2008/03/24 by B. I. Shklovskii, B. I. Shklovskiǐ, Shklovskii, B. I.
Computer Science · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #cond-mat.dis-nn
paper · pdf · doi:10.48550/arxiv.0803.3331
Substantial changes made
openalex publication_date 2008/03/24 · arxiv created 2008/04/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In a film with large dielectric constant κ the electric field of an electron spreads inside the film before exiting the film at large distances of order of κd (d is the film width). This leads to the logarithmic Coulomb repulsion between electrons and modifies the shape of the Coulomb gap in the density of localized states in a doped film. As a result the variable range hopping conductivity in such a film has a peculiar temperature dependence, where the domain of the ln σ(T) ∝ (T0/T)p dependence, with the index p ≃ 0.7, is sandwiched between the two domains with p = 1/2.