Superconducting and pseudogap effects on the interplane conductivity and Raman scattering cross section in the two-dimensional Hubbard model

Gull, Emanuel; Millis, Andrew J.

doi:10.1103/physrevb.88.075127

Cited by 23 publications

(22 citation statements)

References 93 publications

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“…The method is a non-perturbative short correlation length approximation and is controlled in the sense that as N c is increased it converges to the exact limit232761. Throughout this paper we use N c =8, a compromise between accuracy and efficiency that has previously been shown to capture much of the single-particle1213143462 and two-particle2829 physics observed in experiment and shows a qualitatively correct phase diagram for the pseudogapped and superconducting phases63646566. The interaction strength U =6 t is large enough to exhibit a clear pseudogap state but presumably slightly smaller than seen in experiment, having an optimal doping and pseudogap onset closer to half filling29.…”

Section: Methodsmentioning

confidence: 99%

Simulation of the NMR response in the pseudogap regime of the cuprates

2017

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The pseudogap in the cuprate high-temperature superconductors was discovered as a suppression of the Knight shift and spin relaxation time measured in nuclear magnetic resonance (NMR) experiments. However, theoretical understanding of this suppression in terms of the magnetic susceptiblility of correlated itinerant fermion systems was so far lacking. Here we study the temperature and doping evolution of these quantities on the two-dimensional Hubbard model using cluster dynamical mean field theory. We recover the suppression of the Knight shift and the linear-in-T spin echo decay that increases with doping. The relaxation rate shows a marked increase as T is lowered but no indication of a pseudogap on the Cu site, and a clear downturn on the O site, consistent with experimental results on single layer materials but different from double layer materials. The consistency of these results with experiment suggests that the pseudogap is well described by strong short-range correlation effects.

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Section: Methodsmentioning

confidence: 99%

Simulation of the NMR response in the pseudogap regime of the cuprates

2017

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“…Quantum Monte Carlo (QMC) solvers, especially state of the art continuous-time (CT-QMC) solvers [27] are free of bath parametrization ambiguities. Up to now, CT-QMC solvers have been used to study only the superconducting [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42] and the antiferromagnetic phases [28,43,44] separately. In principle, the question of coexistence can be addressed with these approaches, but this has yet to be done.…”

Section: Introductionmentioning

confidence: 99%

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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“…When the solution converges to a pure dSC state instead of microscopic AF+dSC, the superfluid stiffness obtained with either periodizations, namely Eq. (20) or (23), are indistiguishable on the plots.…”

Section: Coexistence Regime Dsc + Afmentioning

confidence: 95%

“…The best way to take Mott physics into account in two dimensions is to use cluster generalizations of dynamical mean-field theory [17][18][19] for the Hubbard model. The only calculation of superfluid stiffness using these methods was done in the uniform superconducting state 20 , not in a phase where superconductivity coexists microscopically with antiferromagnetism. By microscopic coexistence, which we are interested in, we mean that both order parameters are present simultaneously and homogeneously in the ground state.…”

Section: Introductionmentioning

confidence: 99%

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Superfluid stiffness in cuprates: Effect of Mott transition and phase competition

et al. 2019

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Superfluid stiffness ρs is a defining characteristic of the superconducting state, allowing phase coherence and supercurrent. It is accessible experimentally through the penetration depth. Coexistence of d-wave superconductivity with other phases in underdoped cuprates, such as antiferromagnetism (AF) or charge-density waves (CDW), may drastically alter ρs. To shed light on this physics, the zero-temperature value of ρs = ρzz along the c-axis was computed for different values of Hubbard interaction U and different sets of tight-binding parameters describing the high-temperature superconductors YBCO and NCCO. We used Cellular Dynamical Mean-Field Theory for the one-band Hubbard model with exact diagonalization as impurity solver and state-of-the-art bath parametrization. We conclude that Mott physics plays a dominant role in determining the superfluid stiffness on the hole-doped side of the phase diagram. On the electron-doped side, antiferromagnetism wins over superconductivity near half-filling. But upon approaching optimal electron-doping, homogeneous coexistence between superconductivity and antiferromagnetism causes the superfluid stiffness to drop sharply. Hence, on the electron-doped side, it is competition between antiferromagnetism and d-wave superconductivity that plays a dominant role in determining the value of ρzz near half-filling. At large overdoping, ρzz behaves in a more BCS-like manner in both the electron-and hole-doped cases. We comment on some qualitative implications of these results for the superconducting transition temperature.

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Superconducting and pseudogap effects on the interplane conductivity and Raman scattering cross section in the two-dimensional Hubbard model

Cited by 23 publications

References 93 publications

Simulation of the NMR response in the pseudogap regime of the cuprates

Simulation of the NMR response in the pseudogap regime of the cuprates

Coexistence of superconductivity and antiferromagnetism in the Hubbard model for cuprates

Superfluid stiffness in cuprates: Effect of Mott transition and phase competition

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