Electric-field-dependent average resistance and the resistance fluctuation in one-dimensional disordered systems

Phys. Rev. B 35, 2029 – Published 1 February 1987
G. V. Vijayagovindan, A. M. Jayannavar, and N. Kumar


Following an invariant-imbedding approach, we obtain analytical expressions for the ensemble-averaged resistance (ρ) and its Sinai’s fluctuations for a one-dimensional disordered conductor in the presence of a finite electric field F. The mean resistance shows a crossover from the exponential to the power-law length dependence with increasing field strength in agreement with known numerical results. More importantly, unlike the zero-field case the resistance distribution saturates to a Poissonian-limiting form proportional to A‖F‖exp(-A‖F‖ρ) for large sample lengths, where A is constant.

DOI: http://dx.doi.org/10.1103/PhysRevB.35.2029

  • Received 26 September 1986
  • Published in the issue dated 1 February 1987

© 1987 The American Physical Society

Authors & Affiliations

G. V. Vijayagovindan, A. M. Jayannavar, and N. Kumar

  • Department of Physics, Indian Institute of Science, Bangalore-560 012, India

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