Algorithmic problems for free-abelian times free groups

We study direct products of free-abelian and free groups with special emphasis on algorithmic problems. After giving natural extensions of standard notions into that family, we find an explicit expression for an arbitrary endomorphism of \ZZ^m \times F_n. These tools are used to solve several algorithmic and decision problems for \ZZ^m \times F_n : the membership problem, the isomorphism problem, the finite index problem, the subgroup and coset intersection problems, the fixed point problem, and the Whitehead problem.Comment: 38 page

The medicinal use of leeches in Malta

The medical practice based on the Greek doctrine of the four humors considered that disease was due to alterations in the composition of these humors, and therapy was therefore based on attempting to restore the balance. Bleeding was the first resort in the treatment of a large majority of diseases ­ a therapeutic measure that persisted throughout the centuries. Bloodletting generally took the form of using a knife or lancet to open a vein, a procedure referred to as venesection or phlebotomy. A gentler and more desirable form of bleeding was to put a leech on the affected part and to let the animal engorge itself with the bad blood thought to dwell below the point of application. Leeches have been used medically for centuries; in Europe the use of leeches to drain off blood reached its height of popularity in the 19th century. The practice of bloodletting in the Maltese Islands dates at least to about the 2nd century AD. A tomb-slab from the late Roman/Palaeo-Christian period depicts a set of surgical instruments that include two Roman cupping vessels 1. Only 93 kilometers away from Sicily and 290 km from Northern Africa, the Maltese archipelago with its central position in the Mediterranean was an important meeting place for the various cultures that dominated the region. Malta's location at the crossroads of culture is reflected by the medical practices in use throughout the centuries. The practice of venesection in Malta persisted through the ages and during the medieval period (1539), the procedure was being carried out by the barbersurgeons against payment of one unza2. The barber-surgeons or barberotti remained responsible for venesection well into the 19th century and were only removed from the list of medical practitioners in 19213. The gentler form of bloodletting through the use of leeches was also practiced in Malta.peer-reviewe

Temperature and doping dependence of normal state spectral properties in a two-orbital model for ferropnictides

Using a second-order perturbative Green's functions approach we determined the normal state single-particle spectral function $A(\vec{k},\omega)$ employing a minimal effective model for iron-based superconductors. The microscopic model, used before to study magnetic fluctuations and superconducting properties, includes the two effective tight-binding bands proposed by S.Raghu et al. [Phys. Rev. B 77, 220503 (R) (2008)], and intra- and inter-orbital local electronic correlations, related to the Fe-3d orbitals. Here, we focus on the study of normal state electronic properties, in particular the temperature and doping dependence of the total density of states, $A(\omega)$, and of $A(\vec{k},\omega)$ in different Brillouin zone regions, and compare them to the existing angle resolved photoemission spectroscopy (ARPES) and previous theoretical results in ferropnictides. We obtain an asymmetric effect of electron and hole doping, quantitative agreement with the experimental chemical potential shifts as a function of doping, as well as spectral weight redistributions near the Fermi level as a function of temperature consistent with the available experimental data. In addition, we predict a non-trivial dependence of the total density of states with the temperature, exhibiting clear renormalization effects by correlations. Interestingly, investigating the origin of this predicted behaviour by analyzing the evolution with temperature of the k-dependent self-energy obtained in our approach, we could identify a number of specific Brillouin zone points, none of them probed by ARPES experiments yet, where the largest non-trivial effects of temperature on the renormalization are present.Comment: Manuscript accepted in Physics Letters A on Feb. 25, 201

Normal state electronic properties of LaO1−x_{1-x}Fx_{x}BiS2_{2} superconductors

A good description of the electronic structure of BiS$_{2}$-based superconductors is essential to understand their phase diagram, normal state and superconducting properties. To describe the first reports of normal state electronic structure features from angle resolved photoemission spectroscopy (ARPES) in LaO$_{1-x}$F$_{x}$BiS$_{2}$, we used a minimal microscopic model to study their low energy properties. It includes the two effective tight-binding bands proposed by Usui et al [Phys.Rev.B 86, 220501(R)(2012)], and we added moderate intra- and inter-orbital electron correlations related to Bi-($p_{Y}$, $p_{X}$) and S-($p_{Y}$, $p_{X}$) orbitals. We calculated the electron Green's functions using their equations of motion, which we decoupled in second-order of perturbations on the correlations. We determined the normal state spectral density function and total density of states for LaO$_{1-x}$F$_{x}$BiS$_{2}$, focusing on the description of the k-dependence, effect of doping, and the prediction of the temperature dependence of spectral properties. Including moderate electron correlations, improves the description of the few experimental ARPES and soft X-ray photoemission data available for LaO$_{1-x}$F$_{x}$BiS$_{2}$. Our analytical approximation enabled us to calculate the spectral density around the conduction band minimum at $\vec{k}_{0}=(0.45\pi,0.45\pi)$, and to predict the temperature dependence of the spectral properties at different BZ points, which might be verified by temperature dependent ARPES.Comment: 9 figures. Manuscript accepted in Physica B: Condensed Matter on Jan. 25, 201

