Quantum oscillations in a biaxial pair density wave state

Norman, M. R.; Davis, J. C.

doi:10.1073/pnas.1803009115

Cited by 35 publications

(26 citation statements)

References 33 publications

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“…A signature of the microscopic coexistence of these two phases would be the presence of the so-called π-triplet order parameter [10][11][12], which is necessarily nonzero if both M and the d-wave order parameter ∆ are nonzero. Note that the π-triplet is a kind of pair-density wave [13][14][15]. However, it is different from the pair-density wave observed experimentally in scanning tunnelling microscopy [16].…”

Section: Introductionmentioning

confidence: 73%

Coexistence of superconductivity and antiferromagnetism in the Hubbard model for cuprates

et al. 2019

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Antiferromagnetism and d-wave superconductivity are the most important competing ground-state phases of cuprate superconductors. Using cellular dynamical mean-field theory (CDMFT) for the Hubbard model, we revisit the question of the coexistence and competition of these phases in the one-band Hubbard model with realistic band parameters and interaction strengths. With an exact diagonalization solver, we improve on previous works with a more complete bath parametrization which is carefully chosen to grant the maximal possible freedom to the hybridization function for a given number of bath orbitals. Compared with previous incomplete parametrizations, this general bath parametrization shows that the range of microscopic coexistence of superconductivity and antiferromagnetism is reduced for band parameters for Nd 2−x Ce x CuO 4 , and confined to electron-doping with parameters relevant for YBa 2 Cu 3 O 7−X .

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Section: Introductionmentioning

confidence: 73%

Coexistence of superconductivity and antiferromagnetism in the Hubbard model for cuprates

et al. 2019

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“…We note that the Fermi arcs cannot be distinguished from the small Fermi pockets in which only one side is observable, while the other is invisible due to the zero spectral weight 8,9,28 . For similar reasons, the observed maps cannot exclude the existence of a pair density wave state, as the relevant portions of reconstructed FS also carry a vanishing spectral weight in that scenario 29 . To differentiate between these pictures, further theoretical and experimental studies will be required.…”

Section: Resultsmentioning

confidence: 96%

Phase diagram of Bi2Sr2CaCu2O8+δ revisited

et al. 2018

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In cuprate superconductors, the doping of carriers into the parent Mott insulator induces superconductivity and various other phases whose characteristic temperatures are typically plotted versus the doping level p. In most materials, p cannot be determined from the chemical composition, but it is derived from the superconducting transition temperature, Tc, using the assumption that the Tc dependence on doping is universal. Here, we present angle-resolved photoemission studies of Bi2Sr2CaCu2O8+δ, cleaved and annealed in vacuum or in ozone to reduce or increase the doping from the initial value corresponding to Tc = 91 K. We show that p can be determined from the underlying Fermi surfaces and that in-situ annealing allows mapping of a wide doping regime, covering the superconducting dome and the non-superconducting phase on the overdoped side. Our results show a surprisingly smooth dependence of the inferred Fermi surface with doping. In the highly overdoped regime, the superconducting gap approaches the value of 2Δ0 = (4 ± 1)kBTc

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“…40 The zero field PDW was only observed with the same vector as charge modulations. These observations inspired several theoretical works [41][42][43] indicating their importance in the PG phase, but with no consensus on whether the fundamental state is a PDW or a charge ordered state. In our formulation, we provide, for the first time, a viewpoint based on 'fractionalized' PDW which is the fundamental object.…”

Section: A General Introductionmentioning

confidence: 79%

“…Again we have used the notation η k +/−/z for the Fourier transform of i,δ=±ûx,±ûy η +/−/z (i, i + δ) where η +/−/z (i, i + δ) is defined in Eq. (43). As mentioned in the main text, η k + and η k − has the form of a PDW with s-wave nature, though there is a prefactor λ Q/2 which depends on the modulation wave vector.…”

Section: Pdw (η)-Fluctuations From the Chiral Modelmentioning

confidence: 84%

“…STM observation 39,40 of PDW order, 131 with both Q and Q/2 modulations, in the halo surrounding vortex cores of BSCCO has inspired many theoretical works. [41][42][43] While some theoretical works consider the Q/2 PDW order as the 'mother state' which drives the pseudo-gap phenomenology, 42 others treat the Q/2 PDW order as a competitor of the d-SC order. 41 Within our theory, the PDW order emerges as a composite field of the p-p and p-h pairs.…”

Section: Pair Density Waves In the Vortex Halosmentioning

confidence: 99%

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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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Quantum oscillations in a biaxial pair density wave state

Cited by 35 publications

References 33 publications

Coexistence of superconductivity and antiferromagnetism in the Hubbard model for cuprates

Coexistence of superconductivity and antiferromagnetism in the Hubbard model for cuprates

Phase diagram of Bi2Sr2CaCu2O8+δ revisited

Fractionalized pair density wave in the pseudogap phase of cuprate superconductors

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