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Can unconventional pairing arise from a bare isotropic electron-phonon coupling? | | Philip M. Dee
; Benjamin Cohen-Stead
; Steven Johnston
; P. J. Hirschfeld
; | | Date: |
1 Jan 2023 | | Abstract: | In a recent work by Schrodi $ extit{et al.}$ [Phys. Rev. B. $ extbf{104}$,
L140506 (2021)], the authors find an unconventional superconducting state with
a sign-changing order parameter using the Migdal-Eliashberg theory, including
the first vertex correction. This unconventional solution arises despite using
an isotropic bare electron-phonon coupling in the Hamiltonian. We examine this
claim using hybrid quantum Monte Carlo for a single-band Holstein model with a
cuprate-like noninteracting band structure and identical parameters to Schrodi
$ extit{et al}$.. Our Monte Carlo results for these parameters suggest that
unconventional pairing correlations do not become dominant at any carrier
concentration we have checked. Instead, strong charge-density-wave correlations
persist at the lowest accessible temperatures for dilute and nearly half-filled
bands. Lastly, we present arguments for how vertex-corrected Migdal-Eliashberg
calculation schemes can lead to uncontrolled results in the presence of Fermi
surface nesting. | | Source: | arXiv, 2301.00480 | | Services: | Forum | Review | PDF | Favorites | |
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