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Starting from a random matrix model, we construct the low-energy effectivefield theory for the noninteracting gas of quasiparticles of a disorderedsuperconductor in the mixed state. The theory is a nonlinear sigma model, withthe order parameter field being a supermatrix whose form is determined solelyon symmetry grounds. The weak localization correction to the field-axis thermalconductivity is computed for a dilute array of s-wave vortices near the lowercritical field H_c1. We propose that weak localization effects, cut off at lowtemperatures by the Zeeman splitting, are responsible for the field dependenceof the thermal conductivity seen in recent high-T_c experiments by Aubin et al.Comment: RevTex, 8 pages, 1 eps figure, typos correcte

Weak localization of disordered quasiparticles in the mixed superconducting state