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Possible isotope effect on the resonance peak formation in high-T$_c$ cuprates

I. Eremin·O. Kamaev·M. V. Eremin
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Abstract

Starting from the three-band $p-d$ Hubbard Hamiltonian we derive an effective $t-J$ model including electron-phonon interaction of quasiparticles with optical phonons. Within the effective Hamiltonian we analyze the influence of electronic correlations and electron-phonon interaction on the dynamical spin susceptibility in layered cuprates. We find a huge isotope effect on the resonance peak in the magnetic spin susceptibility, ${Im}χ({\bf q},ω)$, seen by inelastic neutron scattering. It results from both the electron-phonon coupling and the electronic correlation effects taken into account beyond random phase approximation(RPA) scheme. We find at optimal doping the isotope coeffiecient $α_{res} \approx 0.35$ which can be further tested experimentally.

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I. Eremin, O. Kamaev, M. V. Eremin. 2004-03-02. Possible isotope effect on the resonance peak formation in high-T$_c$ cuprates. https://doi.org/10.1103/physrevb.69.094517

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