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The interrelation between the condensation energy and the optical sum rules has been investigated. It has been shown that the so called 'partial' sum rule violation is related mainly to a temperature dependence of the relaxation rate rather…

Superconductivity · Physics 2009-11-07 A. E. Karakozov , E. G. Maksimov , O. V. Dolgov

We examine the temperature dependence of the optical sum rule in the normal state due to interactions. To be concrete we adopt a weak coupling approach which uses an electron-boson exchange model to describe inelastic scattering of the…

Strongly Correlated Electrons · Physics 2007-05-23 L. Benfatto , J. P. Carbotte , F. Marsiglio

For a system with a fixed number of electrons, the total optical sum is a constant, independent of many-body interactions, of impurity scattering and of temperature. For a single band in a metal, such a sum rule is no longer independent of…

Superconductivity · Physics 2009-11-10 A. Knigavko , J. P. Carbotte , F. Marsiglio

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…

Superconductivity · Physics 2009-11-13 F. Marsiglio , E. van Heumen , A. B. Kuzmenko

In a single finite electronic band the total optical spectral weight or optical sum carries information on the interactions involved between the charge carriers as well as on their band structure. It varies with temperature as well as with…

Superconductivity · Physics 2007-05-23 J. P. Carbotte , E. Schachinger

We provide a brief summary of the observed sum rule anomalies in the high-T$_c$ cuprate materials. A recent issue has been the impact of a non-infinite frequency cutoff in the experiment. In the normal state, the observed anomalously high…

Superconductivity · Physics 2009-11-06 F. Marsiglio

We derive the restricted optical-conductivity sum rule for a model with circulating orbital currents. It is shown that an unusual coupling of the vector potential to the interaction term of the model Hamiltonian results in a non-standard…

Strongly Correlated Electrons · Physics 2007-05-23 L. Benfatto , S. G. Sharapov , H. Beck

Much attention has been given to a possible violation of the optical sum rule in the cuprates, and the connection this might have to kinetic energy lowering. The optical integral is composed of a cut-off independent term (whose temperature…

Superconductivity · Physics 2009-11-13 M. R. Norman , A. V. Chubukov , E. van Heumen , A. B. Kuzmenko , D. van der Marel

Partial sum rules are widely used in physics to separate low- and high-energy degrees of freedom of complex dynamical systems. Their application, though, is challenged in practice by the always finite spectrometer bandwidth and is often…

Other Condensed Matter · Physics 2009-11-13 A. B. Kuzmenko , D. van der Marel , F. Carbone , F. Marsiglio

We theoretically analyze some of the anomalies of the optical sumrules in the high-temperature superconductors. In particular we address the particularly strong dependence on temperature of the sumrule in the normal state. Both…

Strongly Correlated Electrons · Physics 2008-01-31 A. Toschi , M. Capone

We begin with an overview of the experimental results for the temperature and doping dependences of the optical-conductivity spectral weight in cuprate superconductors across the whole phase diagram. Then we discuss recent attempts to…

Superconductivity · Physics 2007-05-23 L. Benfatto , S. Sharapov

The f-sum rule is introduced and its applications to electronic and vibrational modes are discussed. A related integral over the intra-band part of sigma(omega) which is also valid for correlated electrons, becomes just the kinetic energy…

Strongly Correlated Electrons · Physics 2007-05-23 D. van der Marel

We report a Raman study of the effect of temperature on the self-energies of optical phonons in a number of transition metals with hexagonal-close-packed structure. Anisotropic softening of phonon energies and narrowing of phonon linewidths…

Materials Science · Physics 2017-01-04 Yu. S. Ponosov , S. V. Streltsov

Within the framework of the operator product expansion (OPE) and the renormalization group equation (RGE), we show that the temperature and chemical potential dependence of the zeroth moment of a spectral function (SF) is completely…

High Energy Physics - Phenomenology · Physics 2011-01-04 Suzhou HUANG , Marcello LISSIA

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:…

Strongly Correlated Electrons · Physics 2009-11-13 E. Z. Kuchinskii , N. A. Kuleeva , I. A. Nekrasov , M. V. Sadovskii

We show that the single-particle and transport relaxation rates in ferromagnetic metals, which determine the thermal and electrical conductivity, respectively, at asymptotically low temperature do not obey a power law as previously thought,…

Strongly Correlated Electrons · Physics 2015-03-16 S. Bharadwaj , D. Belitz , T. R. Kirkpatrick

We study the transfer of spectral weight in the optical spectra of a strongly correlated electron system as a function of temperature and interaction strength. Within a dynamical mean field theory of the Hubbard model that becomes exact in…

Condensed Matter · Physics 2009-10-28 M. J. Rozenberg , G. Kotliar , H. Kajueter , G. A. Thomas , D. H. Rapkine , J. M. Honig , P. Metcalf

Many metals display resistivity saturation - a substantial decrease in the slope of the resistivity as a function of temperature, that occurs when the electron scattering rate $\tau^{-1}$ becomes comparable to the Fermi energy $E_F/\hbar$…

Mesoscale and Nanoscale Physics · Physics 2016-02-10 Yochai Werman , Erez Berg

Temperature influences the performance of two-dimensional materials in optoelectronic devices. Indeed, the optical characterization of these materials is usually realized at room temperature. Nevertheless most {\it ab-initio} studies are…

Mesoscale and Nanoscale Physics · Physics 2016-06-06 Alejandro Molina-Sánchez , Maurizia Palummo , Andrea Marini , Ludger Wirtz

The photoluminescence spectra of band-edge transitions in GaN is studied as a function of temperature. The parameters that describe the temperature dependence red-shift of the band-edge transition energy and the broadening of emission line…

Materials Science · Physics 2009-11-11 Niladri Sarkar , Subhasis Ghosh
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