

(14 citation statements)

References 33 publications

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“…Our simulations are performed on finite-size lattices and involve a combination of local [43][44][45] and non-local 45,46 importance sampling techniques, as described in detail in Ref. 37. Non-local sampling is especially important at low temperatures, where both efficiency and ergodicity issues can become significant.…”

Section: B Monte Carlomentioning

confidence: 99%

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Fluctuating orders and quenched randomness in the cuprates

et al. 2015

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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 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.

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Section: B Monte Carlomentioning

confidence: 99%

“…Previous theoretical works [33][34][35][36][37][38][39][40] introduced classical Landau-Ginzburg models to study the competition among different order parameters in cuprates. In particular, Ref.…”

Section: Introductionmentioning

confidence: 99%

Fluctuating orders and quenched randomness in the cuprates

et al. 2015

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“…27 and 28 was further developed by L. Hayward et al 29,30 who studied an O(6) symmetric σ-model that is identical to the O(4) × O(4) model if the superconducting phases of the two O(4) sectors are interlocked. Comparing the results of a MonteCarlo simulation based on this σ-model with experimental data on x-ray scattering, they reproduced the observed temperature dependency of the charge-order signal.…”

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confidence: 99%

“…34,[36][37][38] It is not yet clear, though, whether CDW will eventually have to be regarded as co-existing or competing with the QDW. Taking a phenomenological approach, 29,30 we choose in the following to discuss the simplest picture of a nonlinear σ-model with CDW being the competitor of superconductivity instead of the QDW. In this case, we assume the following form of the charge density on the Cu atoms…”

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confidence: 99%

Vortices and charge order in high-Tcsuperconductors

et al. 2014

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We theoretically investigate the vortex state of the cuprate high-temperature superconductors in the presence of magnetic fields. Assuming the recently derived nonlinear σ-model for fluctuations in the pseudogap phase, we find that the vortex cores consist of two crossed regions of elliptic shape, in which a static charge order emerges. Charge density wave order manifests itself as satellites to the ordinary Bragg peaks directed along the axes of the reciprocal copper lattice. Quadrupole density wave (bond order) satellites, if seen, are predicted to be along the diagonals. The intensity of the satellites should grow linearly with the magnetic field, in agreement with the result of recent experiments.

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“…Finally, optical excitation of apical oxygen vibrations promotes transient superconducting signatures in YBa 2 Cu 3 O 6+x , 21,22 resembling similar results in La 1.675 Eu 0.2 Sr 0.125 CuO 4 , 23 where they were conjectured to be a consequence of the melting of charge stripe order. 24 Motivated by these findings, Hayward et al 25,26 proposed a phenomenological non-linear sigma model (NLSM), which formulates the competition between fluctuating SC and CDW order parameters. Similar models emerge also from more microscopic considerations.…”

Section: Introductionmentioning

confidence: 99%

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

Caplan¹,

Wachtel²,

Orgad³

2015

Phys. Rev. B

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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 longrange 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 chargedensity wave, but unlike the former it also disrupts inter-halo 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 inter-layer coupling above a characteristic field scale.

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Diamagnetism and density-wave order in the pseudogap regime ofYBa2Cu3O6+x

Cited by 11 publications

References 33 publications

Fluctuating orders and quenched randomness in the cuprates

Fluctuating orders and quenched randomness in the cuprates

Vortices and charge order in high-Tcsuperconductors

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

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