“…3 The value of z is estimated to be approximately 0.75, which agrees with the result from coincidence Compton measurements. 4 In contrast, CP measurements on Li 3,5,6 and LiMg alloys 7 show significant discrepancies between experiment and KKR-LDA theory, in which the electron-electron correlation is included via the Lam-Platzman correction. 8 The experimental valence profiles are above the theoretical ones at p z Ͼp F and below near the center of the profile.…”
We present temperature-dependent valence Compton profiles of single-crystalline Al and Li measured with 30 keV incident energy and 173°scattering angle with momentum space resolution of 0.1 a.u. The valence profiles for both samples measured at low temperature are above the high-temperature ones at momentum p z Ϸp F , the Fermi momentum, and below at p z ϭ0 a.u., which corresponds to a narrowing of the valence Compton profiles with increasing temperature. This fundamental temperature dependence can be attributed to the variation of the lattice constant and thus the variation of the Fermi momentum with temperature when the experimental results are compared with jellium calculations of the valence Compton profiles utilizing a correlation corrected occupation number density. In addition the Li experiment shows a significant temperature dependence even for p z Ͼp F , which is assigned to the diminished contribution of higher momentum components to the valence Compton profile with increasing temperature. The Li results are in good agreement with calculations using an empirical temperature-dependent local pseudopotential.
“…3 The value of z is estimated to be approximately 0.75, which agrees with the result from coincidence Compton measurements. 4 In contrast, CP measurements on Li 3,5,6 and LiMg alloys 7 show significant discrepancies between experiment and KKR-LDA theory, in which the electron-electron correlation is included via the Lam-Platzman correction. 8 The experimental valence profiles are above the theoretical ones at p z Ͼp F and below near the center of the profile.…”
We present temperature-dependent valence Compton profiles of single-crystalline Al and Li measured with 30 keV incident energy and 173°scattering angle with momentum space resolution of 0.1 a.u. The valence profiles for both samples measured at low temperature are above the high-temperature ones at momentum p z Ϸp F , the Fermi momentum, and below at p z ϭ0 a.u., which corresponds to a narrowing of the valence Compton profiles with increasing temperature. This fundamental temperature dependence can be attributed to the variation of the lattice constant and thus the variation of the Fermi momentum with temperature when the experimental results are compared with jellium calculations of the valence Compton profiles utilizing a correlation corrected occupation number density. In addition the Li experiment shows a significant temperature dependence even for p z Ͼp F , which is assigned to the diminished contribution of higher momentum components to the valence Compton profile with increasing temperature. The Li results are in good agreement with calculations using an empirical temperature-dependent local pseudopotential.
“…The EMD's of Fig. 4͑a͒ and that of graphite 53 have been used as input data. Due to the finite extension and the granularity of the electron detector, only a fraction f i of all recoil electrons, generated by photons scattered at the element iϭC, Cu, or Ni and detected by the ␥ detector, are measured.…”
We report on the measurement of the three-dimensional electron momentum density ͑EMD͒ of a 22 nm Cu/22 nm Ni sandwich foil and of a Cu 0.50 Ni 0.50 alloy film with the same thickness, which was obtained from an identical sandwich by interdiffusion. The EMD's were measured by coincident detection of a Compton scattered photon with its recoil electron. The experiments were performed at the High-Energy beamline of the European Synchrotron Radiation Facility. The experimentally observed small change of the EMD due to alloying is reproduced by the Korringa-Kohn-Rostoker coherent-potential approximation scheme ͓Benedek et al.
“…This means that the simple picture of an occupancy for every state below the Fermi energy equal to one becomes invalid. Since most of the band structure calculations use the occupancy of the non-interacting electron gas one has to correct EMDs, a procedure known as the Lam-Platzman correction [27]. Due to the sharp break in the EMD the CP has a discontinuity at p F , see the insert of Figure 8.6(b).…”
Section: Lifetime Effects In Compton Scatteringmentioning
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