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We present a concept to improve the spatial resolution of siliconpixel-detectors via the implementation of a sub-pixel cross-coupling, whichintroduces directional charge sharing between pixels. The charge-collectionelectrode is segmented into sub-pixels and each sub-pixel is coupled to theclosest sub-pixel of the neighboring pixel.  Such coupling schema is evaluated for a model sensor design with $50 \mu m\times 50 \mu m$ pixels and AC-coupled sub-pixels. A first-order SPICEsimulation is used, to determine feasible coupling strengths and assess theinfluence on the charge-collection efficiency. The impact of the couplingstrength on spatial resolution is studied with a dedicated simulation, takinginto account charge-cloud evolution, energy-loss straggling, electronic noise,and the charge detection-threshold. Using simplifying assumptions, such asperpendicular tracks and no gaps between charge-collection electrodes, animprovement of the spatial resolution by up to approximately $30\%$ is obtainedin comparison to the standard planar pixel layout.

Improving the Spatial Resolution of Silicon Pixel Detectors through Sub-pixel Cross-coupling