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 microscop...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.展开更多
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).
文摘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.