Determination of superconducting anisotropy from magnetization data on random powders as applied to LuNi2_2B2_2C, YNi2_2B2_2C and MgB2_2

The recently discovered intermetallic superconductor MgB2 appears to have a highly anisotopic upper critical field with Hc2(max)/Hc2(min} = \gamma > 5. In order to determine the temperature dependence of both Hc2(max) and Hc2(min) we propose a method of extracting the superconducting anisotropy from the magnetization M(H,T) of randomly oriented powder samples. The method is based on two features in dM/dT the onset of diamagnetism at Tc(max), that is commonly associated with Hc2, and a kink in dM/dT at a lower temperature Tc(min). Results for LuNi2B2C and YNi2B2C powders are in agreement with anisotropic Hc2 obtained from magneto-transport measurements on single crystals. Using this method on four different types of MgB2 powder samples we are able to determine Hc2(max)(T) and Hc2(min)(T) with \gamma \approx 6

Hypoxia-ischemia produces focal disruption of glutamate receptors in developing brain

We examined the impact of a perinatal hypoxic-ischemic insult on the distribution of glutamate receptors in developing brain. We used a well characterized rodent model for perinatal hypoxic-ischemic encephalopathy, unilateral carotid artery occlusion followed by exposure to 8% oxygen for 2.5 h in 7-day-old rat pups. This preparation results in focal neuronal damage in striatum, hippocampus, and cortex ipsilateral to ligation. Alterations in the regional distribution of glutamate binding in the first 24 h after the insult were assessed with quantitative in vitro [3H]glutamate autoradiography. In lesioned animals, we found progressive selective reductions in [3H]glutamate binding in forebrain ipsilateral to ligation in regions destined for neuronal damage. The earliest and most prominent unilateral reductions in binding were noted in the dentate gyrus of hippocampus (-45 +/- 9%, compared with contralateral hemisphere at 24 h). Acute reductions in specific glutamate binding appear to be a sensitive marker for hypoxic-ischemic neuronal damage in the immature brain. These observations suggest that neurons bearing glutamate receptors may be particularly susceptible to hypoxic-ischemic injury.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/26646/1/0000188.pd

Glutamate recognition sites in human fetal brain

We used in vitro autoradiography with [3H]glutamate to examine the distribution of glutamate recognition sites in 18 and 21 week gestation human fetal brains. We found a wide distribution of [3H]glutamate binding in both specimens, in a pattern distinct from that reported in adult brain using the same autoradiographic methods. In fetal brain, prominent [3H]glutamate binding was evident in hippocampal formation, caudate-putamen, globus pallidus, subthalamic nucleus, reticular nucleus of thalamus and substantia innominata.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/27426/1/0000464.pd

A High Statistics Search for Ultra-High Energy Gamma-Ray Emission from Cygnus X-3 and Hercules X-1

We have carried out a high statistics (2 Billion events) search for ultra-high energy gamma-ray emission from the X-ray binary sources Cygnus X-3 and Hercules X-1. Using data taken with the CASA-MIA detector over a five year period (1990-1995), we find no evidence for steady emission from either source at energies above 115 TeV. The derived upper limits on such emission are more than two orders of magnitude lower than earlier claimed detections. We also find no evidence for neutral particle or gamma-ray emission from either source on time scales of one day and 0.5 hr. For Cygnus X-3, there is no evidence for emission correlated with the 4.8 hr X-ray periodicity or with the occurrence of large radio flares. Unless one postulates that these sources were very active earlier and are now dormant, the limits presented here put into question the earlier results, and highlight the difficulties that possible future experiments will have in detecting gamma-ray signals at ultra-high energies.Comment: 26 LaTeX pages, 16 PostScript figures, uses psfig.sty to be published in Physical Review

A system of ODEs for a Perturbation of a Minimal Mass Soliton

We study soliton solutions to a nonlinear Schrodinger equation with a saturated nonlinearity. Such nonlinearities are known to possess minimal mass soliton solutions. We consider a small perturbation of a minimal mass soliton, and identify a system of ODEs similar to those from Comech and Pelinovsky (2003), which model the behavior of the perturbation for short times. We then provide numerical evidence that under this system of ODEs there are two possible dynamical outcomes, which is in accord with the conclusions of Pelinovsky, Afanasjev, and Kivshar (1996). For initial data which supports a soliton structure, a generic initial perturbation oscillates around the stable family of solitons. For initial data which is expected to disperse, the finite dimensional dynamics follow the unstable portion of the soliton curve.Comment: Minor edit

Dimensional Crossover of Localisation and Delocalisation in a Quantum Hall Bar

The 2-- to 1--dimensional crossover of the localisation length of electrons confined to a disordered quantum wire of finite width $L_y$ is studied in a model of electrons moving in the potential of uncorrelated impurities. An analytical formula for the localisation length is derived, describing the dimensional crossover as function of width $L_y$, conductance $g$ and perpendicular magnetic field $B$ . On the basis of these results, the scaling analysis of the quantum Hall effect in high Landau levels, and the delocalisation transition in a quantum Hall wire are reconsidered.Comment: 12 pages, 7 figure

Weak lensing, dark matter and dark energy

Weak gravitational lensing is rapidly becoming one of the principal probes of dark matter and dark energy in the universe. In this brief review we outline how weak lensing helps determine the structure of dark matter halos, measure the expansion rate of the universe, and distinguish between modified gravity and dark energy explanations for the acceleration of the universe. We also discuss requirements on the control of systematic errors so that the systematics do not appreciably degrade the power of weak lensing as a cosmological probe.Comment: Invited review article for the GRG special issue on gravitational lensing (P. Jetzer, Y. Mellier and V. Perlick Eds.). V3: subsection on three-point function and some references added. Matches the published versio

Electron Spin Polarization in Resonant Interband Tunneling Devices

We study spin-dependent interband resonant tunneling in double-barrier InAs/AlSb/ GaMnSb heterostructures. We demonstrate that these structures can be used as spin filters utilizing spin-selective tunneling of electrons through the light-hole resonant channel. High densities of the spin polarized electrons injected into bulk InAs make spin resonant tunneling devices a viable alternative for injecting spins into a semiconductor. Another striking feature of the proposed devices is the possibility of inducing additional resonant channels corresponding to the heavy holes. This can be implemented by saturating the in-plane magnetization in the quantum well.Comment: 11 pages, 4 eps figure