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

Nosarzewski, B.; Huang, E. W.; Dee, Philip M.; Esterlis, I.; Moritz, B.; Kivelson, S. A.; Johnston, S.; Devereaux, T. P.

doi:10.1103/physrevb.103.235156

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

Journal Article · Thu Jun 24 00:00:00 EDT 2021 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.103.235156· OSTI ID:1814174

Nosarzewski, B. ^[1]; Huang, E. W. ^[2]; Dee, Philip M. ^[3]; Esterlis, I. ^[4]; ^[5]; ^[6]; Johnston, S. ^[3]; Devereaux, T. P. ^[7]

Stanford Univ., CA (United States). Dept. of Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
Stanford Univ., CA (United States). Dept. of Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES); Univ. of Illinois at Urbana-Champaign, IL (United States). Dept. of Physics and Institute of Condensed Matter Theory
Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy
Stanford Univ., CA (United States). Dept. of Physics; Harvard Univ., Cambridge, MA (United States). Dept. of Physics
SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
Stanford Univ., CA (United States). Dept. of Physics
SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES); Stanford Univ., CA (United States). Dept. of Materials Science and Engineering; Stanford Univ., CA (United States). Geballe Lab. for Advanced Materials

The electron-phonon ( e-ph ) 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 e-ph coupling using determinant quantum Monte Carlo across a wide range of its phase diagram as a function of temperature, electron density, dimensionless e-ph 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 e-ph 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.

View Accepted Manuscript (DOE)

Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1814174

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 23 Vol. 103; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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