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Autori principali: Schrodi, Fabian, Aperis, Alex, Oppeneer, Peter M.
Natura: Preprint
Pubblicazione: 2024
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Accesso online:https://arxiv.org/abs/2407.07112
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author Schrodi, Fabian
Aperis, Alex
Oppeneer, Peter M.
author_facet Schrodi, Fabian
Aperis, Alex
Oppeneer, Peter M.
contents We study two aspects of the superconductivity in a cuprate model system, its doping dependence and the influence of competing pairing mediators. We first include electron-phonon interactions beyond Migdal's approximation and solve self-consistently, as a function of doping and for an isotropic electron-phonon coupling, the full-bandwidth, anisotropic vertex-corrected Eliashberg equations under a non-interacting state approximation for the vertex correction. Our results show that such pairing interaction supports the experimentally observed $d_{x^2-y^2}$-wave symmetry of the superconducting gap, but only in a narrow doping interval of the hole-doped system. Depending on the coupling strength, we obtain realistic values for the gap magnitude and superconducting critical temperature $T_c$ close to optimal doping, rendering the electron-phonon mechanism an important candidate for mediating superconductivity in this model system. Second, for a doping near optimal hole doping, we study multichannel superconductivity, by including both vertex-corrected electron-phonon interaction and spin and charge fluctuations as pairing mechanisms. We find that both mechanisms cooperate to support an unconventional $d$-wave symmetry of the order parameter, yet the electron-phonon interaction is mainly responsible for the Cooper pairing and high critical temperature $T_c$. Spin fluctuations are found to have a suppressing effect on the gap magnitude and critical temperature due to their repulsive interaction at small coupling wave vectors.
format Preprint
id arxiv_https___arxiv_org_abs_2407_07112
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Doping dependence and multichannel mediators of superconductivity: Calculations for a cuprate model
Schrodi, Fabian
Aperis, Alex
Oppeneer, Peter M.
Superconductivity
We study two aspects of the superconductivity in a cuprate model system, its doping dependence and the influence of competing pairing mediators. We first include electron-phonon interactions beyond Migdal's approximation and solve self-consistently, as a function of doping and for an isotropic electron-phonon coupling, the full-bandwidth, anisotropic vertex-corrected Eliashberg equations under a non-interacting state approximation for the vertex correction. Our results show that such pairing interaction supports the experimentally observed $d_{x^2-y^2}$-wave symmetry of the superconducting gap, but only in a narrow doping interval of the hole-doped system. Depending on the coupling strength, we obtain realistic values for the gap magnitude and superconducting critical temperature $T_c$ close to optimal doping, rendering the electron-phonon mechanism an important candidate for mediating superconductivity in this model system. Second, for a doping near optimal hole doping, we study multichannel superconductivity, by including both vertex-corrected electron-phonon interaction and spin and charge fluctuations as pairing mechanisms. We find that both mechanisms cooperate to support an unconventional $d$-wave symmetry of the order parameter, yet the electron-phonon interaction is mainly responsible for the Cooper pairing and high critical temperature $T_c$. Spin fluctuations are found to have a suppressing effect on the gap magnitude and critical temperature due to their repulsive interaction at small coupling wave vectors.
title Doping dependence and multichannel mediators of superconductivity: Calculations for a cuprate model
topic Superconductivity
url https://arxiv.org/abs/2407.07112