Realization of the $\pi$-state in junctions formed by multi-band superconductors with a spin-density-wave

Abstract

Using a simple model of multi-band superconductors, which can be applied in particular to Fe\nobreakdash-based pnictides, we calculate the Josephson current $I_{\text{J}}$ in a tunnel junction composed by such superconductors. We employ the tunneling Hamiltonian method and quasiclassical Green's functions. We study both the case of coexistence of the superconducting ($\Delta$) and magnetic (SDW---spin density wave) order parameters and the case when only the superconducting order parameter exists. We show that the current $I_{\text{J}}$ depends on the mutual orientation of magnetization of the SDW in the case of non-ideal nesting when the coexistence of superconducting and magnetic order parameters is possible as it takes place in Fe\nobreakdash-based pnictides. It is found that the realization of the $\pi$\nobreakdash-junction is possible in both cases. We compare our results for multi-band superconductors without the SDW with those obtained earlier and find that they coincide if the tunneling matrix elements are real. If these elements are complex, a new term appears in the formula for the Josephson critical current.

arXiv comment4+ pages, 1 figure Representation improved, typos corrected

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• Multiple-q current states in a multicomponent superconducting channel
• Quantum Waveguide Theory of the Josephson effect in Multiband Superconductors
• Spin Current in Junctions composed of Multi-band Superconductors with a Spin-density Wave
• Time-dependent equation for the magnetic order parameter near the quantum critical point in multiband superconductors with a spin density wave
• Chirality and spin transformation of triplet Cooper pairs upon interaction with singlet condensate
• Josephson effect in multi-terminal superconductor-ferromagnet junctions coupled via triplet components
• Effects of order parameter self-consistency in a $s_{\pm }$-s junction