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Autore principale: Al-Zawahreh, Mohamad
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Pubblicazione: Zenodo 2026
Accesso online:https://doi.org/10.5281/zenodo.20261022
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author Al-Zawahreh, Mohamad
author_facet Al-Zawahreh, Mohamad
contents <p>We derive a coupling-level correction to the electron-boson pairing interaction in superconductors with coexisting phonon and spin-fluctuation channels. Starting from the Migdal-Eliashberg framework, we show that the first-order vertex correction generates a cross-channel coupling term γ·λ_ph·λ_sf, where γ = ω_sf/E_F is determined entirely by measurable material properties. The total coupling constant becomes λ_total = λ_ph + λ_sf + γ·λ_ph·λ_sf, which we implement using the unmodified Allen-Dynes equation. We validate this formulation against three independent systems: the anomalous Tc enhancement in monolayer FeSe/SrTiO3 (0.6% error), the suppressed oxygen isotope exponent in optimally doped YBa2Cu3O7, and the self-consistent coupling structure of pressurized La3Ni2O7. We predict an oxygen isotope exponent of α_O = 0.053 for La3Ni2O7 at 25 GPa, providing a falsifiable experimental test. The cross-coupling term is universal but becomes experimentally dominant only in the BCS-BEC crossover regime (E_F ≲ 20 meV).</p>
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spellingShingle Cross-Channel Vertex Corrections in Multi-Boson Superconductors: A Coupling-Level Bridge Mechanism for High-Temperature Superconductivity
Al-Zawahreh, Mohamad
<p>We derive a coupling-level correction to the electron-boson pairing interaction in superconductors with coexisting phonon and spin-fluctuation channels. Starting from the Migdal-Eliashberg framework, we show that the first-order vertex correction generates a cross-channel coupling term γ·λ_ph·λ_sf, where γ = ω_sf/E_F is determined entirely by measurable material properties. The total coupling constant becomes λ_total = λ_ph + λ_sf + γ·λ_ph·λ_sf, which we implement using the unmodified Allen-Dynes equation. We validate this formulation against three independent systems: the anomalous Tc enhancement in monolayer FeSe/SrTiO3 (0.6% error), the suppressed oxygen isotope exponent in optimally doped YBa2Cu3O7, and the self-consistent coupling structure of pressurized La3Ni2O7. We predict an oxygen isotope exponent of α_O = 0.053 for La3Ni2O7 at 25 GPa, providing a falsifiable experimental test. The cross-coupling term is universal but becomes experimentally dominant only in the BCS-BEC crossover regime (E_F ≲ 20 meV).</p>
title Cross-Channel Vertex Corrections in Multi-Boson Superconductors: A Coupling-Level Bridge Mechanism for High-Temperature Superconductivity
url https://doi.org/10.5281/zenodo.20261022