Real space mapping of topological invariants using artificial neural networks

Topological invariants allow to characterize Hamiltonians, predicting the existence of topologically protected in-gap modes. Those invariants can be computed by tracing the evolution of the occupied wavefunctions under twisted boundary conditions. However, those procedures do not allow to calculate a topological invariant by evaluating the system locally, and thus require information about the wavefunctions in the whole system. Here we show that artificial neural networks can be trained to identify the topological order by evaluating a local projection of the density matrix. We demonstrate this for two different models, a 1-D topological superconductor and a 2-D quantum anomalous Hall state, both with spatially modulated parameters. Our neural network correctly identifies the different topological domains in real space, predicting the location of in-gap states. By combining a neural network with a calculation of the electronic states that uses the Kernel Polynomial Method, we show that the local evaluation of the invariant can be carried out by evaluating a local quantity, in particular for systems without translational symmetry consisting of tens of thousands of atoms. Our results show that supervised learning is an efficient methodology to characterize the local topology of a system.Comment: 9 pages, 6 figure

Supergiant Barocaloric Effects in Acetoxy Silicone Rubber over a Wide Temperature Range: Great Potential for Solid-state Cooling

Solid-state cooling based on caloric effects is considered a viable alternative to replace the conventional vapor-compression refrigeration systems. Regarding barocaloric materials, recent results show that elastomers are promising candidates for cooling applications around room-temperature. In the present paper, we report supergiant barocaloric effects observed in acetoxy silicone rubber - a very popular, low-cost and environmentally friendly elastomer. Huge values of adiabatic temperature change and reversible isothermal entropy change were obtained upon moderate applied pressures and relatively low strains. These huge barocaloric changes are associated both to the polymer chains rearrangements induced by confined compression and to the first-order structural transition. The results are comparable to the best barocaloric materials reported so far, opening encouraging prospects for the application of elastomers in near future solid-state cooling devices.Comment: 19 pages, 7 figures, 2 table

Processamento e caracterização de snack extrudado a partir de farinhas de quirera de arroz e de bandinha de feijão.

Este trabalho teve por objetivo desenvolver nova formulação de snack por extrusão termoplástica a partir de mistura de farinhas de quirera de arroz e de bandinha de feijão, bem como avaliar o potencial nutricional, tecnológico e sensorial do novo produto. A farinha de bandinha de feijão carioca foi incorporada à farinha de quirera de arroz na proporção de 30%. O snack foi produzido em extrusora monorrosca, escala piloto. Os parâmetros de extrusão foram fixos, utilizando-se três zonas de extrusão com temperaturas de 40, 60 e 85 °C; velocidade do parafuso de 177 rpm; taxa de alimentação de 292 g.min?1, e matriz circular de 3,85 mm de diâmetro. A amostra de snack foi submetida a caracterizações fisicoquímica, tecnológica e sensorial. Observou-se efeito significativo da farinha de bandinha de feijão no aumento dos teores proteico e de fibras no snack obtido, quando comparada à farinha de quirera de arroz. Em relação às características tecnológicas do produto, obteve-se 0,17 g.cm?3 para densidade aparente, 7,75 para o índice de expansão e 435, g.f para a dureza instrumental. A formulação estudada foi aceita sensorialmente, com índice de aceitação para impressão global de 76%. Conclui-se que é possível produzir snacks por extrusão a partir da incorporação de 30% de farinha de bandinha de feijão à farinha de quirera de arroz, resultando em produto aceito sensorialmente e com adequado valor nutricional

The Power of Non-Determinism in Higher-Order Implicit Complexity

We investigate the power of non-determinism in purely functional programming languages with higher-order types. Specifically, we consider cons-free programs of varying data orders, equipped with explicit non-deterministic choice. Cons-freeness roughly means that data constructors cannot occur in function bodies and all manipulation of storage space thus has to happen indirectly using the call stack. While cons-free programs have previously been used by several authors to characterise complexity classes, the work on non-deterministic programs has almost exclusively considered programs of data order 0. Previous work has shown that adding explicit non-determinism to cons-free programs taking data of order 0 does not increase expressivity; we prove that this - dramatically - is not the case for higher data orders: adding non-determinism to programs with data order at least 1 allows for a characterisation of the entire class of elementary-time decidable sets. Finally we show how, even with non-deterministic choice, the original hierarchy of characterisations is restored by imposing different restrictions.Comment: pre-edition version of a paper accepted for publication at ESOP'1

Adubação NPK do algodoeiro em cultivo adensado de safrinha no Cerrado de Goiás - safra 2010/11.

O objetivo desse trabalho foi definir doses de NPK para adubação de manutenção do algodão de safrinha adensado, nas condições do Cerrado de Goiás, em função da fertilidade do solo, da expectativa de produtividade e das quantidades exportadas desses nutrientes pela cultura

Zero-mode analysis of quantum statistical physics

We present a unified formulation for quantum statistical physics based on the representation of the density matrix as a functional integral. We identify the stochastic variable of the effective statistical theory that we derive as a boundary configuration and a zero mode relevant to the discussion of infrared physics. We illustrate our formulation by computing the partition function of an interacting one-dimensional quantum mechanical system at finite temperature from the path-integral representation for the density matrix. The method of calculation provides an alternative to the usual sum over periodic trajectories: it sums over paths with coincident endpoints, and includes non-vanishing boundary terms. An appropriately modified expansion into Matsubara modes provides a natural separation of the zero-mode physics. This feature may be useful in the treatment of infrared divergences that plague the perturbative approach in thermal field theory.Comment: 9 pages, 5 figure