Impact of a finite cut-off for the optical sum rule in the superconducting state

Abstract

A single band optical sum rule derived by Kubo can reveal a novel kind of superconducting state. It relies, however, on a knowledge of the single band contribution from zero to infinite frequency. A number of experiments over the past five years have used this sum rule; their data has been interpreted in support of 'kinetic energy-driven superconductivity'. However, because of the presence of unwanted interband optical spectral weight, they necessarily have to truncate their sum at a finite frequency. This work examines theoretical models where the impact of this truncation can be examined first in the normal state, and then in the superconducting state. The latter case is particularly important as previous considerations attributed the observed anomalous temperature dependence as an artifact of a non-infinite cutoff frequency. We find that this is in fact not the case, and that the sign of the corrections from the use of a non-infinite cutoff is such that the observed temperature dependence is even more anomalous when proper account is taken of the cutoff. On the other hand, in these same models, we find that the strong observed temperature dependence in the normal state can be attributed to the effect of a non-infinite cutoff frequency.

9 pages, 7 figures

References in corpus (9)

• Doping Dependence of the Redistribution of Optical Spectral Weight in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Optical and thermodynamic properties of the high-temperature superconductor HgBa_2CuO_4+delta
• Optical Integral in the Cuprates and the Question of Sum Rule Violation
• Model-Independent Sum Rule Analysis Based on Limited-Range Spectral Data
• Impurity effects on optical response in a finite band electronic system coupled to phonons
• Effect of orbital currents on the restricted optical sum rule
• Intraband Optical Spectral Weight in the presence of a van Hove singularity: application to Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Observation of phonon structure in electron density of states of normal metal
• Temperature Dependence of the Conductivity Sum Rule in the Normal State due to Inelastic Scattering

Cited by in corpus (7)

• Energetics of superconductivity in the two dimensional Hubbard model
• ARPES, Neutrons, and the High-$T_c$ Mechanism
• Optics clues to pairing glues in high T${}_c$ cuprates
• Optical conductivity for a dimer in the Dynamic Hubbard model
• Electrical conductivity and nuclear magnetic resonance relaxation rate of Eliashberg superconductors in the weak-coupling limit
• Observation of the charge density wave collective mode in the infrared optical response of VSe${}_2$
• Optical Sum Rule anomalies in the High-Tc Cuprates