State-of-the-art techniques for calculating spectral functions in models for correlated materials

The dynamical mean field theory (DMFT) has become a standard technique for the study of strongly correlated models and materials overcoming some of the limitations of density functional approaches based on local approximations. An important step in this method involves the calculation of response functions of a multiorbital impurity problem which is related to the original model. Recently there has been considerable progress in the development of techniques based on the density matrix renormalization group (DMRG) and related matrix product states (MPS) implying a substantial improvement to previous methods. In this article we review some of the standard algorithms and compare them to the newly developed techniques, showing examples for the particular case of the half-filled two-band Hubbard model.Comment: 8 pages, 4 figures, to be published in EPL Perspective

Relativistically extended Blanchard recurrence relation for hydrogenic matrix elements

General recurrence relations for arbitrary non-diagonal, radial hydrogenic matrix elements are derived in Dirac relativistic quantum mechanics. Our approach is based on a generalization of the second hypervirial method previously employed in the non-relativistic Schr\"odinger case. A relativistic version of the Pasternack-Sternheimer relation is thence obtained in the diagonal (i.e. total angular momentum and parity the same) case, from such relation an expression for the relativistic virial theorem is deduced. To contribute to the utility of the relations, explicit expressions for the radial matrix elements of functions of the form $r^\lambda$ and $\beta r^\lambda$ ---where $\beta$ is a Dirac matrix--- are presented.Comment: 21 pages, to be published in J. Phys. B: At. Mol. Opt. Phys. in Apri

Influencia de la composición de la dieta sobre el perfil de ácidos grasos y la expresión génica en tejidos adiposo, muscular y hepático de cerdos ibéricos

La composición de los tejidos animales es determinante en la calidad de los productos y está influida por varios factores como la dieta, el tipo genético, la edad y el sexo. En este trabajo se ha evaluado el efecto de la composición de ácidos grasos (AG) de la dieta de cerdos ibéricos en fase de cebo, sobre la composición de AG de los tejidos y la transcripción de genes codificantes para enzimas clave del metabolismo lipídico (SCD, ME1, FASN, ACACA, LEP, CPT, HADH). Se utilizaron 40 machos Torbiscal que recibieron diferentes dietas: saturada (S), monoinsaturada (M) y poliinsaturada (P). La composición de AG de los tejidos adiposo, hepático y muscular mostró grandes diferencias del grupo P respecto a M y S, que mostraron un perfil similar. La dieta afectó también a la expresión génica en hígado y tejido adiposo, sugiriendo una mayor expresión de enzimas lipogénicas en el grupo M y menor en el P. Estos resultados no explican la mayor capacidad del grupo S para la síntesis endógena de AG, que podría deducirse de los análisis de composición tisular.La composición de los tejidos animales es determinante en la calidad de los productos y está influida por varios factores como la dieta, el tipo genético, la edad y el sexo. En este trabajo se ha evaluado el efecto de la composición de ácidos grasos (AG) de la dieta de cerdos ibéricos en fase de cebo, sobre la composición de AG de los tejidos y la transcripción de genes codificantes para enzimas clave del metabolismo lipídico (SCD, ME1, FASN, ACACA, LEP, CPT, HADH). Se utilizaron 40 machos Torbiscal que recibieron diferentes dietas: saturada (S), monoinsaturada (M) y poliinsaturada (P). La composición de AG de los tejidos adiposo, hepático y muscular mostró grandes diferencias del grupo P respecto a M y S, que mostraron un perfil similar. La dieta afectó también a la expresión génica en hígado y tejido adiposo, sugiriendo una mayor expresión de enzimas lipogénicas en el grupo M y menor en el P. Estos resultados no explican la mayor capacidad del grupo S para la síntesis endógena de AG, que podría deducirse de los análisis de composición tisular

A Tensor Train Continuous Time Solver for Quantum Impurity Models

The simulation of strongly correlated quantum impurity models is a significant challenge in modern condensed matter physics that has multiple important applications. Thus far, the most successful methods for approaching this challenge involve Monte Carlo techniques that accurately and reliably sample perturbative expansions to any order. However, the cost of obtaining high precision through these methods is high. Recently, tensor train decomposition techniques have been developed as an alternative to Monte Carlo integration. In this study, we apply these techniques to the single-impurity Anderson model at equilibrium by calculating the systematic expansion in power of the hybridization of the impurity with the bath. We demonstrate the performance of the method in a paradigmatic application, examining the first-order phase transition on the infinite dimensional Bethe lattice, which can be mapped to an impurity model through dynamical mean field theory. Our results indicate that using tensor train decomposition schemes allows the calculation of finite-temperature Green's functions and thermodynamic observables with unprecedented accuracy. The methodology holds promise for future applications to frustrated multi-orbital systems, using a combination of partially summed series with other techniques pioneered in diagrammatic and continuous-time quantum Monte Carlo

Excited states of exciton-polariton condensates in 2D and 1D harmonic traps

We present a theoretical description of Bogolyubov-type excitations of exciton-polariton Bose-Einstein condensates (BECs) in semiconductor microcavities. For a typical two-dimensional (2D) BEC we focus on two limiting cases, the weak-and strong-coupling regimes, where a perturbation theory and the Thomas-Fermi approximation, respectively, are valid. We calculate integrated scattering intensity spectra for probing the collective excitations of the condensate in both considered limits. Moreover, in relation to recent experiments on optical modulation allowing localization of condensates in a trap with well-controlled shape and dimensions, we study the quasi-one-dimensional (1D) motion of the BEC inmicrowires and report the corresponding Bogolyubov excitation spectrum. We show that in the 1D case the characteristic polariton-polariton interaction constant is expressed as g(1) = 3 lambda N/(2L(y)) (lambda is the 2D polariton-polariton interaction parameter in the cavity, N the number of the particles, and L-y the wire cavity width). We reveal some interesting features for 2D and 1D Bogolyubov spectra for both repulsive (lambda > 0) and attractive (lambda < 0) interactions.Fundação para a Ciência e a Tecnologia (FCT) - Portuguese Foundation for Science and Technology Grants: PTDC-FIS-113199-2009, PEst-C/FIS/UI0607/2013CNPq, FAPESP, BrazilRussian Ministry of Education and Science 11.G34.31.006

Berichte aus der Antikensammlung 2008-2009

Numeración errónea en el original