Anderson localization of light in disordered superlattices containing graphene layers

We theoretically investigate light propagation and Anderson localization in one-dimensional disordered superlattices composed of dielectric stacks with graphene sheets in between. Disorder is introduced either on graphene material parameters ({\it e.g.} Fermi energy) or on the widths of the dielectric stacks. We derive an analytic expression for the localization length $\xi$, and compare it to numerical simulations using transfer matrix technique; a very good agreement is found. We demonstrate that the presence of graphene may strongly attenuate the anomalously delocalised Breswter modes, and is at the origin of a periodic dependence of $\xi$ on frequency, in contrast to the usual asymptotic decay, $\xi \propto \omega^{-2}$. By unveiling the effects of graphene on Anderson localization of light, we pave the way for new applications of graphene-based, disordered photonic devices in the THz spectral range.

Desarrollo de software para el procesado numérico en tarjetas gráficas

Debido al gran número de transistores por mm2 que hoy en día podemos encontrar en las GPU convencionales, en los últimos años éstas se vienen utilizando para propósitos generales gracias a que ofrecen un mayor rendimiento para computación paralela. Este proyecto implementa el producto sparse matrix-vector sobre OpenCL. En los primeros capítulos hacemos una revisión de la base teórica necesaria para comprender el problema. Después veremos los fundamentos de OpenCL y del hardware sobre el que se ejecutarán las librerías desarrolladas. En el siguiente capítulo seguiremos con una descripción del código de los kernels y de su flujo de datos. Finalmente, el software es evaluado basándose en comparativas con la CPU.

Spin-Peierls vs Peierls distortions in a family of conjugated polymers

Distortions in a family of conjugated polymers are studied using two complementary approaches: within a many-body valence bond approach using a transfer-matrix technique to treat the Heisenberg model of the systems, and also in terms of the tight-binding band-theoretic model with interactions limited to nearest neighbors. The computations indicate that both methods predict the presence or absence of the same distortions in most of the polymers studied.

Valence-bond treatment of distortions in polyacene polymers

Distortions of polyacene polymers are studied within a many-body valence-bond framework using a powerful transfer-matrix technique for the valence-bond (or Heisenberg) model of the system. The computations suggest that the ground-state geometry is either totally symmetric or possibly exhibits a slight (A2 or B2 symmetry) bond-alternation distortion. The lowest-energy (nonsymmetric, in-plane) distortions are the A2 and B2 modes, which, within our approximations, are degenerate.

Suorityskyvyn mittaaminen johtamisen apuvälineenä prosessiorganisaatiossa.

