Abstract
Following an invariant-imbedding approach, we obtain analytical expressions for the ensemble-averaged resistance (\ensuremath{\rho}) 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\ensuremath{\Vert}F\ensuremath{\Vert}exp(-A\ensuremath{\Vert}F\ensuremath{\Vert}\ensuremath{\rho}) for large sample lengths, where A is constant.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
