The isotope effect in the Hubbard model with local phonons

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dc.creatorMacridin, Alexandru
dc.creatorJarrell, Mark
dc.date2008-03-05
dc.date.accessioned2026-07-07T12:55:03Z
dc.date.available2026-07-07T12:55:03Z
dc.descriptionThe isotope effect (IE) in the two-dimensional Hubbard model with Holstein phonons is studied using the dynamical cluster approximation with quantum Monte Carlo. At small electron-phonon (EP) coupling the IE is negligible. For larger EP coupling there is a large and positive IE on the superconducting temperature that decreases with increasing doping. A significant IE also appears in the low-energy density of states, kinetic energy and charge excitation spectrum. A negligible IE is found in the pseudogap and antiferromagnetic (AF) properties at small doping whereas the AF susceptibility at intermediate doping increases with decreasing phonon frequency $ω_0$. This IE stems from increased polaronic effects with decreasing $ω_0$. A larger IE at smaller doping occurs due to stronger polaronic effects determined by the interplay of the EP interaction with stronger AF correlations. The IE of the Hubbard-Holstein model exhibits many similarities with the IE measured in cuprate superconductors.
dc.identifierhttps://arxiv.org/abs/0803.0567
dc.identifierhttp://arxiv.org/abs/0803.0567
dc.identifierPhys. Rev. B 79, 104517 (2009).
dc.identifierdoi:10.1103/PhysRevB.79.104517
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224144
dc.subjectStrongly Correlated Electrons
dc.subjectSuperconductivity
dc.titleThe isotope effect in the Hubbard model with local phonons
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