Pairing in a dry Fermi sea

Maier, Thomas; Staar, Peter; Mishra, Vivek; Chatterjee, U. K.; Campuzano, J. C.; Scalapino, D. J.

doi:10.1038/ncomms11875

Cited by 29 publications

(23 citation statements)

References 24 publications

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“…4. In general, these quantities display a very similar temperature dependence as observed in previous work for the weakly doped singleband Hubbard model in the pseudogap regime [54].…”

Section: B Results Without Next-nearest-neighbor Inter-layer Hoppingsupporting

confidence: 85%

Superconductivity in the bilayer Hubbard model: Are two Fermi surfaces better than one?

Karakuzu,

Johnston,

Maier

2021

Preprint

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Fully occupied or unoccupied bands in a solid are often considered inert and irrelevant to a material's low-energy properties. But the discovery of enhanced superconductivity in heavily electron-doped FeSe-derived superconductors poses questions about the possible role of incipient bands (those laying close to but not crossing the Fermi level) in pairing. To answer this question, researchers have studied pairing correlations in the bilayer Hubbard model, which has an incipient band for large interlayer hopping t ⊥ , using many-body perturbation theory and variational methods. They have generally found that superconductivity is enhanced as one of the bands approaches the Liftshiz transition and even when it becomes incipient. Here, we address this question using the nonperturbative quantum Monte Carlo (QMC) dynamical cluster approximation (DCA) to study the bilayer Hubbard model's pairing correlations. We find that the model has robust s± pairing correlations in the large t ⊥ limit, which can become stronger as one band is made incipient. While this behavior is linked to changes in the effective interaction, we further find that it is counteracted by a suppression of the intrinsic pair-field susceptibility and does not translate to an increased Tc.Our results demonstrate that the highest achievable transition temperatures in the bilayer Hubbard model occur when the system has two bands crossing the Fermi level.

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“…4. In general, these quantities display a very similar temperature dependence as observed in previous work for the weakly doped singleband Hubbard model in the pseudogap regime [54].…”

Section: B Results Without Next-nearest-neighbor Inter-layer Hoppingsupporting

confidence: 85%

Superconductivity in the bilayer Hubbard model: Are two Fermi surfaces better than one?

Karakuzu,

Johnston,

Maier

2021

Preprint

View full text Add to dashboard Cite

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“…Moreover, Refs. [64,69,70] established that pseudogap formation and superconducting pairing are both linked through short-ranged spin physics [71][72][73][74][75][76][77][78]. Closer to aforementioned experiments, Refs.…”

mentioning

confidence: 96%

Pseudogap, van Hove singularity, maximum in entropy, and specific heat for hole-doped Mott insulators

Reymbaut

Bergeron

Garioud

et al. 2019

Phys. Rev. Research

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The first indication of a pseudogap in cuprates came from a sudden decrease of NMR Knight shift at a doping-dependent temperature T * (δ). Since then, experiments have found phase transitions at a lower T * phase (δ). Using plaquette cellular dynamical mean-field for the square-lattice Hubbard model at high temperature, where the results are reliable, we show that T * (δ) shares many features of T * phase (δ). The remarkable agreement with several experiments, including quantum critical behavior of the electronic specific heat, supports the view that the pseudogap is controlled by a finite-doping extension of the Mott transition. We propose further experimental tests. PACS numbers: 71.30.+h, 74.25.Dw, 71.10.Fd Below a doping-dependent temperature T * , early studies of cuprate high temperature superconductors found a decrease in NMR Knight shift [1-5]. This freezing of uniform spin fluctuations, a thermodynamic quantity, became the first signature of what is widely referred to as the pseudogap, one of the remaining challenges for theory. With time, another definition of the pseudogap became more popular. Polarized neutron diffraction [6-8], Nernst effect measurements [9], ultrasound measurements [10], terahertz polarimetry [11] and optical anisotropy measurements [12] report that the prototypical YBa 2 Cu 3 O y undergoes a thermodynamic phase transition that breaks time-reversal, spatial inversion, twofold rotational, four-fold rotational and mirror symmetries below a doping-dependent temperature T * phase that is distinctly lower than T * at low doping. This suggests that phase transitions are a consequence of the pseudogap first observed in NMR, not the cause [13,14].In this paper, we address the nature of the pseudogap that was first found in NMR. We focus mostly on thermodynamic signatures at high temperature, where cluster generalizations of dynamical mean-field theory provide a reliable theoretical tool. The remarkable agreement that we find with several experiments supports the view that the high-temperature physics of the pseudogap is controlled by a finite-doping extension of the Mott transition that includes superexchange effects [15]. We propose further experimental tests to investigate that hypothesis.

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“…These results provide remarkable support for the validity of the ZRS construction but also indicate that single-band models may not capture the correct longer-ranged correlations without a suitable choice of t 0 . The latter conclusion further underscores the crucial role of t 0 for determining the superconducting properties of the single-band model 8,31,36,37 .…”

Section: In the Online Supplementary Materials)mentioning

confidence: 72%

“…A transition to the superconducting state occurs when the leading eigenvalue λ(T = T c ) = 1, and the magnitude of λ < 1 measures the strength of the normal state pairing correlations. The spatial, frequency, and orbital dependence of the corresponding eigenvector, which is the normal state analog of the superconducting gap, reflects the structure of the pairing interaction 3,8 .…”

Section: Dynamical Cluster Approximationmentioning

confidence: 99%

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Orbital structure of the effective pairing interaction in the high-temperature superconducting cuprates

et al. 2021

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The nature of the effective interaction responsible for pairing in the high-temperature superconducting cuprates remains unsettled. This question has been studied extensively using the simplified single-band Hubbard model, which does not explicitly consider the orbital degrees of freedom of the relevant CuO2 planes. Here, we use a dynamical cluster quantum Monte Carlo approximation to study the orbital structure of the pairing interaction in the three-band Hubbard model, which treats the orbital degrees of freedom explicitly. We find that the interaction predominately acts between neighboring copper orbitals, but with significant additional weight appearing on the surrounding bonding molecular oxygen orbitals. By explicitly comparing these results to those from the simpler single-band Hubbard model, our study provides strong support for the single-band framework for describing superconductivity in the cuprates.

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Pairing in a dry Fermi sea

Cited by 29 publications

References 24 publications

Superconductivity in the bilayer Hubbard model: Are two Fermi surfaces better than one?

Superconductivity in the bilayer Hubbard model: Are two Fermi surfaces better than one?

Pseudogap, van Hove singularity, maximum in entropy, and specific heat for hole-doped Mott insulators

Orbital structure of the effective pairing interaction in the high-temperature superconducting cuprates

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