We report small-angle neutron-scattering (SANS) measurements of flux line properties near H(c2) in an ultrapure sample of niobium with weak pinning of flux in the bulk. These confirm in detail the Abrikosov picture of the flux line lattice to within 20 mK of the upper critical field line. However, it has recently been claimed [X. S. Ling et al., Phys. Rev. Lett. 86, 712 (2001)], on the basis of SANS observations of a disordering of flux lines in niobium, that the flux lattice melts at temperatures clearly separated from the upper critical field line. This discrepancy may possibly arise from differences in sample purity and pinning.
A favored interpretation of the gamma <--> alpha phase transition in cerium postulates the transformation of the localized 4f state in gamma-Ce to a weakly correlated itinerant 4f band in alpha-Ce. However, results of high-energy neutron inelastic scattering measurements, presented here, show clearly that the magnetic susceptibility response from alpha-Ce follows the Ce3+ form factor despite the large, 30-fold, increase in its spectral width relative to that in gamma-Ce. This observation provides, for the first time, indisputable evidence for the localized character of the 4f state in the alpha phase. The present findings appear consistent with recent calculations combining dynamical mean-field theory with the local density approximation that indicate a strongly correlated 4f state in alpha-Ce. The localized 4f state is also fundamental to the Kondo volume collapse theories for the gamma <--> alpha phase transition in cerium.
High-resolution small-angle neutron-scattering ͑SANS͒ studies of the vortex lattice ͑VL͒ in single-crystal YNi 2 B 2 C allows us to separate Bragg scattered intensities from the multidomain VL that exists for Bʈc. A precise determination of the VL unit-cell apex angle, , shows that there is a finite transition width associated with the field-driven 45°reorientation of the VL at a field H 1 . Low-and high-field rhombic VL phases coexist over a finite range of applied field with no continuous distortion of the VL between the two phases. The smooth variation in scattered intensity from each phase through the transition indicates a redistribution of domain populations between the low-and high-field vortex structures. Our data supports the notion of a first-order reorientation phase transition in the VL at H 1 in the presence of weak static disorder ͑vortex pinning͒.Type-II superconductivity is characterized by the ''mixed'' or ''vortex'' state where quantized lines of magnetic flux thread the material and form a vortex lattice ͑VL͒. The lowest energy configuration for an array of repulsive magnetic-flux lines is usually a two-dimensional ͑2D͒ hexagonal lattice although the energy difference between hexagonal and square packing configurations is small (Ӎ2%). 1,2 Obst 3 demonstrated that a square VL exists in a low-superconducting Pb-Tl alloy when the magnetic field is orientated along a fourfold symmetry axis due to crystal anisotropy effects. Similar mass anisotropy ͑i.e., penetration depth͒ effects have also been observed in Nb. 4,5 In these lows-wave materials the underlying electronic symmetry can be modified by nonlocal interactions resulting in a fourfold symmetry and ''squaring up'' of the current and field profiles around flux lines. A similar fourfold symmetry can also exist in p-or d-wave superconductors resulting in a square VL in Sr 2 RuO 4 over almost the entire phase diagram. 6 In general, mass anisotropy effects alone cannot describe a square VL configuration but must be combined with details of the anisotropic Fermi surface and underlying crystal symmetry.The discovery 7,8 and successful growth 9 of large, high quality single crystals of the borocarbide superconductors ͓rare earth (RE)]Ni 2 B 2 C has encouraged studies of the VL within them. The RE can be occupied by the nonmagnetic ͑Lu, Y͒ or magnetic ͑Er, Tm, Ho, Dy͒ elements presenting systems that can exhibit both superconductivity and longrange magnetic order at low temperatures. 10,11 The superconducting transition temperature T c varies from about 15 K for RE ϭ Y and Lu to 6 K for Dy, with the Ginzburg-Landau parameter Ͼ5 and upper critical field B c2 as high as 10 T. The normal-state electronic mean free path l is typically an order of magnitude larger than the coherence length ͓l Ӎ300 Å, 0 Ӎ55 Å for YNi 2 B 2 C ͑Ref. 12͒ although will be dependent on sample quality͔, implying that nonlocal interactions are important in describing the properties of these clean superconducting systems. Doping studies, for example, Co into Lu(Ni 1Ϫx Co x ) 2 B 2...
The behavior of a type II superconductor in the presence of a magnetic field is governed by two characteristic length scales, the London penetration depth and the coherence length. We present magnetization measurements on MgB2 powder showing an anisotropy in the upper critical field and hence the coherence length of 6. Using the technique of small angle neutron scattering we show that this anisotropy is not mirrored in the London penetration depth, which is almost isotropic. This result can be explained by the superconductivity residing in two distinct electronic bands of the material, only one of which is highly anisotropic.
Fluorescent nanodiamonds (fNDs) containing nitrogen vacancy (NV) centers are promising candidates for quantum sensing in biological environments. This work describes the fabrication and implementation of electrospun poly lactic‐co‐glycolic acid (PLGA) nanofibers embedded with fNDs for optical quantum sensing in an environment, which recapitulates the nanoscale architecture and topography of the cell niche. A protocol that produces uniformly dispersed fNDs within electrospun nanofibers is demonstrated and the resulting fibers are characterized using fluorescent microscopy and scanning electron microscopy (SEM). Optically detected magnetic resonance (ODMR) and longitudinal spin relaxometry results for fNDs and embedded fNDs are compared. A new approach for fast detection of time varying magnetic fields external to the fND embedded nanofibers is demonstrated. ODMR spectra are successfully acquired from a culture of live differentiated neural stem cells functioning as a connected neural network grown on fND embedded nanofibers. This work advances the current state of the art in quantum sensing by providing a versatile sensing platform that can be tailored to produce physiological‐like cell niches to replicate biologically relevant growth environments and fast measurement protocols for the detection of co‐ordinated endogenous signals from clinically relevant populations of electrically active neuronal circuits.
