Anisotropic scattering of conduction electrons on point defects in Al

Low-field galvanomagnetic properties of aluminium-based dilute alloys

“…Thus any attempt to explain the trends in the numerical results for the 4sp impurities becomes meaningless. In figure 1 we show the calculated lowfield Hall coefficient for all the 3d impurities, together with the experimental data [3,4,13] and the results of a previous calculation [26]. The only difference between previous and present calculations is that the former explicitly assumes that the vector mean free path is parallel to the group velocity of the corresponding Bloch electron states, whereas the present method is free from this approximation.…”

“…In the case of aluminium-based alloys, although the free-electron model predicts a constant Hall coefficient and zero magnetoresistance independent of the nature and strength of the scattering mechanisms, important variations of these quantities with different solute atoms are reported [3][4][5][6][7][8][9][10][11][12][13][14]. These deviations from the free-electron predictions are mainly due to the scattering of the electronic states of the anisotropic parts of the host FS from the impurity potential and have defied so far a consistent interpretation.…”

“…An attempt to calculate low-field galvanomagnetic properties of aluminium-based dilute alloys starting from the self-consistent solution of the linearized Boltzmann equation for an anisotropic transport relaxation time was made by Böning et al [13,14,16,17] and by Yonemitsu et al [18]. In this approach, the four-orthogonal-plane-wave (4OPW) model was used for the Al host [19], whereas the effective potential of the point defect was described by pseudopotential form factors to first-order Born approximation.…”

Ηλεκτρονική Δομή Και Φαινόμενα Μεταφοράς Σε Αραιά Μεταλλικά Κράματα

“…= τρΐ^. Τότε η εξίσωση του Boltzmann δε σπάει σε μια ιε ραρχία ολοκληρωτικών εξισώσεων, παρά ο συντελεστής Hall χαμηλού πεδίου συνδέεται με το Τ£, όπως αυτό προκύπτει από την εξίσωση του Boltzmann απουσία μαγνητικού πεδίου, μέσω του τύπου του Tsuji [32]: [55,56,57], ενώ η διακεκομένη γραμμή δείχνει τα θεωρητικά αποτελέσματα με τη χρήση του τύπου του Tsuji, από την αναφορά [43].…”