Abstract
The real part of the dynamical matrix, derived earlier in a weak local potential ion-electron interaction model of the metal, is investigated in the case of aluminium. It is shown that the free electron, or Lindhard, dielectric function leads to a picture of the metal which is inconsistent with the dHvA observations of the Fermi surface. By adjusting one parameter, however, the experimental phonon frequencies are reproduced satisfactorily. Even some simple structure in the derivative d{omega}/dq can be reproduced in this way. Although corrections to the Lindhard dielectric matrix give no essential contributions to the dynamical matrix, the first order corrections, which are the most important, can explain the observed Fermi surface. Much of the observed structure in the phonon dispersion curves seems also to be due to these non-diagonal terms in the dielectric matrix.
Johnson, R;
[1]
Westin, A
[2]
- AB Atomenergi, Nykoeping (Sweden)
- Dept. of Theore tical Physics, Univ. of Uppsala, Uppsala (Sweden)
Citation Formats
Johnson, R, and Westin, A.
On Phonons in Simple Metals II. Calculated Dispersion Curves In Aluminium.
Sweden: N. p.,
1969.
Web.
Johnson, R, & Westin, A.
On Phonons in Simple Metals II. Calculated Dispersion Curves In Aluminium.
Sweden.
Johnson, R, and Westin, A.
1969.
"On Phonons in Simple Metals II. Calculated Dispersion Curves In Aluminium."
Sweden.
@misc{etde_20956188,
title = {On Phonons in Simple Metals II. Calculated Dispersion Curves In Aluminium}
author = {Johnson, R, and Westin, A}
abstractNote = {The real part of the dynamical matrix, derived earlier in a weak local potential ion-electron interaction model of the metal, is investigated in the case of aluminium. It is shown that the free electron, or Lindhard, dielectric function leads to a picture of the metal which is inconsistent with the dHvA observations of the Fermi surface. By adjusting one parameter, however, the experimental phonon frequencies are reproduced satisfactorily. Even some simple structure in the derivative d{omega}/dq can be reproduced in this way. Although corrections to the Lindhard dielectric matrix give no essential contributions to the dynamical matrix, the first order corrections, which are the most important, can explain the observed Fermi surface. Much of the observed structure in the phonon dispersion curves seems also to be due to these non-diagonal terms in the dielectric matrix.}
place = {Sweden}
year = {1969}
month = {Jul}
}
title = {On Phonons in Simple Metals II. Calculated Dispersion Curves In Aluminium}
author = {Johnson, R, and Westin, A}
abstractNote = {The real part of the dynamical matrix, derived earlier in a weak local potential ion-electron interaction model of the metal, is investigated in the case of aluminium. It is shown that the free electron, or Lindhard, dielectric function leads to a picture of the metal which is inconsistent with the dHvA observations of the Fermi surface. By adjusting one parameter, however, the experimental phonon frequencies are reproduced satisfactorily. Even some simple structure in the derivative d{omega}/dq can be reproduced in this way. Although corrections to the Lindhard dielectric matrix give no essential contributions to the dynamical matrix, the first order corrections, which are the most important, can explain the observed Fermi surface. Much of the observed structure in the phonon dispersion curves seems also to be due to these non-diagonal terms in the dielectric matrix.}
place = {Sweden}
year = {1969}
month = {Jul}
}