Автор |
M Kaveh |
Автор |
N F Mott |
Дата выпуска |
1983-10-20 |
dc.description |
A power law term in the eigenfunctions Psi of electrons in weakly disordered systems (for which k<sub>F</sub>l>>1, where l is the elastic mean free path) is derived from first-order perturbation theory. It is shown that psi =A psi <sub>ext</sub>(1)+(B/R<sup>d-1</sup>) psi <sub>ext</sub><sup>(2)</sup> for d>1 where d is the dimensionality, A is a constant, B is a function of the angle Theta between K and r, and psi <sub>ext</sub><sup>(1)</sup>, psi <sub>ext</sub><sup>(2)</sup> are extended wavefunctions with different phases. This result confirms the recent conjecture of M. Kaveh and N.F. Mott (1983 Phil. Mag. B47 L9) which was based on a semiclassical diffusion model. The authors conclude that for any number of dimensions the corrections to the Boltzmann formula for the metallic conductivity in the weak disorder limit, which for d=3 can in some cases lead to a value of the conductivity tending continuously to zero, are due to this power law component of the wavefunction. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Power law localisation in disordered systems |
Тип |
lett |
DOI |
10.1088/0022-3719/16/29/009 |
Print ISSN |
0022-3719 |
Журнал |
Journal of Physics C: Solid State Physics |
Том |
16 |
Первая страница |
L1067 |
Последняя страница |
L1072 |
Аффилиация |
M Kaveh; Dept. of Phys., Bar-Ilan Univ., Ramat-Gan, Israel |
Аффилиация |
N F Mott; Dept. of Phys., Bar-Ilan Univ., Ramat-Gan, Israel |
Выпуск |
29 |