Hopping conductivity of a suspension of flexible wires in an insulator

dc.creatorHu, Tao
dc.creatorShklovskii, B. I.
dc.date2006-05-25
dc.date.accessioned2026-07-07T07:09:12Z
dc.date.available2026-07-07T07:09:12Z
dc.descriptionWe study the hopping conductivity in a composite made of Gaussian coils of flexible metallic wires randomly and isotropically suspended in an insulator at such concentrations that the spheres containing each wire overlap. Uncontrolled donors and acceptors in the insulator lead to random charging of wires and, hence, to a finite density of states (DOS) at the Fermi level. Then the Coulomb interactions between electrons of distant wires result in the soft Coulomb gap. At low temperatures the conductivity is due to variable range hopping of electrons between wires and obeys the Efros-Shklovskii (ES) law $\lnσ\propto -(T_{ES}/T)^{1/2}$ with $T_{ES}$ decreasing with concentration and length of the wires. Due to enhanced screening of Coulomb potentials, at large enough wire concentrations and sufficiently high temperatures, the ES law is replaced by the Mott law $\lnσ\propto -(T_{M}/T)^{1/4}$.
dc.description5 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0605639
dc.identifierhttp://arxiv.org/abs/cond-mat/0605639
dc.identifierPhys. Rev. B 74, 174201 (2006)
dc.identifierdoi:10.1103/PhysRevB.74.174201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110974
dc.subjectDisordered Systems and Neural Networks
dc.titleHopping conductivity of a suspension of flexible wires in an insulator
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