Numerical studies of variable-range hopping in one-dimensional systems

Details Numerical studies of variable-range hopping in one-dimensional systems Numerical studies of variable-range hopping in one-dimensional systems

2009-09-02

arxiv.org/abs/0909.0320v2

Phys. Rev. B 80, 155435 (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

12 pages, 12 figures. Published version

Scientific paper

10.1103/PhysRevB.80.155435

Hopping transport in a one-dimensional system is studied numerically. A fast algorithm is devised to find the lowest-resistance path at arbitrary electric field. Probability distribution functions of individual resistances on the path and the net resistance are calculated and fitted to compact analytic formulas. Qualitative differences between statistics of resistance fluctuations in Ohmic and non-Ohmic regimes are elucidated. The results are compared with prior theoretical and experimental work on the subject.

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