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The weak localization (WL) contribution to the two-level correlation functionis calculated for two-dimensional disordered conductors. Our analysis extendsto the nondiffusive (ballistic) regime, where the elastic mean path is of orderof the size of the system. In this regime the structure factor (the Fouriertransform of the two-point correlator) exhibits a singular behavior consistingof dips superimposed on a smooth positive background. The strongest dips appearat periods of the periodic orbits of the underlying clean system. Somewhatweaker singularities appear at times which are sums of periods of two suchorbits. The results elucidate various aspects of the weak localization physicsof ballistic chaotic systems.Comment: 13 pages, 13 figure

Weak localization in disordered systems at the ballistic limit