Determinant quantum Monte Carlo study of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>d</mml:mi></mml:math>-wave pairing in the plaquette Hubbard hamiltonian

Ying, Tao; Mondaini, Rubem; Sun, Xiudong; Paiva, Thereza; Fye, R. M.; Scalettar, Richard

doi:10.1103/physrevb.90.075121

Cited by 26 publications

(14 citation statements)

References 44 publications

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“…2) It was proposed in ref. 22 and further developed in a variety of subsequent papers (23)(24)(25)(26)(27)(28) that static or slowly fluctuating CDW order could produce a form of "optimally inhomogeneous" electronic structure that could enhance SC.…”

Section: Superconductivity | Hubbard Model | Stripes | Doped Quantum Paramagnetmentioning

confidence: 99%

Stripe order enhanced superconductivity in the Hubbard model

Jiang

Kivelson

2021

Proc. Natl. Acad. Sci. U.S.A.

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Unidirectional (“stripe”) charge density wave order has now been established as a ubiquitous feature in the phase diagram of the cuprate high-temperature superconductors, where it generally competes with superconductivity. Nonetheless, on theoretical grounds it has been conjectured that stripe order (or other forms of “optimal” inhomogeneity) may play an essential positive role in the mechanism of high-temperature superconductivity. Here, we report density matrix renormalization group studies of the Hubbard model on long four- and six-leg cylinders, where the hopping matrix elements transverse to the long direction are periodically modulated—mimicking the effect of putative period 2 stripe order. We find that even modest amplitude modulations can enhance the long-distance superconducting correlations by many orders of magnitude and drive the system into a phase with a substantial spin gap and superconducting quasi–long-range order with a Luttinger exponent, Ksc∼1.

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Section: Superconductivity | Hubbard Model | Stripes | Doped Quantum Paramagnetmentioning

confidence: 99%

Stripe order enhanced superconductivity in the Hubbard model

Jiang

Kivelson

2021

Proc. Natl. Acad. Sci. U.S.A.

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“…2) It was proposed in Ref. [22], and further developed in a variety of subsequent papers [23][24][25][26][27][28], that static or slowly fluctuating CDW order could produce a form of "optimally inhomogeneous" electronic structure that could enhance SC.…”

mentioning

confidence: 99%

Stripe order enhanced superconductivity in the Hubbard model

Jiang,

Kivelson

2021

Preprint

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Unidirectional ("stripe") charge-density-wave order has now been established as a ubiquitous feature in the phase diagram of the cuprate high temperature (HT) superconductors, where it generally competes with superconductivity (SC). None-the-less, on theoretical grounds it has been conjectured that stripe order (or other forms of "optimal" inhomogeneities) may play an essential positive role in the mechanism of HTSC. Here we report density matrix renormalization group studies of the Hubbard model on long 4 and 6 leg cylinders where the hopping matrix elements transverse to the long direction are periodically modulated -mimicing the effect of putative period-2 stripe order. We find even modest amplitude modulations can enhance the long-distance SC correlations by many orders of magnitude, and drive the system into a phase with a substantial spin gap and SC quasi-long-range-order with a Luttinger exponent, Ksc ∼ 1.

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“…Dynamical cluster approximation (DCA) finds monotonic decrease of the critical temperature with strength of the inhomogeneity [41]. In contrast, DQMC calculations for similar inhomogeneity pattern find an optimal value for which the pair vertex is most attractive [40]. In both approaches the dSC order eventually vanishes for large inhomogeneity.…”

Section: Doped Hubbard Modelmentioning

confidence: 97%

“…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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Determinant quantum Monte Carlo study ofd-wave pairing in the plaquette Hubbard hamiltonian

Cited by 26 publications

References 44 publications

Stripe order enhanced superconductivity in the Hubbard model

Stripe order enhanced superconductivity in the Hubbard model

Stripe order enhanced superconductivity in the Hubbard model

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

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