Non-Ohmic variable-range hopping transport in one-dimensional conductors

Details Non-Ohmic variable-range hopping transport in one-dimensional conductors Non-Ohmic variable-range hopping transport in one-dimensional conductors

2005-04-02

arxiv.org/abs/cond-mat/0504047v2

Phys. Rev. Lett. 95,166604 (2005).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Version accepted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.95.166604

We investigate theoretically the effect of a finite electric field on the resistivity of a disordered one-dimensional system in the variable-range hopping regime. We find that at low fields the transport is inhibited by rare fluctuations in the random distribution of localized states that create high-resistance ``breaks'' in the hopping network. As the field increases, the breaks become less resistive. In strong fields the breaks are overrun and the electron distribution function is driven far from equilibrum. The logarithm of the resistance initially shows a simple exponential drop with the field, followed by a logarithmic dependence, and finally, by an inverse square-root law.

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