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Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
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The spin state of an NMR-active nucleus can have a slight effect on its immediate electronic environment. This effect propagates through the intervening bonds and affects the electronic environments of NMR-active nuclei up to three bonds away; occasionally, even farther. This phenomenon is called spin–spin coupling or J-coupling. Coupling interactions are mutual and result in small changes in the absorption frequencies of both nuclei involved. While nuclei of the same element are involved...
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The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
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Coupling interactions are strongest between NMR-active nuclei bonded to each other, where spin information can be transmitted directly through the pair of bonding electrons. While nuclei polarize their electrons to the opposite spins, the bonding electron pair has opposite spins. Configurations with antiparallel nuclear spins are expected to be lower in energy. When coupling makes antiparallel states more favorable, J is considered to have a positive value. The one-bond coupling constant, 1J,...
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Intra-Unit-Cell Singlet Pairing Mediated by Altermagnetic Fluctuations.

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Altermagnetic fluctuations drive superconductivity, favoring distinct pairing states based on fluctuation range. Shorter-range fluctuations induce intra-unit-cell pairing, while longer-range ones stabilize spin-triplet p-wave states.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials
  • Superconductivity

Background:

  • Altermagnetism, a novel magnetic order, presents unique electronic properties.
  • Understanding magnetic fluctuations is crucial for predicting superconducting instabilities.
  • The role of sublattice structure in altermagnetism-induced superconductivity remains underexplored.

Purpose of the Study:

  • Investigate superconducting instabilities driven by altermagnetic fluctuations.
  • Determine the influence of altermagnetic order on pairing symmetries.
  • Explore the topological properties emerging from altermagnetism-superconductivity coexistence.

Main Methods:

  • Theoretical analysis of altermagnetic fluctuations.
  • Investigating Cooper pairing mechanisms.
  • Exploring topological invariants and their signatures.

Main Results:

  • Shorter-range altermagnetic fluctuations stabilize intra-unit-cell pairing (s-wave, p-wave, d-wave).
  • Longer-range fluctuations favor standard spin-triplet p-wave pairing.
  • Coexistence with altermagnetism induces nontrivial topology, including Bogoliubov Fermi surfaces and higher-order topological superconductivity.

Conclusions:

  • Sublattice degrees of freedom are key in altermagnetic-fluctuation mediated interactions.
  • Altermagnetism offers a new route to exotic superconducting states and topological phenomena.
  • This work establishes a theoretical framework for altermagnetic superconductivity.