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• W1574348375 abstract "We utilize numerical linked-cluster expansions (NLCEs) and the determinantal quantum Monte Carlo algorithm to study pairing correlations in the square-lattice Hubbard model. To benchmark the NLCE, we first locate the finite-temperature phase transition of the attractive model to a superconducting state away from half filling. We then explore the superconducting properties of the repulsive model for the $d$-wave and extended $s$-wave pairing symmetries. The pairing structure factor shows a strong tendency to $d$-wave pairing and peaks at an interaction strength comparable to the bandwidth. The extended $s$-wave structure factor and correlation length are larger at higher temperatures but clearly saturate as temperature is lowered, whereas the $d$-wave counterparts, which start off lower at high temperatures, continue to rise near half filling. This rise is even more dramatic in the $d$-wave susceptibility. The convergence of NLCEs breaks down as the susceptibilities and correlation lengths become large, so we are unable to determine the onset of long-range order. However, our results extend the conclusion, previously restricted to only magnetic and charge correlations, that NLCEs offer a unique window into pairing in the Hubbard model at strong coupling." @default.
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• W1574348375 date "2015-06-18" @default.
• W1574348375 modified "2023-10-13" @default.
• W1574348375 title "Finite-temperature superconducting correlations of the Hubbard model" @default.
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• W1574348375 doi "https://doi.org/10.1103/physrevb.91.241107" @default.
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