Suppression of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-wave superconductivity in the checkerboard Hubbard model

Doluweera, D. G. S. P.; Macridin, Alexandru; Maier, Thomas; Jarrell, Mark; Pruschke, Thomas

doi:10.1103/physrevb.78.020504

Cited by 21 publications

(33 citation statements)

References 36 publications

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“…In the context of an attempt to determine whether there is an "optimal inhomogeneity for superconductivity," this model has been studied previously for intermediate values of U using exact diagonalization, 21 DMRG, 22 CORE, 23 and DCA. 24,25 Similar conclusions have been reached concerning an enhancement of T c for intermediate strength of the checkerboard potential in all but the DCA results. (We speculate that the DCA results are probably artifacts of the small cluster sizes used in those calculations.)…”

Section: Checkerboard Modelsupporting

confidence: 77%

Band structure effects on the superconductivity in Hubbard models

et al. 2013

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We study the influence of the band structure on the symmetry and superconducting transition temperature in the (solvable) weak-coupling limit of the repulsive Hubbard model. Among other results we find that (1) as a function of increasing nematicity, starting from the square-lattice (zero nematicity) limit where a nodal d-wave state is strongly preferred, there is a smooth evolution to the quasi-1D limit, where a striking near-degeneracy is found between a p-wave-and a d-wave-type paired states with accidental nodes on the quasi-one-dimensional Fermi surfaces-a situation that may be relevant to the Bechgaard salts. (2) In a bilayer system, we find a phase transition as a function of increasing bilayer coupling from a d-wave to an s±-wave state reminiscent of the ironbased superconductors. (3) When an antinodal gap is produced by charge-density-wave order, not only is the pairing scale reduced, but the symmetry of the pairs switches from d x 2 −y 2 to dxy; in the context of the cuprates, this suggests that were the pseudo-gap entirely due to a competing CDW order, this would likely cause a corresponding symmetry change of the superconducting order (which is not seen in experiment).

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Section: Checkerboard Modelsupporting

confidence: 77%

Band structure effects on the superconductivity in Hubbard models

et al. 2013

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“…Other examples are the 'plaquette' model studied by Scalapino 52 , Kivelson, 53 and others, [54][55][56][57]66 as a description of superconductivity arising from pair binding on 2 × 2 plaquettes, and the 1/5-depleted square lattice 23,58,59 for which the results in the left panel of Fig. 12 show the improvement of the sign by increasing the inter-plaquette hopping t ′ from zero.…”

Section: Spatial Entanglementmentioning

confidence: 99%

Geometry dependence of the sign problem in quantum Monte Carlo simulations

2015

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The sign problem is the fundamental limitation to quantum Monte Carlo simulations of the statistical mechanics of interacting fermions. Determinant quantum Monte Carlo (DQMC) is one of the leading methods to study lattice models such as the Hubbard Hamiltonian, which describe strongly correlated phenomena including magnetism, metal-insulator transitions, and (possibly) exotic superconductivity. Here, we provide a comprehensive dataset on the geometry dependence of the DQMC sign problem for different densities, interaction strengths, temperatures, and spatial lattice sizes. We supplement these data with several observations concerning general trends in the data, including the dependence on spatial volume and how this can be probed by examining decoupled clusters, the scaling of the sign in the vicinity of a particle-hole symmetric point, and the correlation between the total sign and the signs for the individual spin species.

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“…Whether the presence of incommensurate spin and density order competes with or helps the emergence of superconductivity (SC) in real materials is in general unsettled [37,38]. Theoretical studies report both suppression and enhancement of dSC order with inhomogeneity [39][40][41][42][43][44], depending on the inhomogeneity pattern and strength, interaction strength and doping of the system. A much studied inhomogeneity pattern is the 2D Hubbard model on a checkerboard lattice where the strong and weak nearest neighbor hopping amplitudes alternate along both directions [41,[43][44][45][46].…”

Section: Introductionmentioning

confidence: 99%

Magnetization, d -wave superconductivity, and non-Fermi-liquid behavior in a crossover from dispersive to flat bands

2019

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We explore the effect of inhomogeneity on electronic properties of the two dimensional Hubbard model on a square lattice using dynamical mean field theory (DMFT). The inhomogeneity is introduced via modulated lattice hopping such that in the extreme inhomogeneous limit the resulting geometry is a Lieb lattice, which exhibits a flat-band dispersion. The crossover can be observed in the uniform sublattice magnetization which is zero in the homogeneous case and increases with the inhomogeneity. Studying the spatially resolved frequency dependent local self-energy, we find a crossover from Fermi-liquid to non-Fermi-liquid behavior happening at a moderate value of the inhomogeneity. This emergence of a non-Fermi-liquid is concomitant of a quasi-flat band. For finite doping the system with small inhomogeneity displays d-wave superconductivity coexisting with incommensurate spin-density order, inferred from the presence of oscillatory DMFT solutions. The d-wave superconductivity gets suppressed for moderate to large inhomogeneity for any finite doping while the incommensurate spin-density order still exist.

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Suppression ofd-wave superconductivity in the checkerboard Hubbard model

Cited by 21 publications

References 36 publications

Band structure effects on the superconductivity in Hubbard models

Band structure effects on the superconductivity in Hubbard models

Geometry dependence of the sign problem in quantum Monte Carlo simulations

Magnetization, d -wave superconductivity, and non-Fermi-liquid behavior in a crossover from dispersive to flat bands

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