Magnetic neutron-electron scattering; use of thef-sum rule to assess the effect of electron correlations,lattice interaction and magnetic field |
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| Authors: | S W Lovesey Kalliopi N Trohidou |
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| Institution: | (1) Rutherford Appleton Laboratory, Science and Engineering Research Council, Chilton, OX11 0QX Didcot, Oxfordshire, UK;(2) Department of Theoretical Physics, Nuclear Research Center  Democritos , Aghia Paraskevi Attikis, Athens, Greece |
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| Abstract: | We have calculated thef-sum rule for magnetic neutron scattering off electrons. Correlations alter the cross-section significantly at intermediate scattering vectors. Field induced effects are most significant at small scattering vectors, and the sum rule diverges in the limit of zero scattering vector. This feature is attributed to the field induced coupling of neutrons to the lowest energy Landau level and the collective density oscillation (hybrid mode). Our interpretation is based on an RPA calculation of the response function for neutron scattering from a magnetized plasma. The contribution to the cross-section from the electron-phonon interaction is also assessed, and it is found to increase with decreasing scattering vector. |
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