Quantum-Geometric Meissner Effect in Magnetized Color Superconductors

Abstract

We find a quantum-geometric Meissner response in magnetized two-flavor color-superconducting (2SC) quark matter. Landau quantization quenches the transverse quasiparticle dispersion, suppressing the conventional Fermi-surface contribution and giving rise to a Meissner response governed by the quantum geometry of the Landau levels. In the strong-field regime, the response becomes dominated by the quantum metric of the lowest Landau level (LLL), and the leading scaling of the transverse Meissner mass is consequently set by the pairing gap, in contrast to the chemical potential scaling of conventional color superconductors. This unconventional scaling has a topological origin, as the LLL quantum metric is constrained by its Chern number. The reduced transverse Meissner mass provides potential implications for kHz quasi-periodic oscillations in magnetars.