Optimal inhomogeneity for pairing in Hubbard systems with next-nearest-neighbor hopping

Wachtel, Gideon; Baruch, Shirit; Orgad, Dror

doi:10.1103/physrevb.96.064527

Cited by 10 publications

(6 citation statements)

References 47 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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“…On the other hand, the hopping of electrons between nextnearest-neighbor (NNN) sites is believed to have important influence on the superconducting pairing mechanism, as has been revealed in the previous studies of the Hubbard model with NNN hopping t [36][37][38][39][40][41][42][43][44]. Those studies mainly focus on some special parameter regions, to study the effect of t on the magnetization, pairing mechanism and superconductivity.…”

Section: Introductionmentioning

confidence: 99%

Quantum Monte Carlo study of the Hubbard model with next-nearest-neighbor hopping t′: pairing and magnetism

Yang

Ying

et al. 2020

J. Phys.: Condens. Matter

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Using the finite-temperature determinant quantum Monte Carlo (DQMC) algorithm, we study the pairing symmetries of the Hubbard Hamiltonian with next-nearest-neighbor (NNN) hopping t′ on square lattices. By varying the value of t′, we find that the d-wave pairing is suppressed by the onset of t′, while the p + ip-wave pairing tends to emerge for low electron density and t′ around −0.7. Together with the calculation of the anti-ferromagnetic and ferromagnetic spin correlation function, we explore the relationship between anti-ferromagnetic order and the d-wave pairing symmetry, and the relationship between ferromagnetic order and the p + ip-wave pairing symmetry. Our results may be useful for the exploration of the mechanism of the electron pairing symmetries, and for the realization of the exotic p + ip-wave superconductivity.

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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.

show abstract

Optimal inhomogeneity for pairing in Hubbard systems with next-nearest-neighbor hopping

Cited by 10 publications

References 47 publications

Stripe order enhanced superconductivity in the Hubbard model

Stripe order enhanced superconductivity in the Hubbard model

Quantum Monte Carlo study of the Hubbard model with next-nearest-neighbor hopping t′: pairing and magnetism

Stripe order enhanced superconductivity in the Hubbard model

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