A measure of conductivity for lattice fermions at finite density

We study the linear response to an external electric field of a system of fermions in a lattice at zero temperature. This allows to measure numerically the Euclidean conductivity which turns out to be compatible with an analytical calculation for free fermions. The numerical method is generalizable to systems with dynamical interactions where no analytical approach is possible.Comment: version to be published in Physics Letters

Monte Carlo studies of antiferromagnetic spin models in three dimensions

We study several antiferromagnetic formulations of the O(3) spin model in three dimensions by means of Monte Carlo simulations. We discuss about the vacua properties and analyze the phase transitions. Using Finite Size Scaling analysis we conclude that all phase transitions found are of first orderComment: 4 pages, 2 Postscript figures. Contribution to Lattice '9

Antiferromagnetism in four dimensions: search for non-triviality

We present antiferromagnetism as a mechanism capable of modifying substantially the phase diagram and the critical behaviour of statistical mechanical models. This is particularly relevant in four dimensions, due to the connection between second order transition points and the continuum limit as a quantum field theory. We study three models with an antiferromagnetic interaction: the Ising and the O(4) Models with a second neighbour negative coupling, and the \RP{2} Model. Different conclusions are obtained depending on the model.Comment: 4 pages LateX. Contribution to Lat9

Phase diagram and influence of defects in the double perovskites

The phase diagram of the double perovskites of the type Sr_{2-x} La_x Fe Mo O_6 is analyzed, with and without disorder due to antisites. In addition to an homogeneous half metallic ferrimagnetic phase in the absence of doping and disorder, we find antiferromagnetic phases at large dopings, and other ferrimagnetic phases with lower saturation magnetization, in the presence of disorder.Comment: 4 pages, 3 postscript figures, some errata correcte

Phase diagram of d=4 Ising Model with two couplings

We study the phase diagram of the four dimensional Ising model with first and second neighbour couplings, specially in the antiferromagnetic region, by using Mean Field and Monte Carlo methods. From the later, all the transition lines seem to be first order except that between ferromagnetic and disordered phases in a region including the first-neighbour Ising transition point.Comment: Latex file and 4 figures (epsfig required). It replaces the preprint entitled "Non-classical exponents in the d=4 Ising Model with two couplings". New analysis with more statistical data is performed. Final version to appear in Phys. Lett.

Hybrid Monte Carlo algorithm for the Double Exchange Model

The Hybrid Monte Carlo algorithm is adapted to the simulation of a system of classical degrees of freedom coupled to non self-interacting lattices fermions. The diagonalization of the Hamiltonian matrix is avoided by introducing a path-integral formulation of the problem, in $d+1$ Euclidean space-time. A perfect action formulation allows to work on the continuum euclidean time, without need for a Trotter-Suzuki extrapolation. To demonstrate the feasibility of the method we study the Double Exchange Model in three dimensions. The complexity of the algorithm grows only as the system volume, allowing to simulate in lattices as large as $16^3$ on a personal computer. We conclude that the second order paramagnetic-ferromagnetic phase transition of Double Exchange Materials close to half-filling belongs to the Universality Class of the three-dimensional classical Heisenberg model.Comment: 20 pages plus 4 postscript figure

The U(1)-Higgs Model: Critical Behaviour in the Confinig-Higgs region

We study numerically the critical properties of the U(1)-Higgs lattice model, with fixed Higgs modulus, in the region of small gauge coupling where the Higgs and Confining phases merge. We find evidence of a first order transition line that ends in a second order point. By means of a rotation in parameter space we introduce thermodynamic magnitudes and critical exponents in close resemblance with simple models that show analogous critical behaviour. The measured data allow us to fit the critical exponents finding values in agreement with the mean field prediction. The location of the critical point and the slope of the first order line are accurately given.Comment: 21 text pages. 12 postscript figures available on reques

Demersal Fauna on Deep Seamounts of Sierra Leone Rise (Gulf of Guinea, Africa)

From January to March 2001 an experimental fishing survey was carried out on the Sierra Leone Rise by four Spanish commercial boats, with the aim of prospecting the fishing potential for longliners of the demersal resources inhabiting the seamounts located between 9ºN-5ºN and 19ºW-27ºW, at depths between 200 m and 1 000 m. A preliminary analysis of the data recorded shows that the demersal fish fauna composition was similar in three of the ten seamounts, with an absolute dominance of the alfonsino, Beryx splendens Lowe, 1838, which accounted for more than 90% of the total catch between 200 and 800 m depth. Other commercial species in catches were Beryx decadacthylus and some Scorpenidae. The size structure and the distribution of alfonsino oscillated between 27 and 52 cm showing an increase of the mean size with depth which is similar to the pattern found in other seamounts worldwide Major abundances were located at the northern surveyed seamount where the highest yields, up to 750 kg per 1 000 hooks, were obtained. The southernmost surveyed seamount exhibited the lowest abundances and was characterized by the absence of the alfonsino in the catches. The species richness of these deep communities was very low, the accompanying fauna comprising less than 30 species. Discarded fishes were, in order of abundance: Promethicthys prometeus, Coloconger cadenati, Polymixia nobilis, Ruvettus pretiosus, Etmopterus princeps, Serranus accraensis and Gephyroberyx darwini