In the past few years magneto-optical flux imaging (MOI) has come to take an increasing role in the investigation and understanding of critical current densities in high-T c superconductors (HTS). This has been related to the significant progress in quantitative high-resolution magnetooptical imaging of flux distributions together with the model-independent determination of the corresponding current distributions. We review in this article the magneto-optical imaging technique and experiments on thin films, single crystals, polycrystalline bulk ceramics, tapes and melt-textured HTS materials and analyse systematically the properties determining the spatial distribution and the magnitude of the supercurrents. First of all, the current distribution is determined by the sample geometry. Due to the boundary conditions at the sample borders, the current distribution in samples of arbitrary shape splits up into domains of nearly uniform parallel current flow which are separated by current domain boundaries, where the current streamlines are sharply bent. Qualitatively, the current pattern is described by the Bean model; however, changes due to a spatially dependent electric field distribution which is induced by flux creep or flux flow have to be taken into account. For small magnetic fields, the Meissner phase coexists with pinned vortex phases and the geometry-dependent Meissner screening currents contribute to the observed current patterns. The influence of additional factors on the current domain patterns are systematically analysed: local magnetic field dependence of j c (B), current anisotropy, inhomogeneities and local transport properties of grain boundaries. We then continue to an overview of the current distribution and current-limiting factors of materials, relevant to technical applications like melt-textured samples, coated conductors and tapes. Finally, a selection of magneto-optical experiments which give direct insight into vortex pinning and depinning mechanisms are reviewed.

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Large-scale applications of high-transition-temperature (high-T(c)) superconductors, such as their use in superconducting cables, are impeded by the fact that polycrystalline materials (the only practical option) support significantly lower current densities than single crystals. The superconducting critical current density (J(c)) across a grain boundary drops exponentially if the misorientation angle exceeds 2 degrees -7 degrees. Grain texturing reduces the average misorientation angle, but problems persist. Adding impurities (such as Ca in YBa2Cu3O7-delta; YBCO) leads to increased J(c) (refs 9, 10), which is generally attributed to excess holes introduced by Ca2+ substituting for Y3+ (ref. 11). However, a comprehensive physical model for the role of grain boundaries and Ca doping has remained elusive. Here we report calculations, imaging and spectroscopy at the atomic scale that demonstrate that in poly-crystalline YBCO, highly strained grain-boundary regions contain excess O vacancies, which reduce the local hole concentration. The Ca impurities indeed substitute for Y, but in grain-boundary regions under compression and tension they also replace Ba and Cu, relieving strain and suppressing O-vacancy formation. Our results demonstrate that the ionic radii are more important than their electronic valences for enhancing J(c).

Polarons, the combined motion of electrons in a cloth of their lattice distortions, are a key transport feature in doped manganites. To develop a profound understanding of the colossal resistance effects induced by external fields, the study of polaron correlations and the resulting collective polaron behavior, i.e., polaron ordering and transition from polaronic transport to metallic transport is essential. We show that static long-range ordering of Jahn-Teller polarons forms a polaron solid which represents a new type of charge and orbital ordered state. The related noncentrosymmetric lattice distortions establish a connection between colossal resistance effects and multiferroic properties, i.e., the coexistence of ferroelectric and antiferromagnetic ordering. Colossal resistance effects due to an electrically induced polaron solid-liquid transition are directly observed in a transmission electron microscope with local electric stimulus applied in situ using a piezo-controlled tip. Our results shed light onto the colossal resistance effects in magnetic field and have a strong impact on the development of correlated electron-device applications such as resistive random access memory (RRAM).correlated electrons ͉ magnetism ͉ oxide M aterials with a coexistence of a variety of electronic and lattice interactions of similar strength are able to create fundamentally differing electronic ground states (1). In doped manganites (Re 1Ϫx A x MnO 3 ; Re and A are rare-and alkaline-earth cations), this includes ferromagnetic metallic, paramagnetic insulating and antiferromagnetic charge and orbital ordered states, representing different collective behavior of the microscopic lattice, charge, orbital, and spin degrees of freedom (2). External fields influence the subtle balance of the interactions and the induced phase transitions between different ground states are related to colossal resistance effects in magnetic (3, 4), electric (5), photon (6), and strain fields (7). They offer great opportunities for new correlated electron devices (8), e.g., in magnetoelectronics and nonvolatile electronic data storage.Among various interactions, two different basic types of electron-lattice coupling (9) play a distinct role in manganites: One is the effect of the static crystal structure on electron transport and bonding. Different ion radii of the involved Re and A cations generate different internal stress on the MnOOOMn bonds. The different resulting types of lattice distortions involve transitions from the ideal cubic to hexagonal, rhombohedral, and orthorhombic structures (10, 11), which may induce polar distortions or even multiferroic ordering, i.e., the presence of electric and magnetic order of electrons in a single phase (12). In doped systems, the decrease of the MnOOOMn bonding angle below 180°due to rigid rotations of the MnO 6 octahedra (for example, see Fig. 2a) results in a strong reduction of the bandwidth of the e g conduction electrons, the conductivity, and the related ferromagnetic double exchange (13).In addit...

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