Nonreciprocal sigma-model saddle-point physics

Construct a nonreciprocal generalization of the nonperturbative replica-sigma-model saddle-point theory for disordered superconducting wires, incorporating spin–orbit coupling and magnetic-field effects and determining whether it produces field-odd corrections in the even transport channel.

Background

The paper’s time-dependent Ginzburg–Landau framework does not describe nonperturbative configurations of the sigma-model manifold that involve diffusive electronic modes and the Coulomb field. Such configurations produce fluctuation effects distinct from order-parameter phase slips.

The authors identify the inclusion of spin–orbit coupling and magnetic field in this nonperturbative sigma-model problem as an unexplored direction, particularly because it could generate field-odd contributions outside the field-antisymmetric phase-slip channel analyzed in the paper.