  How to detect the skyrmion position is a crucial problem in future
skyrmionics since it corresponds to the reading process of information. We
propose a method to detect the skyrmion position purely electrically by
measuring the Hall conductance in a constricted geometry. The Hall conductance
becomes maximum when a skyrmion is at the lead position. It is possible to
detect the skyrmion position even at room temperature. We find an optimized
width of the sample determined by the skyrmion radius. We also investigate the
effects of elastic and inelastic scatterings, and finite temperature. We find
that the local density of states become minimum at the skyrmion position. Our
results will be a basis of future skyrmion electronics.
