Superconductivity, charge density waves, and bipolarons in the Holstein model

B. Nosarzewski, E. W. Huang, Philip M. Dee, I. Esterlis, B. Moritz, S. A. Kivelson, S. Johnston, and T. P. Devereaux
Phys. Rev. B 103, 235156 – Published 24 June 2021

Abstract

The electron-phonon (eph) interaction remains of great interest in condensed matter physics and plays a vital role in realizing superconductors, charge density waves (CDW), and polarons. We study the two-dimensional Holstein model for eph coupling using determinant quantum Monte Carlo across a wide range of its phase diagram as a function of temperature, electron density, dimensionless eph coupling strength, and the adiabatic ratio of the phonon frequency to the Fermi energy. We describe the behavior of the CDW correlations, the competition between superconducting and CDW orders and polaron formation, the optimal conditions for superconductivity, and the transition from the weak-coupling regime to the strong-coupling regime. Superconductivity is optimized at intermediate eph coupling strength and intermediate electron density, and the superconducting correlations increase monotonically with phonon frequency. The global maximum for superconductivity in the Holstein model occurs at large phonon frequency, the limit where an attractive Hubbard model effectively describes the physics.

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  • Received 16 March 2021
  • Revised 9 June 2021
  • Accepted 9 June 2021

DOI:https://doi.org/10.1103/PhysRevB.103.235156

©2021 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

B. Nosarzewski1,2, E. W. Huang1,2,3, Philip M. Dee4, I. Esterlis1,5, B. Moritz2, S. A. Kivelson1, S. Johnston4, and T. P. Devereaux2,6,7

  • 1Department of Physics, Stanford University, Stanford, California 94305, USA
  • 2Stanford Institute for Materials and Energy Sciences (SIMES), SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
  • 3Department of Physics and Institute of Condensed Matter Theory, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
  • 4Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
  • 5Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
  • 6Department of Materials Science and Engineering, Stanford University, Stanford, California 94305, USA
  • 7Geballe Laboratory for Advanced Materials, Stanford University, Stanford, California 94305, USA

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Issue

Vol. 103, Iss. 23 — 15 June 2021

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