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The Superconducting d-wave Pairing and Antiferromagnetic Order on the Coupled Hubbard Ladders: A Quantum Monte Carlo Study

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Abstract

Using determinant quantum Monte Carlo algorithm, we study the superconducting d-wave pairing and antiferromagnetic order on the coupled Hubbard ladders. With the presence of the next-nearest-neighbor hopping \(t'=-0.25\), we find that, when the hopping strength among ladders decreases, the d-wave pairing is firstly enhanced and then gets suppressed, showing an optimal hopping inhomogeneity for the d-wave pairing. Without the next-nearest-neighbor hopping, however, the d-wave pairing is suppressed monotonically, i.e., no optimal inhomogeneity exists. We also measure the antiferromagnetic structure factor, which also presents an optimal inhomogeneity with the next-nearest-neighbor hopping \(t'=-0.25\), and no such optimal inhomogeneity when \(t'=0.0\). The effect of different temperature, interaction strength, electron density, and lattice size is carefully studied and discussed.

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This work is sponsored by the Natural Science Foundation of Chongqing, China (Grant No. cstc2021jcyj-msxmX1009).

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  1. School of Physics, Harbin Institute of Technology, Harbin, 150001, China

    Xingcan Liu, Shuhui Yang & Tao Ying

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  1. Xingcan Liu
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Liu, X., Yang, S. & Ying, T. The Superconducting d-wave Pairing and Antiferromagnetic Order on the Coupled Hubbard Ladders: A Quantum Monte Carlo Study. J Supercond Nov Magn 36, 83–90 (2023). https://doi.org/10.1007/s10948-022-06446-8

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