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

Abstract

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.

17 pages, 10 figures, using jpsj2.cls and oversite.sty

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Cited by in corpus (7)

• Self-consistent solution for proximity effect and Josephson current in ballistic graphene SNS Josephson junctions
• A phenomenological theory of zero-energy Andreev resonant states
• The effect of nearest neighbor spin-singlet correlations in conventional graphene SNS Josephson junctions
• Josephson (001) tilt grain boundary junctions of high temperature superconductors
• Characterization of Sr2RuO4 Josephson junctions made of epitaxial films
• Josephson effect in quasi one-dimensional unconventional superconductors
• Theory of Josephson current on a lattice model of grain boundary in $d$-wave superconductors