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We have studied the evolution of superconducting and normal state properties of neutron irradiated Mg(B$_{.962}$C$_{.038}$)$_2$ wire segments as a function of post exposure annealing time and temperature. The initial fluence fully suppressed superconductivity and resulted in an anisotropic expansion of the unit cell. Superconductivity was restored by post-exposure annealing. The upper critical field, H$_{c2}$(T=0), approximately scales with T$_c$ starting with an undamaged T$_c$ near 37 K and H$_{c2}$(T=0) near 32 T. Up to an annealing temperature of 400 $^ o$C the recovery of T$_c$ tends to coincide with a decrease in the normal state resistivity and a systematic recovery of the lattice parameters. Above 400 $^ o$C a decrease in order along the c- direction coincides with an increase in resistivity, but no apparent change in the evolution of T$_c$ and H$_{c2}$. To first order, it appears that carbon doping and neutron damaging effect the superconducting properties of MgB$_2$ independently.

We have synthesized bulk Mg(B$_{1-x}$C$_x$)$_2$ from a mixture of elemental Mg, B, and the binary compound B$_4$C. Carbon incorporation was dramatically improved by a two step reaction process at an elevated temperature of 1200 $^o$C. This reaction process results in a solubility limit near x$\sim$0.07. We found that impurities in the starting B cause an additive suppression of T$_c$. We combine these data with T$_c$ and H$_{c2}$(T=0) data from CVD wires as well as plasma spray synthesized powders and present a unifying H$_{c2}$ and T$_c$ versus x plot.

Measurements of the superconducting upper critical field, H_{c2}, and critical current density, J_c, have been carried out for MgB_2 doped with Ti and/or C in order to explore the problems encountered if these dopants are used to enhance the superconducting performance. Carbon replaces boron in the MgB_2 lattice and apparently shortens the electronic mean free path thereby raising H_c2. Titanium forms precipitates of either TiB or TiB_2 that enhance the flux pinning and raise J_c. Most of these precipitates are intra-granular in the MgB_2 phase. If approximately 0.5% Ti and approximately 2% C are co-deposited with B to form doped boron fibers and these fibers are in turn reacted in Mg vapor to form MgB_2, the resulting superconductor has H_{c2}(T=0) ~ 25 T and J_c ~ 10,000 A/cm**2 at 5 K and 2.2 T., Comment: 11 pages, 10 figures

The upper critical field, $H_{c2}$, of Mg(B$_{1-x}$C$_x$)$_2$ has been measured in order to probe the maximum magnetic field range for superconductivity that can be attained by C doping. Carbon doped boron filaments are prepared by CVD techniques, and then these fibers are then exposed to Mg vapor to form the superconducting compound. The transition temperatures are depressed about $1 K/%$ C and $H_{c2}(T=0)$ rises at about $5 T/%$ C. This means that 3.5% C will depress $T_c$ from $39.2 K$ to $36.2 K$ and raise $H_{c2}(T=0)$ from $16.0 T$ to $32.5 T$. Higher fields are probably attainable in the region of 5% C to 7% C. These rises in $H_{c2}$ are accompanied by a rise in resistivity at $40 K$ from about $0.5 \mu \Omega cm$ to about $10 \mu \Omega cm$. Given that the samples are polycrystalline wire segments, the experimentally determined $H_{c2}(T)$ curves represent the upper $H_{c2}(T)$ manifold associated with $H\perp c$.

Superconducting magnesium diboride has been prepared with intra-granular TiB precipitates that have appropriate size and spacing for the pinning of superconducting vortices. The TiB particles have a size ranging from 1 nm to 20 nm and a spacing about 5 times as large. By co-depositing Ti and B on a commercial carbon coated silicon carbide substrate with chemical vapor deposition methods, it was possible to obtain a starting fiber with Ti well dispersed in the B. Reacting these fibers in a Mg vapor then transformed the fiber into a superconductor capable of carrying 10,000 A/cm^2 at 25K and 1 T. The Ti-B bonds are strong enough that there is relatively little migration of the Ti as the MgB2 grains form around the TiB precipitates. TiB2 precipitates, if they are present, can not be seen in the selected area diffraction pictures that show the TiB precipitates., Comment: 6 pages, 4 figures. Applied Physics Letters (ssubmitted)

