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

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

Journal Article · 02 April 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.

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

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: AC02-76SF00515; DMR-1608055; PHY11-25915

OSTI ID:: 1436079

Alternate ID(s):: OSTI ID: 1430775

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

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 60 works

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Cited By (6)

Physics of Superconducting Transition Temperatures Kivelson, Steven A. Journal of Superconductivity and Novel Magnetism, Vol. 33, Issue 1 https://doi.org/10.1007/s10948-019-05254-x	journal	November 2019
Antiadiabatic Phonons and Superconductivity in Eliashberg–McMillan Theory Sadovskii, M. V. Journal of Superconductivity and Novel Magnetism, Vol. 33, Issue 1 https://doi.org/10.1007/s10948-019-05277-4	journal	September 2019
Enhancement of superconductivity by frustrating the charge order Li, Zi-Xiang; Cohen, Marvin L.; Lee, Dung-Hai Physical Review B, Vol. 100, Issue 24 https://doi.org/10.1103/physrevb.100.245105	journal	December 2019
Competition of electron-phonon mediated superconductivity and Stoner magnetism on a flat band Ojajärvi, R.; Hyart, T.; Silaev, M. arXiv https://doi.org/10.48550/arxiv.1801.01794	text	January 2018
Physics of Superconducting Transition Temperatures Kivelson, Steven A. arXiv https://doi.org/10.48550/arxiv.1908.00030	preprint	January 2019
Antiadiabatic Phonons and Superconductivity in Eliashberg-McMillan Theory Sadovskii, M. V. arXiv https://doi.org/10.48550/arxiv.1908.00718	text	January 2019

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