Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7376196 | Physica A: Statistical Mechanics and its Applications | 2018 | 14 Pages |
Abstract
A one-dimensional quantum system with off diagonal disorder, consisting of a sample of conducting regions randomly interspersed within potential barriers is considered. Results mainly concerning the large N limit are presented. In particular, the effect of compression on the transmission coefficient is investigated. A numerical method to simulate such a system, for a physically relevant number of barriers, is proposed. It is shown that the disordered model converges to the periodic case as N increases, with a rate of convergence which depends on the disorder degree. Compression always leads to a decrease of the transmission coefficient which may be exploited to design nano-technological sensors. Effective choices for the physical parameters to improve the sensitivity are provided. Eventually large fluctuations and rate functions are analysed.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Tommaso Vanzan, Lamberto Rondoni,