A series of doping experiments are reported for MgB2 conductors that have been synthesized using doped boron fibers prepared by chemical vapor deposition(CVD) methods. Undoped MgB2 samples prepared from CVD prepared fibers consistently give critical current densities, Jc, in the range of 500,000 A/cm^2 in low field at 5K. These values fall by a factor of about 100 as the magnetic field increases to 3T. For heavily Ti-doped boron fibers where the B/Ti ratio is comparable to 1, there is a substantial suppression of both Tc, superconducting volume fraction, and Jc values. If, however, a sample with a few percent Ti in B is deposited on a carbon coated SiC substrate and reacted at 1100 degrees C for 15 min, then Tc is suppressed only a couple of degrees Kelvin and critical current densities are found to be approximately 2-5 x 10^6 A/cm^2 for superconducting layers ranging from 4-10 micrometers thick. These materials show Jc values over 10,000 A/cm^2 at 25K and 1.3 T., Comment: 10 pages, 6 figures

Processing methods are described for the development of magnesium diboride wire using the chemical vapor deposition (CVD) to produce long lengths of suitably doped starting boron fiber. It is found that titanium can be co-deposited with the boron to make long lengths of doped fiber that contain both TiB and TiB2. When this fiber is reacted in Mg vapor to transform boron into MgB2, the resulting conductor has a superconducting critical current density of about 5 times 10^6 A/cm^2 at 5K and self field. The critical current density at 25K and 1 Tesla is 10,000 A/cm^2. Using optical methods to define grain boundaries and energy dispersive X-rays to determine Ti and Mg concentration, these samples show a fine dispersion of $Ti$ through out the grains and no conspicuous precipitation of TiB2 on the MgB2 grain boundaries. This is to be contrasted with the precipitation of TiB2 on MgB2 grain boundaries observed for samples prepared by solid state reaction of Ti, Mg, and B powders. Introducing Ti impurities into the B during the CVD deposition of the B gives a distribution of TiB2 in the resulting MgB2 different from solid state reaction of powders., Comment: 14 pages and 10 figures. submitted to Physica C

The basic physical properties of MgB$_2$ have been well established over the past two years of intensive research. At this point there is a general consensus about the values for the isotope shift, critical fields, most of the salient length scales, and general anisotropies. In this paper we will review the determination of these parameters and set the stage for further, more detailed discussions of specific aspects of the physics of MgB$_2$., Comment: accepted to Physica C, special MgB2 issu

Vortex fluctuations in the $La_{2-x}Sr_{x}CuO_{4+\delta}$ system have been studied as a function of magnetic field, temperature and carrier concentration in order to determine the dimensionality of the fluctuations. For a $x=0.10$ sample, there is a unique crossing-temperature on the magnetization vs. temperature plots for all magnetic fields up to 7 T, and the data scale very well with 2D fluctuation theory. At lower x-values where $H_{c2}$ is much smaller, there are two well defined crossing points, one at low fields (typically less than 1 T) and another at high fields (typically 3-7 T). A fit of the data to fluctuation theory shows that the low field crossing data scale as 2D fluctuations and the high field crossing data scale as 3D fluctuations. It would appear that as the magnetic field approaches $H_{c2}$, there is a 2D to 3D cross-over where the low field 2D pancake vortex structure transforms into a 3D vortex structure.

Thermodynamic critical field curves have been measured for $La_{2-x}Sr_{x}CuO_{4+\delta}$ over the full range of carrier concentrations where superconductivity occurs in order to determine changes in the normal state density of states with carrier concentration. There is a substantial window in the $H-T$ plane where the measurements are possible because the samples are both thermodynamically reversible and the temperature is low enough that vortex fluctuations are not important. In this window, the data fit Hao-Clem rather well, so this model is used to determine $H_c$ and $\kappa_c$ for each temperature and carrier concentration. Using N(0) and the ratio of the energy gap to transition temperature, $\Delta (0)/k_BT_c$, as fitting parameters, the $H_c vs T$ curves give $\Delta (0)/k_BT_c \sim 2.0$ over the whole range of $x$. Values of N(0) remain rather constant in the optimum-doped and overdoped regime, but drops quickly toward zero in the underdoped regime. .

