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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

The model of hole superconductivity predicts that the superfluid weight in the zero-frequency $\delta$-function in the optical conductivity has an anomalous contribution from high frequencies, due to lowering of the system's kinetic energy…

Superconductivity · Physics 2009-10-31 J. E. Hirsch , F. Marsiglio

The purpose of this work is to investigate the role of the lattice in the optical Kubo sum rule in the cuprates. We compute conductivities, optical integrals W, and \Delta W between superconducting and normal states for 2-D systems with…

Strongly Correlated Electrons · Physics 2015-05-14 Saurabh Maiti , Andrey V. Chubukov

We present a study of the normal state optical conductivity in the cuprate superconductors using the nearly antiferromagnetic Fermi liquid (NAFL) description of the magnetic interaction between their planar quasiparticles. We find that the…

Strongly Correlated Electrons · Physics 2009-10-30 Branko P. Stojkovic , David Pines

The finite-frequency optical properties of the underdoped cuprates, in both the normal and superconducting state, display features which go beyond a Fermi liquid and a BCS description. We provide an understanding of these properties within…

Superconductivity · Physics 2015-05-13 E. Illes , E. J. Nicol , J. P. Carbotte

Based on a Fermi liquid model, we present several results on the normal state of the optimally doped and overdoped cuprate superconductors. Our main result is an analytic demonstration, backed by self-consistent numerical calculations, of…

Condensed Matter · Physics 2007-05-23 George Kastrinakis

We calculate the $c$-axis kinetic energy difference between normal and superconducting state for coherent and for incoherent interlayer coupling between CuO$_{2}$ planes. For coherent coupling the ratio of the missing conductivity spectral…

Superconductivity · Physics 2009-10-31 Wonkee Kim , J. P. Carbotte

We calculate the quasiparticle scattering rate in the superconducting state of the overdoped cuprates, in the context of the Eliashberg formalism for a Fermi liquid with strong van Hove singularities close to the chemical potential. For a…

Superconductivity · Physics 2009-11-10 George Kastrinakis

We discuss the effects of a quantum critical point located nearby optimum doping and related to local charge segregation (stripe phase). The fluctuations in the critical region produce at the same time a strong pairing mechanism and a…

Strongly Correlated Electrons · Physics 2009-10-31 C. Castellani , C. Di Castro , M. Grilli

Underdoped cuprate superconductors are believed to be strongly correlated with electronic systems with small phase stiffness leading to a large phase fluctuation region is known as the pseudogap state. With increasing doping it is generally…

Superconductivity · Physics 2025-07-03 Hércules H. Santana and , E. V. L. de Mello

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 use a recently proposed model of the interplane conductivity of high temperature superconductors to investigate the `scattering rate sum-rule' introduced by Basov and co-workers. We present a new derivation of the sum-rule. The quantal…

Strongly Correlated Electrons · Physics 2007-05-23 N. Shah , A. J. Millis

In unconventional superconductors, it is generally believed that understanding the physical properties of the normal state is a pre-requisite for understanding the superconductivity mechanism. In conventional superconductors like niobium or…

An important quantity in electronic systems is the quasiparticle scattering rate (QPSR). A related optical scattering rate (OSR) is routinely extracted from optical data, and, while it is not the same as the QPSR, it nevertheless displays…

Superconductivity · Physics 2009-11-07 F. Marsiglio , J. P. Carbotte , E. Schachinger

The cuprate high-temperature superconductors are known to host a wide array of effects due to interactions and disorder. In this work, we look at some of the consequences of these effects which can be visualized by scanning tunneling…

Superconductivity · Physics 2018-10-02 Miguel Antonio Sulangi , Jan Zaanen

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 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 evolution of Ca$_{2-x}$Na$_{x}$CuO$_{2}$Cl$_{2}$ from Mott insulator to superconductor was studied using angle-resolved photoemission spectroscopy. By measuring both the excitations near the Fermi energy as well as non-bonding states,…

Understanding the physical properties of unconventional superconductors as well as of other correlated materials presents a formidable challenge. Their unusual evolution with doping, frequency, and temperature has frequently led to…

The superconducting state of underdoped cuprates is often described in terms of a single energy-scale, associated with the maximum of the (d-wave) gap. Here, we report on electronic Raman scattering results, which show that the gap function…

Superconductivity · Physics 2007-05-23 M. Le Tacon , A. Sacuto , A. Georges , G. Kotliar , Y. Gallais , D. Colson , A. Forget
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