The discovery of the Fe pnictide superconductors generated great interest as the structure consists of planes of a magnetic material quite similar to the cuprate superconductors. Fe(Te0.5Se0.5) is a particularly simple system whose planes are isostructural to the FeAs layers found in the originally discovered superconductors of this type. We report here neutron scattering measurements on this material that provide an understanding of the superconductivity. Since the information about the Fermi surface is available both from photoemission and band structure calculations for FeTe, FeSe and other related materials the neutron spectra can be used to see if the itinerant electron picture is valid. The results are consistent with a picture where there are both electron and hole Fermi surfaces that make exact (pi,pi) transitions possible. This would normally favor either a spin or charge density wave state. However, our measurements show the extent of the region where (pi,pi) transitions take place and demonstrate that there are a much larger number of transitions near pi,pi). The near (pi,pi) transitions are observed both above and below Tc and are expected to be strongly pairing. The superconductivity can be attributed to these excitations while the exactly (pi,pi) transitions produce the narrow resonance excitation that appears below Tc.
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