Phonon-mediated superconductivity in low carrier-density systems

Gastiasoro, Maria N.; Chubukov, Andrey V.; Fernandes, Rafael M.

doi:10.1103/physrevb.99.094524

Title: Phonon-mediated superconductivity in low carrier-density systems

Journal Article · Fri Mar 29 00:00:00 EDT 2019 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.99.094524· OSTI ID:1612517

Gastiasoro, Maria N. ^[1]; Chubukov, Andrey V. ^[1]; Fernandes, Rafael M. ^[1]

Univ. of Minnesota, Minneapolis, MN (United States)

Motivated by the observation of superconductivity in SrTiO₃ and Bi, we analyze phonon-mediated superconductivity in three-dimensional systems at low carrier density, when the chemical potential μ is comparable to or even smaller than the characteristic phonon frequency ωL. Here, we consider the attractive part of the Bardeen-Pines pairing interaction, in which the frequency-dependent electron-phonon interaction is dressed by the Coulomb potential. This dressing endows the pairing interaction with momentum dependence. We argue that the conventional Migdal-Eliashberg approximation becomes invalid when μ ≤ ω_L, chiefly because the dominant contribution to pairing comes from electronic states away from the Fermi surface. We obtain the pairing onset temperature, which is equal to Tc in the absence of phase fluctuations, as a function of μ/ω_L. Furthermore, we find both analytically and numerically that T_c increases as the ratio μ/ωL becomes smaller. In particular, in the dilute regime, μ → 0, it holds that Tc ∝ ω_L($$^{Ry}_{ωL}$$)η, where Ry is the Rydberg constant and η ~ 0.2.

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Research Organization:: Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0016371; SC-0016371

OSTI ID:: 1612517

Alternate ID(s):: OSTI ID: 1504531

Journal Information:: Physical Review. B, Vol. 99, Issue 9; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 24 works

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Precision measurements of the AC field dependence of the superconducting transition in strontium titanate Herrera, Chloe; Sochnikov, Ilya arXiv https://doi.org/10.48550/arxiv.1907.01733	text	January 2019
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