摘要
Increasing numerical studies showed that the simplest Hubbard model on the square lattice with strong repulsion may not exhibit high-temperature superconductivity(SC).It is desired to look for other possible microscopic mechanism of realizing high-temperature SC.Here,we explore the interplay between the Su–Schrieffer–Heeger(SSH)electron–phonon coupling(EPC)and the Hubbard repulsion by density-matrix-renormalization-group(DMRG)simulations.Our state-of-the-art DMRG study showed convincingly that the interplay between strong Hubbard U and moderate Su–Schrieffer–Heeger EPCcan induce robust d-wave SC.The SSH-type EPC can generate effective antiferromagnetic spin-exchange interactions between neighboring sites,which plays a crucial role in the interplay of inducing robust d-wave SC.Specifically,for,we find that d-wave SC emerges whenwith a moderate critical value=0.1–0.2.Our results might shed new light to understanding high-temperature SC in cuprates as well as pave a possible new route in looking for high-temperature SC in other quantum materials with both strong U and moderate.
基金
supported in part by the MOSTC(2021YFA1400100)
the National Natural Science Foundation ofChina(12347107 and 12334003),the Ministry of Science and Technology of China(2022YFA1402703)
the Shanghai Pujiang Program(21PJ1410300).
