NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2017, 8 (2), P. 231–235
Electrical conductivity model for quasi-one-dimensional structures
S. A. Botman – Immanuel Kant Baltic Federal University, ul. Aleksandra Nevskogo, 14, Kaliningrad, 236016, Russia; sbotman@innopark.kantiana.ru
S. B. Leble – Immanuel Kant Baltic Federal University, ul. Aleksandra Nevskogo, 14, Kaliningrad, 236016, Russia; sleble@kantiana.ru
The electron-impurity scattering coefficient of Bloch waves for one dimensional Dirac comb potential is used for calculating the temperature dependence of conductivity within kinetic theory. We restrict ourselves by scattering on impurities that is also modelled by zero-range potential. The conductivity is obtained by standard averaging in momentum space, it is expressed by integral that is evaluated within temperature expansion.
Keywords: Dirac comb, resistivity, kinetic equation, Bloch wave scattering.
PACS 03.65.Nk, 05.60.k
DOI 10.17586/2220-8054-2017-8-2-231-235