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

Caplan, Yosef; Wachtel, Gideon; Orgad, Dror

doi:10.1103/physrevb.92.224504

Cited by 29 publications

(27 citation statements)

References 53 publications

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“…The correlation length of the charge order is not expected to increase for T < T c due to a strong competition with d-SC. 77,78 Instead, the correlation length features a maximum at T c 79 showing an intimate connection between the d-SC and d-BDW orders. We remark that if the pinning of the d-BDW order is too strong, no superconductivity can emerge below T c .…”

Section: Phase Diagrammentioning

confidence: 95%

Fractionalized pair density wave in the pseudogap phase of cuprate superconductors

et al. 2019

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The mysterious pseudo-gap (PG) phase of cuprate superconductors has been the subject of intense investigation over the last thirty years, but without a clear agreement about its origin. Owing to a recent observation in Raman spectroscopy, of a precursor in the charge channel, on top of the well known fact of a precursor in the superconducting channel, we present here a novel idea: the PG is formed through a Higgs mechanism, where two kinds of preformed pairs, in the particle-particle and particle-hole channels, become entangled through a freezing of their global phase. Remarkably, this entanglement is equivalent to fractionalizing a bond Cooper pair density wave (PDW) into its elementary parts; the particle-hole pair, giving rise to both density modulations and current modulations, and the particle-particle counterpart, leading to the formation of Cooper pairs. From this perspective, the "fractionalized PDW" becomes the central object around the formation of the pseudo-gap. The "locking" of phases between the charge and superconducting modes gives a unique explanation for the unusual global phase coherence of short-range charge modulations, observed below Tc on phase sensitive scanning tunneling microscopy (STM). A simple microscopic model enables us to estimate the mean-field values of the precursor gaps in each channel and the PG energy scale, and to compare them to the values observed in Raman scattering spectroscopy. We also discuss the possibility of a multiplicity of orders in the PG phase and give an overview of the phase diagram. arXiv:1906.01633v2 [cond-mat.supr-con]

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Section: Phase Diagrammentioning

confidence: 95%

Fractionalized pair density wave in the pseudogap phase of cuprate superconductors

et al. 2019

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“…It is a rational supposition, but not one which is directly confirmed in experiment, that the small Fermi surface areas apparent in the QOs reflect a Fermi surface reconstructed by one or the other of the observed CDW orders (phenomenological descriptions of these orders may be found in Ref. [20][21][22]. However, given that the CDW correlation lengths are at best comparable to the cyclotron radius, it is worth asking whether the observed Dingle factors are consistent with these correlation lengths.…”

Section: Application To Ybcomentioning

confidence: 99%

Fermi surface reconstruction by a charge density wave with finite correlation length

2019

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Even a small amplitude charge-density-wave (CDW) can reconstruct a Fermi surface, giving rise to new quantum oscillation frequencies. Here, we investigate quantum oscillations when the CDW has a finite correlation length ξ -a case relevant to the hole-doped cuprates. By considering the Berry phase induced by a spatially varying CDW phase, we derive an effective Dingle factor that depends exponentially on the ratio of the cyclotron orbit radius, Rc, to ξ. In the context of YBCO, we conclude that the values of ξ reported to date for bidirectional CDW order are, prima facie, too short to account for the observed Fermi surface reconstruction; on the other hand, the values of ξ for the unidirectional CDW are just long enough. arXiv:1905.03261v2 [cond-mat.str-el]

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“…These formalisms do not feature an enhanced symmetry and therefore do not exhibit the kind of collective modes discussed here. However some other works have considered composite order parameters such as the one we study here, and our work is therefore potentially relevant to these [59][60][61].…”

Section: Introductionmentioning

confidence: 99%

Collective mode in the SU(2) theory of cuprates

2018

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Recent advances in momentum-resolved electron energy-loss spectroscopy (MEELS) and resonant inelastic X-ray scattering (RIXS) now allow one to access the charge response function with unprecedented versatility and accuracy. This allows for the study of excitations which were inaccessible recently, such as low-energy and finite momentum collective modes. The SU(2) theory of the cuprates is based on a composite order parameter with SU(2) symmetry fluctuating between superconductivity and charge order. The phase where it fluctuates is a candidate for the pseudogap phase of the cuprates. This theory has a signature, enabling its strict experimental test, which is the fluctuation between these two orders, corresponding to a charge 2 spin 0 mode at the charge ordering wave-vector. Here we derive the influence of this SU(2) collective mode on the charge susceptibility in both strong and weak coupling limits, and discuss its relation to MEELS, RIXS and Raman experiments. We find two peaks in the charge susceptibility at finite energy, whose middle is the charge ordering wave-vector, and discuss their evolution in the phase diagram.

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

Cited by 29 publications

References 53 publications

Fractionalized pair density wave in the pseudogap phase of cuprate superconductors

Fractionalized pair density wave in the pseudogap phase of cuprate superconductors

Fermi surface reconstruction by a charge density wave with finite correlation length

Collective mode in the SU(2) theory of cuprates

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