Prosessiorganisaatiossa johtamisen ja prosessien tavoitteena on tyydyttää asiakkaan (sisäinen tai ulkoinen) tarpeet. Mittaamisen sitominen prosessin suorityskyvyn mittaamiseen antaa johdolle kuvan yrityksen toiminnasta. Suorityskykymittariston ja yksittäisten mittareiden avulla yritysjohto pystyy arvioimaan toiminnan tasoa, asettamaan tavoitteita sekä seuraamaan asettamiensa tavoitteiden toteutumista. Työn ensimmäisenä tavoitteena oli kartoittaa edellytyksiä sekä tukea Balanced Scorecardin mukaisen suorityskykymittariston tulevaisuuden implementointia. Mittaristo on tarkoitettu toimitusketjun prosessien tehokkuuden mittaamiseen. Työn toisena tavoitteena oli prosessipohjaisen ajattelutavan tukeminen suorituskykymittariston avulla. Implementoinnin edellytyksiä testattiin valitsemalla kaksi ensimmäisen tason avainmittaria pilottimittareiksi. Varaston suorityskykyä mittaavien pilottimittareiden avulla selvitettiin SC tuoteryhmän osalta toimitusketjun suorituskyky avainasiakkaiden ja tärkeiden markkina-alueiden osalta. Erona käytössä oleviin mittareihin on se, että uudet avainmittarit kattavat koko yrityksen toimitusketjun, kun tällä hetkellä käytössä olevat mittarit mittaavat toimitusketjun yksittäisiä osia. Uusien avaimittareiden lähtöarvot selvitettiin tietokantakyselyjen avulla. Tietokyselyt suoritettiin useissa yksittäisissä tietojärjejestelmissä, jonka jälkeen niiden tulokset koottiin yhteen tiedostoon ja analysoitiin PC sovellusten avulla. Mittauskohteet oli valittu yhdessä linjaorganisaation kanssa. Näin taattiin yhtiön johdon sitoutuminen mittariston kehittämiseen ja käyttöönottoon. Organisaatiossa yksittäisten prosessien (esim. mittaamisprosessi) vastuualueiden selventämiseen käytettiin koeluonteisesti vastuumatriisitekniikkaa. Prosessiorganisaatiossa johtamisen ja prosessien tavoitteena on tyydyttää asiakkaan (sisäinen tai ulkoinen) tarpeet. Mittaamisen sitominen prosessin suorityskyvyn mittaamiseen antaa johdolle kuvan yrityksen toiminnasta. Suorityskykymittariston ja yksittäisten mittareiden avulla yritysjohto pystyy arvioimaan toiminnan tasoa, asettamaan tavoitteita sekä seuraamaan asettamiensa tavoitteiden toteutumista. Työn ensimmäisenä tavoitteena oli kartoittaa edellytyksiä sekä tukea Balanced Scorecardin mukaisen suorityskykymittariston tulevaisuuden implementointia. Mittaristo on tarkoitettu toimitusketjun prosessien tehokkuuden mittaamiseen. Työn toisena tavoitteena oli prosessipohjaisen ajattelutavan tukeminen suorituskykymittariston avulla.Implementoinnin edellytyksiä testattiin valitsemalla kaksi ensimmäisen tason avainmittaria pilottimittareiksi. Varaston suorityskykyä mittaavien pilottimittareiden avulla selvitettiin SC tuoteryhmän osalta toimitusketjun suorituskyky avainasiakkaiden ja tärkeiden markkina-alueiden osalta. Erona käytössä oleviin mittareihin on se, että uudet avainmittarit kattavat koko yrityksen toimitusketjun, kun tällä hetkellä käytössä olevat mittarit mittaavat toimitusketjun yksittäisiä osia. Uusien avaimittareiden lähtöarvot selvitettiin tietokantakyselyjen avulla. Tietokyselyt suoritettiin useissa yksittäisissä tietojärjejestelmissä, jonka jälkeen niiden tulokset koottiin yhteen tiedostoon ja analysoitiin PC sovellusten avulla. Mittauskohteet oli valittu yhdessä linjaorganisaation kanssa. Näin taattiin yhtiön johdon sitoutuminen mittariston kehittämiseen ja käyttöönottoon. Organisaatiossa yksittäisten prosessien (esim. mittaamisprosessi) vastuualueiden selventämiseen käytettiin koeluonteisesti vastuumatriisitekniikkaa.

Crystallographic studies of fish hemoglobins

The present work reports our succesfull experience concerning crystallization of four fish hemoglobins from three Brazilian species of Teleosts: Liposarcus anisitsi, Brycon cephalus and Piaractus mesopotamicus. The data shown here is part of a systematic functional and structural study of fish hemoglobins with the aim of better understanding the outstanding range of functional and structural properties exhibited by these proteins. We also present a reduced sparse-matrix method for crystallization of fish hemoglobins, which can reduce the amount of hemoglobin initially used in the crystallization experiments.

Spin-Peierls vs Peierls distortions in a family of conjugated polymers

Distortions in a family of conjugated polymers are studied using two complementary approaches: within a many-body valence bond approach using a transfer-matrix technique to treat the Heisenberg model of the systems, and also in terms of the tight-binding band-theoretic model with interactions limited to nearest neighbors. The computations indicate that both methods predict the presence or absence of the same distortions in most of the polymers studied.

