Magnetic behavior of single crystalline Ho2_2PdSi3_3

The magnetic behavior of single-crystal Ho$_2$PdSi$_3$, crystallizing in an AlB$_2$-derived hexagonal structure, is investigated by magnetic susceptibility ($\chi$) and electrical resistivity ($\rho$) measurements along two directions. There is no dramatic anisotropy in the high temperature Curie-Weiss parameter or in the $\rho$ and isothermal magnetization data, though there is a noticeable anisotropy in the magnitude of $\rho$ between two perpendicular orientations. The degree of anisotropy is overall less prominent than in the Gd (which is an S-state ion!) and Tb analogues. A point of emphasis is that this compound undergoes long range magnetic ordering below 8 K as in the case of analogous Gd and Dy compounds. Considering this fact for these compounds with well-localised f-orbital, the spin glass freezing noted for isomorphous U compounds in the recent literature could be attributed to the role of the f-ligand hybridization, rather than just Pd-Si disorder.Comment: Physical Review B, in pres

Meromorphic Continuation Of Global Zeta Functions for Number Fields

In the paper, we shall establish the existence of a meromorphic continuation of the Global Zeta Functions $\zeta(f,\chi)$ of a Global Number Field $K$ and also deduce the functional equation for the same, using different properties of the id\`ele class group $\mathcal{C}_K^1$ of a global field $K$ extensively defined using basic notions of Ad\`eles ($\mathbb{A}_K$) and Id\`eles ($\mathbb{I}$) of $K$, and also evaluating Fourier Transforms of functions $f$ on the space $\mathcal{S}(\mathbb{A}_K)$ of Ad\`elic Schwartz-Bruhat Functions. A brief overview of most of the concepts required to prove our desired result have been provided to the readers in the earlier sections of the text.Comment: 23 Page

Fabrication of Decorative Fluorescent Composite Material

Decorative Composites are the composite materials having artistic characteristics in addition to functional characteristics. It is highly possible that the decorative composites may produce an entire new field on the fibrous composite industry. Natural fiber reinforced composite is gaining attention and considered as an eco-friendly material. Generally cellulosic fibers are used to reinforce the composites. In this paper, we proposed a method for producing artistic composite from artistic fabric by using sisal fiber. In order to expand applications of the fiber reinforced composite, we performed the hand lay-up method for the preparation of mold with the help of themocoul. Then using epoxy resin as matrix we prepared a decorative composite with sisal fiber as reinforced material. To make it more attractive, fluorescent materials have been added which disturbed the curing property of epoxy resin and took a lot more time. But finally we got decorative fluorescent composite materials with desired shape

Constraints on parity violating conformal field theories in d=3d=3

We derive constraints on three-point functions involving the stress tensor, $T$, and a conserved $U(1)$ current, $j$, in 2+1 dimensional conformal field theories that violate parity, using conformal collider bounds introduced by Hofman and Maldacena. Conformal invariance allows parity-odd tensor-structures for the $\langle T T T \rangle$ and $\langle j j T \rangle$ correlation functions which are unique to three space-time dimensions. Let the parameters which determine the $\langle T T T \rangle$ correlation function be $t_4$ and $\alpha_T$ , where $\alpha_T$ is the parity-violating contribution. Similarly let the parameters which determine $\langle j j T \rangle$ correlation function be $a_2$, and $\alpha_J$ , where $\alpha_J$ is the parity-violating contribution. We show that the parameters $(t_4, \alpha_T)$ and $(a_2, \alpha_J)$ are bounded to lie inside a disc at the origin of the $t_4$ - $\alpha_T$ plane and the $a_2$ - $\alpha_J$ plane respectively. We then show that large $N$ Chern-Simons theories coupled to a fundamental fermion/boson lie on the circle which bounds these discs. The `t Hooft coupling determines the location of these theories on the boundary circles.Comment: Minor typos corrected, Figures changed , References adde