Positron and Electron Energy Bands and Wavefunctions, Fermi Surface, Density of States, Hall Coefficient and Positron Annihilation in Beryllium, Using a New Technique for Brillouin Zone Integration.
Abstract
The use of an accurate band structure and analytical biquadratic scheme produced accurate densities of states for Be. For the first time the Fermi energy is found at a position consistent with the observed hole conductivity in Be. The Hall coefficient is calculated from band structure; the value obtained for Be is in excellent agreement with experiment. The calculated Fermi surface of Be also is in excellent agreement with experiment. The calculated angular distribution of annihilation photons, ADAP, and the positron lifetime, were found to depend strongly on the electron and positron charge densities and on the electron group velocities. The calculated angular distribution, ADAP, was found also to depend strongly on the electron Bloch functions, and on the shape of the Fermi surface. Both the calculated and the experimental ADAP curves were found to deviate strongly from the freeelectron parabola.
 Publication:

Ph.D. Thesis
 Pub Date:
 1978
 Bibcode:
 1978PhDT.........8O
 Keywords:

 Physics: Condensed Matter;
 Beryllium;
 Brillouin Zones;
 Energy Bands;
 Fermi Surfaces;
 Hall Effect;
 Positron Annihilation;
 Angular Distribution;
 Charge Distribution;
 Electron States;
 Many Body Problem;
 SolidState Physics