Superconductivity in the Hubbard model and its interplay with charge stripes and next-nearest hopping t'

Abstract

We report a large-scale density-matrix renormalization group study of the lightly doped Hubbard model on 4-leg cylinders at hole doping concentration $\delta =12.5\%$. By keeping a large number of states for long system sizes, we are able to reveal a delicate interplay between superconductivity and charge and spin density wave orders tunable via next-nearest neighbor hopping t'. For finite t', the ground state is consistent with that of a Luther-Emery liquid, having `half-filled' charge stripes with power-law superconducting and charge-density-wave correlations of wave-length $\lambda =1/2\delta$, but short-range spin correlations. This is in direct contrast to the case with t'=0, where superconducting correlations fall off exponentially while charge- and spin-density modulations are dominant. Our results indicate that a route to robust long-range superconductivity involves destabilizing insulating charge stripes in the doped Hubbard model.

5 pages, 4 figures and supplemental material. arXiv admin note: text overlap with arXiv:1805.11163

References in corpus (4)

• Superconductivity in the Hubbard model and its interplay with charge stripes and next-nearest hopping t'
• Stripe order from the perspective of the Hubbard model
• Hybrid-space density matrix renormalization group study of the doped two-dimensional Hubbard model
• Superconductivity in the doped $t$-$J$ model: results for four-leg cylinders

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