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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

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