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Bipolaronic superconductivity out of a Coulomb gas

J. Sous1,2,*,†, C. Zhang3,*,‡, M. Berciu4,5, D. R. Reichman6, B. V. Svistunov7,8, N. V. Prokof'ev7, and A. J. Millis9,10,§

  • 1Department of Physics, Stanford University, Stanford, California 93405, USA
  • 2Stanford Institute for Theoretical Physics, Department of Physics, Stanford University, Stanford, California 93405, USA
  • 3Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China and Hefei National Laboratory, University of Science and Technology of China, Hefei, Anhui 230088, China
  • 4Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z1
  • 5Stewart Blusson Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z4
  • 6Department of Chemistry, Columbia University, New York, New York 10027, USA
  • 7Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA
  • 8Wilczek Quantum Center, School of Physics and Astronomy and T. D. Lee Institute, Shanghai Jiao Tong University, Shanghai 200240, China
  • 9Department of Physics, Columbia University, New York, New York 10027, USA
  • 10Center for Computational Quantum Physics, Flatiron Institute, 162 5th Avenue, New York, New York 10010, USA

  • *These authors contributed equally to this work.
  • †Present address: Department of Chemistry and Biochemistry, University of California, San Diego, La Jolla, California 92093, USA.
  • ‡Author to whom correspondence should be addressed: zhangchao1986sdu@gmail.com
  • §Author to whom correspondence should be addressed: ajm2010@columbia.edu
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Phys. Rev. B 108, L220502 – Published 13 December, 2023

DOI: https://doi.org/10.1103/PhysRevB.108.L220502

Abstract

Employing an unbiased sign-problem-free quantum Monte Carlo approach, we investigate the effects of long-range Coulomb forces on Bose-Einstein condensation of bipolarons using a model of bond phonon-modulated electron hopping. In the absence of long-range repulsion, this model was recently shown to give rise to small-size light-mass bipolarons that undergo a superfluid transition at high values of the critical transition temperature Tc. We find that Tc in our model, even with the long-range Coulomb repulsion, remains much larger than that of Holstein bipolarons and can be on the order of or greater than the typical upper bounds on phonon-mediated Tc based on the Migdal-Eliashberg and McMillan approximations. Our work points to a physically simple mechanism for superconductivity in the low-density regime that may be relevant to current experiments on dilute superconductors.

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Phys. Rev. B 108, L220502– Published 13 December, 2023
  • Received 4 December 2022
  • Revised 2 July 2023
  • Accepted 6 November 2023
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