Optical Sum Rule in Strongly Correlated Systems

Abstract

We discuss the problem of a possible "violation" of the optical sum rule in the normal (non superconducting) state of strongly correlated electronic systems, using our recently proposed DMFT+Sigma approach, applied to two typical models: the "hot - spot" model of the pseudogap state and disordered Anderson - Hubbard model. We explicitly demonstrate that the general Kubo single band sum rule is satisfied for both models. However, the optical integral itself is in general dependent on temperature and characteristic parameters, such as pseudogap width, correlation strength and disorder scattering, leading to effective "violation" of the optical sum rule, which may be observed in the experiments.

7 pages, 9 figures

References in corpus (11)

• Anomalous Normal-State Properties of High-T${}_c$ Superconductors -- Intrinsic Properties of Strongly Correlated Electron Systems?
• Microscopic theory of weak pseudogap behavior in the underdoped cuprate superconductors I: General theory and quasiparticle properties
• Pseudogaps in Strongly Correlated Metals: A generalized dynamical mean-field theory approach
• Condensation Energy and Spectral Functions in High Temperature Superconductors
• The in-plane electrodynamics of the superconductivity in Bi2Sr2CaCu2O8+d: energy scales and spectral weight distribution
• Optical and thermodynamic properties of the high-temperature superconductor HgBa_2CuO_4+delta
• In-plane optical spectral weight transfer in optimally doped Bi${}_2$Sr${}_2$Ca${}_2$Cu${}_3$O${}_{10}$
• Pseudogaps in Strongly Correlated Metals: Optical Conductivity within the Generalized Dynamical Mean-Field Theory Approach
• Optical Integral in the Cuprates and the Question of Sum Rule Violation
• Electromagnetic response of superconductors and optical sum rule
• Optical sum rule anomalies in the cuprates: interplay between strong correlation and electronic bandstructures

Cited by in corpus (1)

• Electrodynamics of Correlated Electron Materials