Green's function of fully anharmonic lattice vibration

Abstract

Motivated by the discovery of superconductivity in beta-pyrochlore oxides, we study property of rattling motion coupled with conduction electrons. We derive the general expression of the Green's function of fully anharmonic lattice vibration within the accuracy of the second order perturbation of electron-ion interaction by introducing self-energy, vertex-correction, and normalization factor for each transition. Using the expression, we discuss the characteristic properties of the spectral function in the entire range from weakly anharmonic potential to double-well case, and calculate NMR relaxation rate due to the two phonon Raman process.

References in corpus (11)

• Quadrupolar effect and rattling motion in heavy fermion superconductor PrOs_4Sb_{12}
• Extremely strong-coupling superconductivity and anomalous lattice properties in the beta-pyrochlore oxide KOs2O6
• Crystal structure of the pyrochlore oxide superconductor KOs${}_2$O${}_6$
• NMR relaxation and resistivity from rattling phonons in pyrochlore superconductors
• Correlation Effects and Structural Dynamics in the $\beta$-Pyrochlore Superconductor KOs${}_2$O${}_6$
• Mass enhancement, correlations, and strong coupling superconductivity in the beta-pyrochlore KOs2O6
• Second Anomaly in the Specific Heat of beta-Pyrochlore Oxide Superconductor KOs2O6
• Tunneling and rattling in clathrate crystal
• Specific Heat of the beta-Pyrochlore Oxide Superconductors CsOs2O6 and RbOs2O6
• NMR Observation of Rattling Phonons in the Pyrochlore Superconductor KOs2O6
• Frustration in Coupled Rattler System: KOs2O6

Cited by in corpus (4)

• Strong coupling superconductivity mediated by three-dimensional anharmonic phonons
• Kondo Effect of a Vibrating Magnetic Impurity
• Kondo Effect of a Magnetic Ion Vibrating in a Harmonic Potential
• Anharmonicity in one-dimensional electron-phonon system