Periodic Reordering

For many networks in nature, science and technology, it is possible to order the nodes so that most links are short-range, connecting near-neighbours, and relatively few long-range links, or shortcuts, are present. Given a network as a set of observed links (interactions), the task of finding an ordering of the nodes that reveals such a range-dependent structure is closely related to some sparse matrix reordering problems arising in scientific computation. The spectral, or Fiedler vector, approach for sparse matrix reordering has successfully been applied to biological data sets, revealing useful structures and subpatterns. In this work we argue that a periodic analogue of the standard reordering task is also highly relevant. Here, rather than encouraging nonzeros only to lie close to the diagonal of a suitably ordered adjacency matrix, we also allow them to inhabit the off-diagonal corners. Indeed, for the classic small-world model of Watts & Strogatz (1998, Collective dynamics of ‘small-world’ networks. Nature, 393, 440–442) this type of periodic structure is inherent. We therefore devise and test a new spectral algorithm for periodic reordering. By generalizing the range-dependent random graph class of Grindrod (2002, Range-dependent random graphs and their application to modeling large small-world proteome datasets. Phys. Rev. E, 66, 066702-1–066702-7) to the periodic case, we can also construct a computable likelihood ratio that suggests whether a given network is inherently linear or periodic. Tests on synthetic data show that the new algorithm can detect periodic structure, even in the presence of noise. Further experiments on real biological data sets then show that some networks are better regarded as periodic than linear. Hence, we find both qualitative (reordered networks plots) and quantitative (likelihood ratios) evidence of periodicity in biological networks.

Soluble one-dimensional particle conservation models with infinitely many absorbing states

Particle conservation lattice-gas models with infinitely many absorbing states are studied on a one-dimensional lattice. As one increases the particle density, they exhibit a phase transition from an absorbing to an active phase. The models are solved exactly by the use of the transfer matrix technique from which the critical behavior was obtained. We have found that the exponent related to the order parameter, the density of active sites, is 1 for all studied models except one of them with exponent 2.

Wannier functions of isolated bands in one-dimensional crystals

We present a simple procedure to obtain the maximally localized Wannier function of isolated bands in one-dimensional crystals with or without inversion symmetry. First, we discuss the generality of dealing with real Wannier functions. Next, we use a transfer-matrix technique to obtain nonoptimal Bloch functions which are analytic in the wave number. This produces two classes of real Wannier functions. Then, the minimization of the variance of the Wannier functions is performed, by using the antiderivative of the Berry connection. In the case of centrosymmetric crystals, this procedure leads to the Wannier-Kohn functions. The asymptotic behavior of the Wannier functions is also analyzed. The maximally localized Wannier functions show the expected exponential and power-law decays. Instead, nonoptimal Wannier functions may show reduced exponential and anisotropic power-law decays. The theory is illustrated with numerical calculations of Wannier functions for conduction electrons in semiconductor superlattices.

Fast-forward/fast-backward substitutions on vector computers

This paper deals with approaches for sparse matrix substitutions using vector processing. Many publications have used the W-matrix method to solve the forward/backward substitutions on vector computer. Recently a different approach has been presented using dependency-based substitution algorithm (DBSA). In this paper the focus is on new algorithms able to explore the sparsity of the vectors. The efficiency is tested using linear systems from power systems with 118, 320, 725 and 1729 buses. The tests were performed on a CRAY Y MP2E/232. The speedups for a fast-forward/fast-backward using a 1729-bus system are near 19 and 14 for real and complex arithmetic operations, respectively. When forward/backward is employed the speedups are about 8 and 6 to perform the same simulations.

Study of charge transport in blends of natural rubber and poly(o-methoxyaniline) based on a resistor network statistical model

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Mechanism of charge transport in castor oil-based polyurethane/carbon black composite (PU/CB)

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Crystallographic studies of fish hemoglobins

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Band-edge states of the zero(th)-order gap in quasi-periodic photonic superlattices

The photonic modes of Thue-Morse and Fibonacci lattices with generating layers A and B, of positive and negative indices of refraction, are calculated by the transfer-matrix technique. For Thue-Morse lattices, as well for periodic lattices with AB unit cell, the constructive interference of reflected waves, corresponding to the zero(th)-order gap, takes place when the optical paths in single layers A and B are commensurate. In contrast, for Fibonacci lattices of high order, the same phenomenon occurs when the ratio of those optical paths is close to the golden ratio. In the long wavelength limit, analytical expressions defining the edge frequencies of the zero(th) order gap are obtained for both quasi-periodic lattices. Furthermore, analytical expressions that define the gap edges around the zero(th) order gap are shown to correspond to the = 0 and = 0 conditions.