Breakdown of the Migdal-Eliashberg theory: A determinant quantum Monte Carlo study

Esterlis, I.; Nosarzewski, B.; Huang, E. W.; Moritz, B.; Devereaux, T. P.; Scalapino, D. J.; Kivelson, S. A.

doi:10.1103/physrevb.97.140501

Breakdown of the Migdal-Eliashberg theory: A determinant quantum Monte Carlo study

Journal Article · Mon Apr 02 00:00:00 EDT 2018 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.97.140501· OSTI ID:1436079

Esterlis, I. ^[1]; Nosarzewski, B. ^[2]; Huang, E. W. ^[2]; Moritz, B. ^[3]; Devereaux, T. P. ^[4]; Scalapino, D. J. ^[5]; Kivelson, S. A. ^[6]

Stanford Univ., CA (United States). Dept. of Physics
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)
SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES)
SLAC National Accelerator Lab., Menlo Park, CA (United States). Stanford Institute for Materials and Energy Science (SIMES); Stanford Univ., CA (United States). Geballe Lab. for Advanced Materials
Univ. of California, Santa Barbara, CA (United States). Dept. of Physics
Stanford Univ., CA (United States). Dept. of Physics; Stanford Univ., CA (United States). Geballe Lab. for Advanced Materials

The superconducting (SC) and charge-density-wave (CDW) susceptibilities of the two-dimensional Holstein model are computed using determinant quantum Monte Carlo, and compared with results computed using the Migdal-Eliashberg (ME) approach. We access temperatures as low as 25 times less than the Fermi energy, E_F, which are still above the SC transition. We find that the SC susceptibility at low T agrees quantitatively with the ME theory up to a dimensionless electron-phonon coupling λ₀ ≈ 0.4 but deviates dramatically for larger λ₀. We find that for large λ₀ and small phonon frequency ω₀ << E_F CDW ordering is favored and the preferred CDW ordering vector is uncorrelated with any obvious feature of the Fermi surface.

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) (SC-22); National Science Foundation (NSF); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1436079

Alternate ID(s):: OSTI ID: 1430775

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 14 Vol. 97; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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