Phonon Anomalies Induced by Superconductivity

Abstract

We calculate the electronic polarizability in the superconducting state near extremum vectors ${\vec{Q}}_0$ of the Fermi surface. A pole appears in the polarizability at frequencies $\omega$ near the superconducting gap $2\Delta$ which leads to a sharp peak at $\omega$ just below $2\Delta$ in the lattice vibrations near ${\vec{Q}}_0$. A second order transition to a charge density wave state below the superconducting transition is shown to be unlikely. The results are compared with the recent inelastic neutron scattering measurements in compounds, $AN{i}_2{B}_{2}C$, $A=Y$ or $Lu$.

11 pages, RevTex, 3 Postscript figures. Corrections and significant additions in revision

References in corpus (1)

• Neutron scattering and superconducting order parameter in YBa2Cu3O7

Cited by in corpus (7)

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• Direct observation of the superconducting gap in phonon spectra
• Superconductivity-Induced Distortions of Phonon Lineshapes in Niobium
• Polarizability and single particle spectra of two-dimensional s- and d-wave superconductors
• Electron-quasiparticle interaction in $\mathrm{DyN}{\mathrm{i}}_2{\mathrm{B}}_2\mathrm{C}$ measured by point-contact spectroscopy
• Electron-momentum dependence of electron-phonon coupling underlies dramatic phonon renormalization in YNi${}_2$B${}_2$C
• Dispersive Gap Mode of Phonons in Anisotropic Superconductors