Theory of hopping conductivity of a suspension of nanowires in an insulator

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Type: Journal Publication

Web: http://prb.aps.org/abstract/PRB/v74/i5/e054205


Abstract: We study the hopping conduction in a composite made of straight metallic nanowires randomly and isotropically suspended in an insulator. Uncontrolled donors and acceptors in the insulator lead to random charging of wires and, hence, to a finite bare density of states at the Fermi level. Then the Coulomb interactions between electrons of distant wires result in the soft Coulomb gap. At low temperatures the conductivity σ is due to variable range hopping of electrons between wires and obeys the Efros-Shklovskii (ES) law lnσ∝−(TES/T)1/2. We show that TES∝1/(nL3)2, where n is the concentration of wires and L is the wire length. Due to enhanced screening of Coulomb potentials, at large enough nL3 the ES law is replaced by the Mott law.


Cited as: Tao Hu and B.I. Shklovskii, "Theory of hopping conductivity of a suspension of nanowires in an insulator", Physical Review B 74, 054205 (2006)

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