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D. Villani

Publications and source records attributed to D. Villani.

14 recordsLinked to original sources
arXiv2004

Interpolative Approach for Solving the Anderson Impurity Model

A rational representation for the self--energy is explored to interpolate the solution of the Anderson impurity model in general orbitally degenerate case. Several constrains such as the Friedel's sum rule, positions of the Hubbard bands as well as the value of quasiparticle residue are used to establish the equations for the coefficients of the interpolation. We employ two fast techniques, the slave--boson mean--field and the Hubbard I approximations to determine the functional dependence of the coefficients on doping, degeneracy and the strength of the interaction. The obtained spectral functions and self--energies are in good agreement with the results of numerically exact quantum Monte Carlo method.

cond-mat.str-el↗
arXiv2004

Interpolative Approach for Solving Quantum Impurity Model Based on the Slave--Boson Mean--Field Approximation

A rational representation for the self-energy is explored to interpolate the solution of the Anderson impurity model in general orbitally degenerate case. Several constrains such as the Friedel's sum rule, high--frequency moments and the value of quasiparticle residue are used to establish the equations for the coefficients of the interpolation. We test two fast techniques, the slave--boson mean--field and the Hubbard I approximation to determine the coefficients. The obtained self--energies are compared with the results of numerically exact Quantum Monte Carlo method. We find that using the slave--boson mean--field approach we can construct an accurate self--energy for all frequencies via the proposed interpolation procedure.

cond-mat.str-el↗
arXiv2003

Frequency content and autocorrelation function of noisy periodic signals

We extract the frequency content of a noisy signal by use of Discrete Fourier Transform. Our analysis overcomes the limitations imposed by incommensurate lattices. After computing the deterministic component, we show the relevance of the method in removing spurious autocorrelations from the signal residuals. Results are presented for a temperature time series.

cond-mat.dis-nn↗
arXiv2000

The density of extremely red objects around high-z radio-loud AGN

We present the results of a K-band imaging survey of 40 arcmin^{2} in fields around 14 radio-loud AGN (6 radio galaxies and 8 quasars) with z>1.5. The survey, 80% complete to K<19.2 and complemented by R-band imaging, aimed at investigating whether extremely red objects (EROs) are present in excess around high-z AGN, and to study the environment of z>1.5 radio galaxies and radio-loud quasars. At $18 6 compared to the general field. Consistently, we also find that the R-K colour distribution of all the galaxies in the AGN fields are significantly redder than the colour distribution of the field galaxies. On the other hand, the distribution of the R-K colours is undistinguishable from that of galaxies taken from literature fields around radio-loud quasars at 1<z<2. We discuss the main implications of our findings and we compare the possible scenarios which could explain our results.

astro-ph↗
arXiv1999

Two-scale analysis of the SU(N) Kondo Model

We show how to resolve coherent low-energy features embedded in a broad high-energy background by use of a fully self-consistent calculation for composite particle operators. The method generalizes the formulation of Roth, which linearizes the dynamics of composite operators at any energy scale. Self-consistent equations are derived and analyzed in the case of the single-impurity SU(N) Kondo model.

cond-mat.str-el↗
arXiv1999

The Conductivity Tensor for the Hubbard Model

A new theoretical analysis of the current-charge and charge-charge propagators is presented for the Hubbard model, using the static approximation for the Composite Operator Method. This approximation manifestly preserves a sum rule which governs the single-site dynamics. We compare our results with those obtained by numerical analysis.

cond-mat.str-el↗
arXiv1998

Infrared imaging of WENSS radio sources

We have performed deep imaging in the IR J- and K-bands for three sub-samples of radio sources extracted from the Westerbork Northern Sky Survey, a large low-frequency radio survey containing Ultra Steep Spectrum (USS), Gigahertz Peaked Spectrum (GPS) and Flat Spectrum (FS) sources. We present the results of these IR observations, carried out with the ARcetri Near Infrared CAmera (ARNICA) at the Nordic Optical Telescope (NOT), providing photometric and morphologic information on high redshift radio galaxies and quasars. We find that the radio galaxies contained in our sample do not show the pronounced radio/IR alignment claimed for 3CR sources. IR photometric measurements of the gravitational lens system 1600+434 are also presented.

astro-ph↗
arXiv1998

Thermodynamics of the 2D Hubbard model

A theoretical analysis of the thermodynamic response functions of the 2D single-band Hubbard model is realized by means of the composite operator method. It is shown that all the features of these quantities can be explained by looking at the dependence of the thermodynamic variables on their conjugate ones. It is found that the numerical data from quantum Monte Carlo techniques for the internal energy and electronic specific heat are well reproduced. The anomalous normal state properties in hole-doped cuprate high Tc superconductors are also well described. Actually, the results for the linear coefficient of the electronic specific heat are in agreement with those obtained by using a pure fermionic theoretical scheme. Finally, we obtain several characteristic crossing points for the response functions when reported as functions of some thermodynamic variables. These peculiar features indicate the existence of more than one energy scale competing with thermal excitations in the 2D Hubbard model.

cond-mat.str-el↗
arXiv1998

Comment on "Symmetry properties of magnetization in the Hubbard model at finite temperature"

The results of G. Su and M. Suzuki [Phys. Rev. B 54, 8291 (1996); ibidem 57, 13367 (1998)] for the spin and pseudo-spin symmetry properties of the Hubbard model are reexamined. We point out that the exact relations they have found are valid down to zero temperature and that their solutions for both spin and pseudo-spin correlation functions are incorrect.

cond-mat.str-el↗
arXiv1998

The overdoped regime in LSCO

Recent experimental data for the overdoped LSCO have firmly established the properties which characterize the transition between the superconducting and the Fermi liquid metallic phases. The thermodynamic response functions show a pronounced feature at this point, while the Fermi surface undergoes a dramatic change. By use of the Composite Operator Method for the two-dimensional Hubbard model, it is found that the presence of a van Hove singularity in the lower Hubbard band can explain these behaviors.

cond-mat.supr-con↗
arXiv1997

The Hubbard model in the two-pole approximation

The two-dimensional Hubbard model is analyzed in the framework of the two-pole expansion. It is demonstrated that several theoretical approaches, when considered at their lowest level, are all equivalent and share the property of satisfying the conservation of the first four spectral momenta. It emerges that the various methods differ only in the way of fixing the internal parameters and that it exists a unique way to preserve simultaneously the Pauli principle and the particle-hole symmetry. A comprehensive comparison with respect to some general symmetry properties and the data from quantum Monte Carlo analysis shows the relevance of imposing the Pauli principle.

cond-mat.str-el↗
arXiv1997

Incommensurate magnetism in cuprate materials

In the low doping region an incommensurate magnetic phase is observed in LSCO. By means of the composite operator method we show that the single-band 2D Hubbard model describes the experimental situation. In the higher doping region, where experiments are not available, the incommensurability is depressed owing to the van Hove singularity near the Fermi level. A proportionality between the incommensurability amplitude and the critical temperature is predicted, suggesting a close relation between superconductivity and incommensurate magnetism.

cond-mat.str-el↗
arXiv1997

Electronic specific heat in the normal state of cuprate high-Tc superconductors

By means of the composite operator method we calculate the specific heat of the 2D Hubbard model. Our results show that the model gives a detailed description of the experimental situation in the normal state of cuprate high Tc superconductors. The observed behavior is consistent with a Fermi liquid picture where the unusual properties are described in terms of the van Hove scenario. There is experimental evidence, based on the data for the spin magnetic susceptibility and specific heat, that this scenario is related to the overdoped region where superconductivity is depressed.

cond-mat.supr-con↗