Un nuevo género para Habrothrix angustidens y Akodon serrensis (RODENTIA, CRICETIDAE): de nuevo palentología y neontología se encuentran en el legado de Lund

We describe a new genus of sigmodontine rodent to allocate a fossil species from Lagoa Santa cave deposits, Habrothrix angustidens Winge, and a living species from southeastern Atlantic Forest described at the start of the past century, Akodon serrensis Thos. Tentatively, both forms are considered as synonyms pending a detailed revision of the genus. The new genus belongs to the Akodon Division of the diverse tribe Akodontini where, based on molecular evidence, it is sister to Thaptomys, another forest-dwelling akodontine. The new genus is characterized by a unique combination of morphological traits including tail shorter than head-and-body; manual and pedal digits with short claws; skull robust with pointed rostrum, broad and somewhat flat interorbital region with frontal borders divergent posteriorly, and enlarged braincase without crests; large incisive foramina with expanded palatal process of premaxillary; broad mesopterygoid fossa with anterior margin rounded; alisphenoid strut present; carotid arterial circulation pattern primitive; molars noticeably large in relation to the skull and moderately hypsodont; main molar cusps arranged in opposite pairs; first upper molar without anteromedian flexus; length of third lower molar subequal to those of second lower molar; mandible without distinct capsular process; gall bladder present; stomach unilocular and hemiglandular; 2n = 46 (FN = 46). The new genus is an Atlantic Forest endemic, indicating that the diversity of Akodontini has been overlooked outside of the Andes.Describimos un nuevo género de roedor sigmodontino para ubicar una especie fósil de los depósitos de Lagoa Santa, Habrothrix angustidens Winge y una especie viviente del sudeste de la Selva Atlántica descripta en los comienzos de la centuria pasada, Akodon serrensis Thos. Tentativamente, ambas formas son consideradas sinónimos a la espera de una revisión detallada de la diversidad del género. El nuevo género pertenece a la División Akodon de la diversa tribu Akodontini donde, sobre la base de evidencia molecular, resulta hermano de Thaptomys, otro akodontino especialista de selva. El nuevo género se caracteriza por una combinación única de rasgos morfológicos incluyendo una cola más corta que el largo cabeza-cuerpo, garras de los dedos de la mano y el pie cortas, cráneo robusto con rostro puntiagudo, región interorbitaria ancha y algo chata con los bordes frontales divergentes hacia atrás y caja craneana agrandada y sin crestas, forámenes incisivos expandidos con proceso palatal del premaxilar bien desarrollado, fosa mesopterigoidea ancha con el borde anterior redondeado, barra alisfenoidea presente, patrón de circulación carotídea primitivo, molares notablemente grandes en relación a las proporciones del cráneo y moderadamente hipsodontes, principales cúspides de los molares dispuestas en pares opuestos, primer molar superior carente de flexo anteromediano, largo del tercer molar inferior subigual al del segundo molar inferior, mandíbula sin proyección capsular evidente, vesícula biliar presente, estómago unilocular-hemiglandular, 2n = 46 (FN = 46). El nuevo género es endémico de la Selva Atlántica indicando una insospechada diversidad de los Akodontini en regiones extraandinas.Fil: Pardiñas, Ulises Francisco J.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Centro Nacional Patagónico. Instituto de Diversidad y Evolución Austral; ArgentinaFil: Geise, Lena. Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier; BrasilFil: Ventura, Karen. Universidade Federal de Itajubá; BrasilFil: Lessa, Gissele. Universidade Federal de Viçosa; Brasi

The two gap transitions in Ge1−x_{1-x}Snx_x: effect of non-substitutional complex defects

The existence of non-substitutional $\beta$-Sn defects in Ge$_{1-x}$Sn$_{x}$ was confirmed by emission channeling experiments [Decoster et al., Phys. Rev. B 81, 155204 (2010)], which established that although most Sn enters substitutionally ($\alpha$-Sn) in the Ge lattice, a second significant fraction corresponds to the Sn-vacancy defect complex in the split-vacancy configuration ( $\beta$-Sn ), in agreement with our previous theoretical study [Ventura et al., Phys. Rev. B 79, 155202 (2009)]. Here, we present our electronic structure calculation for Ge$_{1-x}$Sn$_{x}$, including substitutional $\alpha$-Sn as well as non-substitutional $\beta$-Sn defects. To include the presence of non-substitutional complex defects in the electronic structure calculation for this multi-orbital alloy problem, we extended the approach for the purely substitutional alloy by Jenkins and Dow [Jenkins and Dow, Phys. Rev. B 36, 7994 (1987)]. We employed an effective substitutional two-site cluster equivalent to the real non-substitutional $\beta$-Sn defect, which was determined by a Green's functions calculation. We then calculated the electronic structure of the effective alloy purely in terms of substitutional defects, embedding the effective substitutional clusters in the lattice. Our results describe the two transitions of the fundamental gap of Ge$_{1-x}$Sn$_{x}$ as a function of the total Sn-concentration: namely from an indirect to a direct gap, first, and the metallization transition at higher $x$. They also highlight the role of $\beta$-Sn in the reduction of the concentration range which corresponds to the direct-gap phase of this alloy, of interest for optoelectronics applications.Comment: 11 pages, 9 Figure