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In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
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Universal Spin Superconducting Diode Effect from Spin-Orbit Coupling.

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Summary
This summary is machine-generated.

We discovered a universal spin superconducting diode effect (SDE) driven by spin-orbit coupling (SOC) in spin-triplet superconductors. This effect shows unequal critical spin supercurrents in opposite directions, offering new possibilities for spintronic devices.

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Area of Science:

  • Condensed Matter Physics
  • Spintronics
  • Superconductivity

Background:

  • Superconducting diode effect (SDE) enables non-dissipative rectification of supercurrents.
  • Spin-orbit coupling (SOC) is crucial for many exotic phenomena in condensed matter.
  • Spin-triplet superconductors are key platforms for advanced quantum phenomena.

Purpose of the Study:

  • To propose and theoretically demonstrate a universal spin superconducting diode effect (SDE).
  • To investigate the role of spin-orbit coupling (SOC) in inducing spin SDE.
  • To unify the understanding of both spin and charge SDEs.

Main Methods:

  • Theoretical analysis using Ginzburg-Landau theory.
  • Energy band analysis to understand Cooper pair behavior.
  • Numerical simulations of a p-wave superconductor and a superconducting nanowire.

Main Results:

  • Demonstrated that SOC in spin-triplet superconductors leads to unequal critical spin supercurrents in opposite directions.
  • Showed that spin-↑↑ and spin-↓↓ Cooper pairs acquire opposite phase gradients and momenta due to SOC.
  • Confirmed the existence of spin SDE in both a model p-wave superconductor and a realistic superconducting nanowire.

Conclusions:

  • The proposed mechanism provides a unified framework for understanding spin and charge SDEs.
  • The universal spin SDE induced by SOC opens new avenues for spintronic applications.
  • This work highlights the potential of spin-triplet superconductors with SOC for novel electronic devices.