We present a detailed magneto-optical investigation of the magnetic flux penetration in polycrystalline MgB2 slabs made by direct reaction of B and Mg. Our results unambiguously indicate a uniform, Bean critical state magnetization behavior with almost no electromagnetic granularity. From the measured magnetic flux profiles we were able to extract the temperature dependence of the critical current density Jc(T). The Jc(T) value reaches 1.8x10^5 A/cm2 at 10K and 0.12T, in good agreement with global magnetization measurements.

Measurements of the $10GHz$ microwave surface resistance of dense $MgB_{2}$ wire and pellet are reported. Significant improvements are observed in the wire with reduction of porosity. The data lie substantially above the theoretical estimates for a pure BCS s-wave superconductor . However the $R_{s}(20K)$ of the wire is an order of magnitude lower than that of polycrystal $YBa_{2}Cu_{3}O_{6.95}$ and matches with single crystal $YBa_{2}Cu_{3}O_{6.95}.$The results show promise for the use of $MgB_{2}$ in microwave applications., Comment: 3 pages, 3 figures

Sintered powders and wires of superconducting $MgB_2$ have been fabricated under a variety of conditions in order to determine details of the diffusion of the $Mg$ into $B$ and to study the types of defects that arise during growth. For samples prepared by exposure of boron to $Mg$ vapor at $950^{\circ}C$, the conversion of particles of less than $100\mu m$ size particles to $MgB_2$ is complete in about $2 h$. The lattice parameters of the $MgB_2$ phase determined from X-ray are independent of the starting stoichiometry and the time of reaction. Wire segments of $MgB_2$ with very little porosity have been produced by reacting $141 \mu m$ diameter boron fibers in an atmosphere of excess $Mg$ vapor at $950^{\circ}C$. Defects in the reacted fibers are predominantly the voids left as the boron is converted to $MgB_2$.

$MgB_2$ becomes superconducting just below 40 K. Whereas porous polycrystalline samples of $MgB_2$ can be synthesized from boron powders, in this letter we demonstrate that dense wires of $MgB_2$ can be prepared by exposing boron filaments to $Mg$ vapor. The resulting wires have a diameter of 160 ${\mu}m$, are better than 80% dense and manifest the full $\chi = -1/4{\pi}$ shielding in the superconducting state. Temperature-dependent resistivity measurements indicate that $MgB_2$ is a highly conducting metal in the normal state with $\rho (40 K)$ = 0.38 $\mu Ohm$-$cm$. Using this value, an electronic mean free path, $l \approx 600~\AA$ can be estimated, indicating that $MgB_2$ wires are well within the clean limit. $T_c$, $H_{c2}(T)$, and $J_c$ data indicate that $MgB_2$ manifests comparable or better superconducting properties in dense wire form than it manifests as a sintered pellet., Comment: Figures' layout fixed

Transport and thermodynamic properties of a sintered pellet of the newly discovered $MgB_2$ superconductor have been measured to determine the characteristic critical magnetic fields and critical current densities. Both resistive transition and magnetization data give similar values of the upper critical field, $H_{c2}$, with magnetization data giving $dH_{c2}/dT=0.44~T/K$ at the transition temperature of $T_c=40.2 K$. Close to the transition temperature, magnetization curves are thermodynamically reversible, but at low temperatures the trapped flux can be on the order of one Tesla. The value of $dH_c/dT$ at $T_c$ is estimated to be about $12~mT/K$, a value similar to classical superconductors like Sn. Hence, the Ginsburg-Landau parameter $\kappa \sim 26$. Estimates of the critical supercurrent density, $J_c$, using hysteresis loops and the Bean model give critical current densities on the order of $10^5~A/cm^2$. Hence the supercurrent coupling through the grain boundaries is comparable to intermetallics like $Nb_3Sn$.