<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">d</mml:mi></mml:math>-Wave Superconductivity in the Hubbard Model

Maier, Thomas; Jarrell, Mark; Pruschke, Thomas; Keller, J.

doi:10.1103/physrevlett.85.1524

Cited by 154 publications

(90 citation statements)

References 13 publications

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“…In contrast to the CDMFT, the cluster is defined in reciprocal space. We solve the cluster problems with a noncrossing approximation (NCA) which has been shown to provide qualitatively similar results to a numerically exact quantum Monte Carlo method [21,29].…”

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confidence: 83%

Enhanced Superconductivity in Superlattices of High-TcCuprates

Okamoto

Maier

2008

Phys. Rev. Lett.

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confidence: 83%

Enhanced Superconductivity in Superlattices of High-TcCuprates

Okamoto

Maier

2008

Phys. Rev. Lett.

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“…Moreover, it is known from band-structure calculations and experiments that the nextnearest-neighbor (diagonal) hopping integral t constitutes a non-negligible fraction of t [10]. Empirically [11], the superconducting transition scales with the ratio t /t whereas Hubbard-type models predict the opposite trend [12,13]. As a resolution, a two-orbital model-in which hybridization of d z 2 and d x 2 −y 2 states suppresses T c and enhances t -has been put forward [14].…”

Section: Introductionmentioning

confidence: 99%

Damped spin excitations in a doped cuprate superconductor with orbital hybridization

Ivashko

Shaik

et al. 2017

Phys. Rev. B

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A resonant inelastic x-ray scattering study of overdamped spin excitations in slightly underdoped La 2−x Sr x CuO 4 (LSCO) with x = 0.12 and 0.145 is presented. Three high-symmetry directions have been investigated: (1) the antinodal (0,0) → ( 1 2 ,0), (2) the nodal (0,0) → ( 1 4 , 1 4 ), and (3) the zone-boundary direction ( 1 2 ,0) → ( 1 4 , 1 4 ) connecting these two. The overdamped excitations exhibit strong dispersions along (1) and (3), whereas a much more modest dispersion is found along (2). This is in strong contrast to the undoped compound La 2 CuO 4 (LCO) for which the strongest dispersions are found along (1) and (2). The t − t − t − U Hubbard model used to explain the excitation spectrum of LCO predicts-for constant U/t-that the dispersion along (3) scales with (t /t) 2 . However, the diagonal hopping t extracted on LSCO using single-band models is low (t /t ∼ −0.16) and decreasing with doping. We therefore invoked a two-orbital (d x 2 −y 2 and d z 2 ) model which implies that t is enhanced. This effect acts to enhance the zone-boundary dispersion within the Hubbard model. We thus conclude that hybridization of d x 2 −y 2 and d z 2 states has a significant impact on the zone-boundary dispersion in LSCO.

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“…Generalizations of Dynamical Mean-Field Theory are particularly suited for the strong coupling limit, but they are also an excellent guide to the physics at weak to intermediate coupling. [33][34][35][36][37][38][39][40][41][42] , These calculations suggest that pairing is maximized at intermediate coupling, where the on-site interaction U is of order the bandwidth W = 8t. Some non-perturbative calculations based on weak coupling ideas even agree at intermediate coupling 43 with strong-coupling based approaches.…”

Section: Introductionmentioning

confidence: 99%

Resilience ofd-wave superconductivity to nearest-neighbor repulsion

et al. 2013

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Many theoretical approaches find d-wave superconductivity in the prototypical one-band Hubbard model for high-temperature superconductors. At strong-coupling (U ≥ W , where U is the on-site repulsion and W = 8t the bandwidth) pairing is controlled by the exchange energy J = 4t 2 /U . One may then surmise, ignoring retardation effects, that near-neighbor Coulomb repulsion V will destroy superconductivity when it becomes larger than J, a condition that is easily satisfied in cuprates for example. Using Cellular Dynamical Mean-Field theory with an exact diagonalization solver for the extended Hubbard model, we show that pairing at strong coupling is preserved, even when V J, as long as V U/2. While at weak coupling V always reduces the spin fluctuations and hence d-wave pairing, at strong coupling, in the underdoped regime, the increase of J = 4t 2 /(U − V ) caused by V increases binding at low frequency while the pair-breaking effect of V is pushed to high frequency. These two effects compensate in the underdoped regime, in the presence of a pseudogap. While the pseudogap competes with superconductivity, the proximity to the Mott transition that leads to the pseudogap, and retardation effects, protect d-wave superconductivity from V .

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d-Wave Superconductivity in the Hubbard Model

Cited by 154 publications

References 13 publications

Enhanced Superconductivity in Superlattices of High-TcCuprates

Enhanced Superconductivity in Superlattices of High-TcCuprates

Damped spin excitations in a doped cuprate superconductor with orbital hybridization

Resilience ofd-wave superconductivity to nearest-neighbor repulsion

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