Modeling Unconventional Superconductivity at the Crossover between Strong and Weak Electronic Interactions

Morten H. Christensen, Xiaoyu Wang, Yoni Schattner, Erez Berg, Rafael M. Fernandes

Research output: Contribution to journalArticlepeer-review

Abstract

High-temperature superconductivity emerges in many different quantum materials, often in regions of the phase diagram where the electronic kinetic energy is comparable to the electron-electron repulsion. Describing such intermediate-coupling regimes has proven challenging as standard perturbative approaches are inapplicable. Here, we employ quantum Monte Carlo methods to solve a multiband Hubbard model that does not suffer from the sign problem and in which only repulsive interband interactions are present. In contrast to previous sign-problem-free studies, we treat magnetic, superconducting, and charge degrees of freedom on an equal footing. We find an antiferromagnetic dome accompanied by a metal-to-insulator crossover line in the intermediate-coupling regime, with a smaller superconducting dome appearing in the metallic region. Across the antiferromagnetic dome, the magnetic fluctuations change from overdamped in the metallic region to propagating in the insulating region. Our findings shed new light on the intertwining between superconductivity, magnetism, and charge correlations in quantum materials.

Original languageEnglish (US)
Article number247001
JournalPhysical review letters
Volume125
Issue number24
DOIs
StatePublished - Dec 7 2020

Bibliographical note

Funding Information:
We thank A. Chubukov, A. Klein, Z. Y. Meng, and O. Vafek for fruitful discussions. M. H. C. and R. M. F. are supported by the U.S. Department of Energy, Office of Science, Basic Energy Sciences, Materials Science and Engineering Division, under Award No. DE-SC0020045. R. M. F. also acknowledges partial support from the Research Corporation for Science Advancement via the Cottrell Scholar Award. X. W. acknowledges financial support from National MagLab, which is funded by the National Science Foundation (DMR-1644779) and the state of Florida. Y. S. was supported by the Department of Energy, Office of Basic Energy Sciences, under Contract No. DE-AC02-76SF00515 at Stanford, by the Gordon and Betty Moore Foundation’s EPiQS Initiative through Grant Nos. GBMF4302 and GBMF8686, and by the Zuckerman STEM Leadership Program. E. B. was supported by the European Research Council (ERC) under grant HQMAT (Grant No. 817799), the US-Israel Binational Science Foundation (BSF), the Minerva Foundation, and a research grant from Irving and Cherna Moskowitz. We thank the Minnesota Supercomputing Institute (MSI) at the University of Minnesota, where a part of the numerical computations was performed.

Funding Information:
We thank A. Chubukov, A. Klein, Z.Y. Meng, and O. Vafek for fruitful discussions. M.H.C. and R.M.F. are supported by the U.S. Department of Energy, Office of Science, Basic Energy Sciences, Materials Science and Engineering Division, under Award No.?DE-SC0020045. R.M.F. also acknowledges partial support from the Research Corporation for Science Advancement via the Cottrell Scholar Award. X.W. acknowledges financial support from National MagLab, which is funded by the National Science Foundation (DMR-1644779) and the state of Florida. Y.S. was supported by the Department of Energy, Office of Basic Energy Sciences, under Contract No.?DE-AC02-76SF00515 at Stanford, by the Gordon and Betty Moore Foundation?s EPiQS Initiative through Grant Nos.?GBMF4302 and GBMF8686, and by the Zuckerman STEM Leadership Program. E.B. was supported by the European Research Council (ERC) under grant HQMAT (Grant No.?817799), the US-Israel Binational Science Foundation (BSF), the Minerva Foundation, and a research grant from Irving and Cherna Moskowitz. We thank the Minnesota Supercomputing Institute (MSI) at the University of Minnesota, where a part of the numerical computations was performed.

Publisher Copyright:
© 2020 American Physical Society.

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