Phonons in conductors with magnetoimpurity electron states

Abstract

A study is made of the changes in on the phonon spectrum and damping in a conductor in a quantizing magnetic field under the joint influence of quasilocal vibrations of impurity atoms in the lattice and magnetoimpurity electron states at those atoms. A system of equations for the electron and ion Green’s function is obtained on the basis an electron–ion model of a nonideal conductor in a magnetic field with the quasilocal vibrations and the magnetoimpurity states taken into account. At a low concentration of impurity atoms the magnetoimpurity states give resonance contributions to the polarization operator. They have a substantial influence on the phonon spectrum and damping. The magnetoimpurity states cause a crossover splitting of the phonon dispersion curves and give rise to new branches in the spectrum of elastic vibrations.