Ferromagnetic Semiconductor - Singlet (or Triplet) Superconductor - Ferromagnetic Semiconductor Systems as Possible Logic Circuits and Switches

Abstract

We consider thin superconducting (S) films of thickness d $\ll {\xi }_0$, sandwiched between two ferromagnetic semiconducting insulators (FI) with differently orientated magnetizations - the FI-S-FI system. We calculate the dependence of the superconducting critical temperature on the orientation of the magnetization in the insulators and on the thickness of the superconducting film. The calculations are done for singlet as well as triplet superconductors. In the singlet case T_{c} depends on the relative orientation of the left and right magnetization only, while in the triplet case T_{c} depends on the absolute orientation of magnetization. The latter property can serve as a kind of spin-spectroscopy of triplet and unconventional superconductors, for instance in resolving the structure of the triplet order parameter in the recently discovered layered superconductor Sr_{2}RuO_{4}. The possibility of logic circuits and switches, which are based on the FI-S-FI systems with arbitrary orientation of magnetizations in FI films, is analyzed too.

14 pages, 3 figures

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• Spin current in ferromagnet/insulator/superconductor junctions
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• Manifestation of the odd-frequency spin-triplet pairing state in diffusive ferromagnet / superconductor junctions
• Odd-frequency superconducting pairing in one-dimensional systems
• Interplay of spin-discriminated Andreev bound states forming the 0-$\pi$ transition in Superconductor-Ferromagnet-Superconductor Junctions
• Andreev reflection through a quantum dot coupled with two ferromagnets and a superconductor
• Reentrant superconductivity in superconductor/ferromagnetic-alloy bilayers
• A superconducting absolute spin valve
• Nanoscale ferromagnet-superconductor-ferromagnet switches controlled by magnetization orientation
• Realisation of de Gennes${}^{\prime }$ Absolute Superconducting Switch with a Heavy Metal Interface
• Complete $T_c$ suppression and Néel triplets-mediated exchange in antiferromagnet-superconductor-antiferromagnet trilayers