Chirality induced pseudo-magnetic field, flat bands and enhancement of superconductivity.

In systems where exchange interactions couple carrier spins to a spin texture with a net chirality, there is a spin-dependent Aharonov-Bohm effect, where the geometric gauge field and associated pseudo-magnetic field have opposite signs for carriers with opposite spins. As a result, spin-singlet Cooper pairs see a net zero vector potential, meaning superconducting pairing is not hindered by pair-breaking effects. This allows superconductivity to occur even when the geometric field induces quantized Landau levels. We identify the dominant pairing order as an s-wave pair density wave of the FFLO type and explore its competition with SDW/CDW orders. Under certain conditions, the flat Landau levels significantly enhance superconducting Tc, favoring superconductivity over magnetic orders when pairing interaction is sufficiently strong. We will also discuss experimental signatures of this exotic paired state, which include flat bands of Bogoliubov-deGennes quasiparticles, leading to Landau-level-type peaks in the quasiparticle density of states, an anomalous Hall effect, and cyclotron resonance without an external magnetic field.