The nature of the broad band of microscopic excitations measured in molten gallium is investigated by means of analysis of their mode eigenvectors I͑Q , ͒. The results, derived from neutron spectroscopy experiments, show that excitations with a dominant acoustic character are confined to low energy transfers. In contrast, those appearing at higher frequencies unmistakably exhibit optical character, as evidenced by the out-of-phase relationship shown by the phase of oscillations in I͑Q , ͒ that become significantly shifted relative to those of the static structure factor. Such effects are shown to arise from partial covalency that is already known to be present in gaseous, cluster and crystalline forms.
Naturally occurring paramagnetic species (PS), such as free radicals and paramagnetic metalloproteins, play an essential role in a multitude of critical physiological processes including metabolism, cell signaling and immune response. These highly dynamic species can also act as intrinsic biomarkers for a variety of disease states whilst synthetic paramagnetic probes targeted to specific sites on biomolecules enable the study of functional information such as tissue oxygenation and redox status in living systems. The work presented herein describes a new sensing method that exploits the spin dependent emission of photoluminescence (PL) from an ensemble of nitrogen vacancy centers in diamond for rapid, non-destructive detection of PS in living systems. Uniquely this approach involves simple measurement protocols that assess PL contrast with and without the application of microwaves. The method is demonstrated to detect concentrations of paramagnetic salts in solution and the widely used magnetic resonance imaging contrast agent Gadobutrol with a limit of detection of less than 10 attomol over a 100 µm x 100 µm field of view. Real time monitoring of changes in the concentration of paramagnetic salts is demonstrated with image exposure times of 20 ms. Further, dynamic tracking of chemical reactions is demonstrated via the conversion of low spin cyanide coordinated Fe 3+ to hexaaqua Fe 3+ under acidic conditions. Finally, the capability to map paramagnetic species in model cells with sub-cellular resolution is demonstrated using lipid membranes containing gadolinium labelled phospholipids under ambient conditions in the order of minutes. Overall, this work introduces a new sensing approach for the realization of fast, sensitive imaging of PS in a widefield format that is readily deployable in biomedical settings. Ultimately this new approach to NV based quantum sensing paves the way towards minimally invasive real-time mapping and observation of free radicals in in vitro cellular environments.
Detailed high-resolution small-angle neutron diffraction measurements have been used to determine the structural phase diagram of the vortex lattice ͑VL͒ in YNi 2 B 2 C with H ʈ c. At low temperatures ͑T Ӷ T c ͒ the first-order 45°reorientation transition at a field H 1 ͑T͒ and second-order rhombic to square transition, H 2 ͑T͒ have previously been described by the effects of Fermi surface ͑FS͒ anisotropy and nonlocality. H 1 ͑T͒ decreases while H 2 ͑T͒ increases with increasing temperature. Measurements of the VL structure as close to the upper critical field T c2 ͑H͒ as is currently experimentally feasible show no evidence of significant upward curvature or reentrance of H 2 that is expected when thermal fluctuations suppress nonlocality. For fields H 1 ͑T͒ Ͻ H Ͻ H 2 ͑T͒ the VL remains rhombic and shows no sign of becoming hexagonal close to T c2 ͑H͒. Our data suggest that an underlying electronic asymmetry, other than FS and nonlocal effects and likely due to an anisotropic superconducting gap, controls the VL structure close to T c2 ͑H͒.The morphology of the vortex lattice ͑VL͒ in type-II superconductors continues to attract a great deal of interest due to the inherent correlation between the symmetry of the underlying electronic structure, details of the pairing mechanism, and the macroscopic physics of the VL. 1-9 Changes in symmetry and orientation of the VL can arise due to an underlying anisotropy of either the Fermi surface ͑FS͒ or superconducting energy gap. This comes about since the relation between the supercurrent and vector potential of the magnetic induction can be nonlocal, reflecting the finite spatial extent of the cooper pair 0 = v F / ⌬ 0 , where v F is the Fermi velocity and ⌬ 0 is the superconducting gap at zero temperature. For "conventional" type-II superconductors ͑ Ͼ 1/ ͱ 2͒ with an isotropic gap such as Nb, PbTl, and V 3 Si square or rhombic VL structures have been observed for magnetic fields applied along a fourfold symmetry axis. [10][11][12] Kogan et al. 5,6 have been able to describe the structure, orientation, and field dependence of the VL at low temperatures in cubic V 3 Si ͑Ref. 12͒ and the tetragonal rare-earth borocarbides RNi 2 B 2 C ͑Refs. 2 and 3͒ using nonlocal corrections to the London model and estimates for the relevant Fermi velocity averages. In borocarbide superconductors the ͑nearly͒ hexagonal VL undergoes a rhombic distortion with increasing field with the long diagonal along the ͓110͔ direction. This means that the apex angle  is smaller than the usual 60°for a hexagonal VL ͓Fig. 1͑a͔͒. At a field H 1 ͑T͒ the VL undergoes a first-order 45°reorientation and simultaneous jump in  to a value greater than 60°͓Fig. 1͑b͔͒. Increasing field distorts the VL further until a square lattice is formed above H 2 ͑T͒ via a continuous transition. 1-4 In Codoped Lu͑Ni 1−x Co x ͒ 2 B 2 C increasing Co concentration decreases the mean free path l, reducing nonlocal effects, which in turn leads to a rise in H 2 ͑T͒. 13 H 2 ͑T͒ also rises with increasing temperature, again rough...
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