Correlation-driven superconductivity from Ising-order fluctuations

Investigate whether fluctuations of the interaction-generated Ising-type spin-orbit-coupling order parameter produce correlation-driven superconductivity in the altermagnetic semimetal.

Background

The extended Coulomb interactions generate an Ising-type spin-orbit coupling through self-consistent Fock correlations, and the resulting altermagnetic semimetal lies in a regime associated with Gross–Neveu criticality. The paper does not analyze fluctuations beyond the Hartree–Fock treatment or determine whether fluctuations of this emergent order parameter mediate superconductivity. Resolving this question would establish whether the same interaction mechanism responsible for the topological altermagnetic phases can also drive superconducting order.

References

Further, having obtained the Ising-type spin-orbit coupling from Coulomb repulsion naturally leads to the question whether fluctuations in the corresponding order parameter could lead to correlation-driven superconductivity in the altermagnetic semimetal, as this falls into the regime of Gross-Neveu criticality .

— Interaction-mediated Co-existence of Altermagnetism and Topology  (2608.23442 - Bedow et al., 24 Aug 2026) in Discussion