Fixed-aspect thermodynamic scaling of the survival window

Determine the fixed-aspect thermodynamic scaling of the reading-independent nonreciprocity window for the Moore–Read particle-entanglement counting, including whether its endpoint remains finite or shrinks as system size increases.

Background

The reported survival threshold depends on both system size and torus geometry. Along the sampled sequence of fixed-transverse-circumference tori, the reading-independent window endpoint increases, whereas a comparison at fixed orbital number shows earlier delocking for the more elongated geometry.

Because both torus dimensions change in the available size sequence, the authors cannot determine the behavior at fixed aspect ratio in the thermodynamic limit. Establishing this scaling would clarify whether the Moore–Read counting has a finite tolerance to nonreciprocity beyond the finite systems accessible to exact diagonalization.