Dependence of $T_c$ on the $q-\omega$ structure of the spin-fluctuation spectrum

Abstract

A phenomenological spin-fluctuation analysis (Ref. 1), based upon inelastic neutron scattering (INS) and angular resolved photoemission spectroscopy (ARPES) data for ${\mathrm{YBCO}}_{6.6}(T_c=61K)$, is used to calculate the functional derivative of the d-wave eigenvalue ${\lambda }_d$ of the linearized gap equation with respect to the imaginary part of the spin susceptibility ${\chi }^{\prime \prime }(q,\omega )$ at 70K. For temperatures near $T_c$, the variation of $T_c$ with respect to ${\chi }^{\prime \prime }(q,\omega )$ is proportional to this functional derivative. Based on this, we discuss how different parts of the $q$ and $\omega$ dependent spin-fluctuation spectrum of YBCO${}_{6.6}$ contribute to $T_c$.

9 pages, 4 figures

References in corpus (3)

• Strength of the Spin-Fluctuation-Mediated Pairing Interaction in a High-Temperature Superconductor
• Spin dynamics in the pseudogap state of a high-temperature superconductor
• Coexistence of metallicity and superconductivity in adjacent bilayers of a high-Tc superconductor

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