Josephson effect in d-wave superconductor junctions in a lattice model

Josephson current between two d-wave superconductors is calculated by using a lattice model. Here we consider two types of junctions, $i.e.$, the parallel junction and the mirror-type junction. The maximum Josephson current $(J_{c})$ shows a wide variety of temperature ($T$) dependence depending on the misorientation angles and the types of junctions. When the misorientation angles are not zero, the Josephson current shows the low-temperature anomaly because of a zero energy state (ZES) at the interfaces. In the case of mirror-type junctions, $J_c$ has a non monotonic temperature dependence. These results are consistent with the previous results based on the quasiclassical theory. [Y. Tanaka and S. Kashiwaya: Phys. Rev. B \textbf{56} (1997) 892.] On the other hand, we find that the ZES disappears in several junctions because of the Freidel oscillations of the wave function, which is peculiar to the lattice model. In such junctions, the temperature dependence of $J_{c}$ is close to the Ambegaokar-Baratoff relation.Comment: 17 pages, 10 figures, using jpsj2.cls and oversite.st

Plantation-Seeding Forest Plantations – the New Method for Regeneration of Coniferous Forests at Large Clearings on Burned Lands

The new method of restoration of coniferous stands on large felling areas on burnt lands that lack seed trees is discussed. It involves limited planting of big grafted seedlings of quality wood, that have a high level of seed production, with the purpose of the subsequent natural sowing on these territories. Results of two-year-old research on approbation of the method on cuttings on large felling areas on burnt lands in conditions of the mid-Ob' river pine forests are stated. A good viability of «seed cultures» is noted. There is damage of the grafting pines by elk. Therefore there is a problem of protecting plantations against elk. For preservation of a high level of genetic variability of pine stands it is desirable to use in «seed cultures» the best trees from local plantings

Current states in superconducting films: Numerical results

We present numerical solutions of Aslamazov–Lempitskiy (AL) equations for distributions of the transport current density in thin superconducting films in the absence of external magnetic field, in both the Meissner and the vortex states. These solutions describe smooth transition between the regimes of a wide film and a narrow channel and enable us to find critical currents and current-voltage characteristics within a wide range of the film width and temperature. The normalized critical currents and the electric field were found to be universal functions of the relation between the film width and the magnetic field penetration depth. We calculate the fitting constants of the AL theory and propose approximating formulas for the current density distributions and critical currents