Entanglement Structure of Deconfined Quantum Critical Points

We study the entanglement properties of deconfined quantum critical points. We show not only that these critical points may be distinguished by their entanglement structure but also that they are in general more highly entangled that conventional critical points. We primarily focus on computations of the entanglement entropy of deconfined critical points in 2+1 dimensions, drawing connections to topological entanglement entropy and a recent conjecture on the monotonicity under RG flow of universal terms in the entanglement entropy. We also consider in some detail a variety of issues surrounding the extraction of universal terms in the entanglement entropy. Finally, we compare some of our results to recent numerical simulations.Comment: 12 pages, 4 figure

Nonintegrability of (2+1)-dimensional continuum isotropic Heisenberg spin system: Painlev\'e analysis

While many integrable spin systems are known to exist in (1+1) and (2+1) dimensions, the integrability property of the physically important (2+1) dimensional isotropic Heisenberg ferromagnetic spin system in the continuum limit has not been investigated in the literature. In this paper, we show through a careful singularity structure analysis of the underlying nonlinear evolution equation that the system admits logarithmic type singular manifolds and so is of non-Painlev\'e type and is expected to be nonintegrable.Comment: 11 pages. to be published in Phys. Lett. A (2006

A Survey on Data Mining Techniques for Prediction of Heart Diseases

International audienceHeart disease (HD) is a disease of the heart or blood vessels, which causes death. In recent scenario, health issues are huge, due to this nature predicting and classifying into different conditions are very tedious. The field of data mining has involved in those domains to predict and to classify the abnormality along with its risk level. The previous studies have used several features to diagnosis the disease, which has been collected from patients. By applying different data mining algorithms, the patient data can be used for diagnosis as training samples. The main drawbacks of the previous studies are that need accurate and more number of features. This paper surveys about the recent data mining techniques applied for predicting heart diseases

Possible ferro-spin nematic order in NiGa2S4

We explore the possibility that the spin-1 triangular lattice magnet NiGa2 S4 may have a ferro-nematic ground state with no frozen magnetic moment but a uniform quadrupole moment. Such a state may be stabilized by biquadratic spin interactions. We describe the physical properties of this state and suggest experiments to help verify this proposal. We also contrast this state with a `non-collinear' nematic state proposed earlier by Tsunetsugu and Arikawa for NiGa2S4

Correlated Topological Insulators and the Fractional Magnetoelectric Effect

Topological insulators are characterized by the presence of gapless surface modes protected by time-reversal symmetry. In three space dimensions the magnetoelectric response is described in terms of a bulk theta term for the electromagnetic field. Here we construct theoretical examples of such phases that cannot be smoothly connected to any band insulator. Such correlated topological insulators admit the possibility of fractional magnetoelectric response described by fractional theta/pi. We show that fractional theta/pi is only possible in a gapped time reversal invariant system of bosons or fermions if the system also has deconfined fractional excitations and associated degenerate ground states on topologically non-trivial spaces. We illustrate this result with a concrete example of a time reversal symmetric topological insulator of correlated bosons with theta = pi/4. Extensions to electronic fractional topological insulators are briefly described.Comment: 4 pages + ref

ARCUATE FORAMEN OF ATLAS VERTEBRA

ABSTRACTThe Arcuate foramen is a bony arch which connects the posterior end of the superior articular fossa with the posterior arch of atlas. In case of presence of arcuate foramen the vertebral artery follows the normal course but it has to traverse through the osseo fibrous ring (arcuate foramen).Aim & ObjectivesTo determine the height, width, and area of arcuate foramen and to determine the morphometric difference between the transverse foramen and the canal formed by bony bridges over the vertebral artery of the atlas vertebra.Materials & MethodsA total of 75 dry human atlas vertebrae were taken for the study. These vertebrae were examined carefully for the presence of arcuate foramen. Measurements of the maximum dimensions of the arcuate foramen and foramen transversarium were taken. Area of the arcuate foramen was calculated. Differences in dimension of arcuate foramen  and foramen transversarium were compared. Side differences of arcuate foramen were compared using the unpaired Student's t test.ResultsThe dimension of arcuate foramen of both sides as compared with dimension of foramen transversarium was found to be more, so the chance of compression of vertebral artery on both sides was less. The percentage of occurrence of arcuate foramen was 2.25% (bilateral) and ponticles was (1.5%) unilateral. ConclusionThe dimension of arcuate foramen was more when compared to foramen Transversarium dimensions so the chances of compression of vertebral artery would be less. The knowledge of these foramina may be important for orthopedic surgeons, radiologists, neurosurgeons, and anthropologists. KEYWORDS -Ponticulus Posticus, Arcuate Foramen, Atlas Vertebra, Foramen Transversarium